Earthquakes and Structures

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Earthquake induced torsion in buildings: critical review and state of the art

  • Anagnostopoulos, S.A. (Department of Civil Engineering University of Patras) ;
  • Kyrkos, M.T. (Attica Region) ;
  • Stathopoulos, K.G. (DOMI-Consulting Engineers)
  • Received : 2014.08.13
  • Accepted : 2014.10.10
  • Published : 2015.02.25
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Abstract

The problem of earthquake induced torsion in buildings is quite old and although it has received a lot of attention in the past several decades, it is still open. This is evident not only from the variability of the pertinent provisions in various modern codes but also from conflicting results debated in the literature. Most of the conducted research on this problem has been based on very simplified, highly idealized models of eccentric one-story systems, with single or double eccentricity and with load bearing elements of the shear beam type, sized only for earthquake action. Initially, elastic models were used but were gradually replaced by inelastic models, since building response under design level earthquakes is expected to be inelastic. Code provisions till today have been based mostly on results from one-story inelastic models or on results from elastic multistory idealizations. In the past decade, however, more accurate multi story inelastic building response has been studied using the well-known and far more accurate plastic hinge model for flexural members. On the basis of such research some interesting conclusions have been drawn, revising older views about the inelastic response of buildings based on one-story simplified model results. The present paper traces these developments and presents new findings that can explain long lasting controversies in this area and at the same time may raise questions about the adequacy of code provisions based on results from questionable models. To organize this review better it was necessary to group the various publications into a number of subtopics and within each subtopic to separate them into smaller groups according to the basic assumptions and/or limitations used. Capacity assessment of irregular buildings and new technologies to control torsional motion have also been included.

Keywords

References

  1. ASCE 7-05 (2005), Minimum design loads for buildings and other structures.
  2. EN 1998-1 (2004), Eurocode 8: Design of structures for earthquake resistance. Part I : General rules, seismic actions and rules for buildings.
  3. International Building Code (IBC) (2012), International Code Council Inst., USA.
  4. MOC-2008, Manual of Civil Structures, Mexico.
  5. National Building Code of Canada (NBCC) (2005), National Research Council of Canada.
  6. N.Z.S. 1170.5 (2004), Stuctural design actions, Part 5: Earthquake actions, New Zealand.
  7. Chandler, A.M., Duan, X.N. and Rutenberg, A. (1996), "Seismic torsional response: Assumptions, controversies and research progress", Europ. Earthq. Eng., 10(1), 37-51.
  8. Correnza, J.C., Hutchinson, G.L. and Chandler, A.M. (1992), "A review of reference models for assessing inelastic seismic torsional effects in buildings", Soil Dyn. Earthq. Eng., 11(8), 465-484. https://doi.org/10.1016/0267-7261(92)90010-B
  9. Cosenza, E., Manfredi, G. and Realfonzo, R. (2000), "Torsional effects and regularity conditions in RC buildings", Proceedings of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand.
  10. De Stefano, M. and Pintucchi, B. (2008), "A review of research on seismic behaviour of irregular building structures since 2002", Bul. Earthq. Eng., 6, 285-308. https://doi.org/10.1007/s10518-007-9052-3
  11. Rutenberg, A. (1992), "Nonlinear response of asymmetric building structures and seismic codes: A state of the art", Europ.Earthq. Eng., 6(2), 3-19.
  12. Rutenberg, A. and De Stefano, M. (1997), "On the seismic performance of yielding asymmetric multistorey buildings: A review and a case study", Seismic Design Methodologies for the Next Generation of Codes, Eds. Fajfar and Krawinkler, ISBN 90.54.10.928.9.
  13. Rutenberg, A. (1998), "EAEE Task Group (TG) 8: Behavior of irregular and complex structures-State of the art report: Seismic nonlinear response of code-designed asymmetric structures", Proceedings of the 11th European Conference on Earthquake Engineering.
  14. Rutenberg, A. (1998), "EAEE task group (TG) 8: Behavior of irregular and complex structures - Asymmetric structures-Progress since 1998", Proceedings of 12th European Conference on Earthquake Engineering, Paper No. 832.
  15. Alexander, N.A. (2007), "The role of phase difference components of ground motions in the torsional response of asymmetric buildings", Earthq. Eng. Struct. Dyn., 36(10), 1385-1406. https://doi.org/10.1002/eqe.686
  16. Castellani, A. and Boffi, G. (1986), "Rotational components of the surface ground motion during an earthquake", Earthq. Eng. Struct. Dyn., 14, 751-767. https://doi.org/10.1002/eqe.4290140506
  17. De La Llera, J.C. and Chopra, A.K. (1994d), "Accidental torsion in buildings due to base rotational excitation", Earthq. Eng. Struct. Dyn., 23(9), 1003-1022. https://doi.org/10.1002/eqe.4290230906
  18. Hahn, G.D. and Liu, X. (1994), "Torsional response of unisymmetric buildings to incoherent ground motions", J. Struct. Eng., 120(4), 1158-1181. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1158)
  19. Hao, H. and Duan, X.N. (1995), "Seismic response of asymmetric structures to multiple ground motions", J. Struct. Eng., 121(11), 1557-1564. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:11(1557)
  20. Hao, H. and Duan, X. (1996), "Multiple excitation effects on response of symmetric buildings", Eng. Struct., 18(9), 732-740. https://doi.org/10.1016/0141-0296(95)00217-0
  21. Hao, H. (1996), "Characteristics of torsional ground motions", Earthq. Eng. Struct. Dyn., 25(6), 599-610. https://doi.org/10.1002/(SICI)1096-9845(199606)25:6<599::AID-EQE571>3.0.CO;2-2
  22. Hao, H. (1997), "Torsional response of building structures to spatial random ground excitations", Eng. Struct., 19(2), 105-112. https://doi.org/10.1016/S0141-0296(96)00029-6
  23. Hao, H. (1998), "Response of two-way eccentric building to nonuniform base excitations", Eng. Struct., 20(8), 677-684. https://doi.org/10.1016/S0141-0296(97)00103-X
  24. Heredia-Zanovi, E. and Leyva, A. (2003), "Torsional response of symmetric buildings to incoherent and phase-delayed earthquake groung motions", Earthq. Eng. Struct. Dyn., 32(7), 1021-1038. https://doi.org/10.1002/eqe.260
  25. Inoue, Y. and Shima, H. (1988), "Earthquake response of torsionally excited soil-structure systems", Proceedings of the 9th World Conference, Earthq. Eng.
  26. Juarez, M. and Aviles, J. (2008), "Effective eccentricity due to the effects of structural asymmetry and wave passage", Eng. Struct., 30, 831-844. https://doi.org/10.1016/j.engstruct.2007.03.026
  27. Lee, V.W. and Trifunac, M.D. (1985), "Torsional accelerograms", Soil. Dyn. Earthq. Eng. 4(3), 132-139.
  28. Luco, J.E. (1976), "Torsional response of structures to obliquely incident seismic SH waves", Earthq. Eng. Struct. Dyn., 4(3), 207-219. https://doi.org/10.1002/eqe.4290040302
  29. Nathan, N.D. and McKenzie, J.R. (1975), "Rotational components of earthquake motion". Canadian J. Civ. Eng., 2(4), 430-436. https://doi.org/10.1139/l75-039
  30. Newmark, N.M. (1969), "Torsion in symmetrical buildings", Proceedings of the 4th World Conference, Earthq. Eng. ASCE.
  31. Rigato, A.B. and Medina, R.A. (2007), "Influence of angle incidence on seismic demands for inelastic single-storey structures subjected to bi-directional ground motions", Eng. Struct., 29, 2593-2601. https://doi.org/10.1016/j.engstruct.2007.01.008
  32. Rutenberg, A. and Heidebrecht, A.C. (1985), "Response spectra for torsion, rocking and rigid foundation", Earthq. Eng. Struct. Dyn., 13(4), 543-557. https://doi.org/10.1002/eqe.4290130408
  33. Shakib, H. and Datta, T.K. (1993), "Inelastic response of torsionally coupled system to an ensemble of nonstationary random ground motion", Eng. Struct., 15(1), 13-20. https://doi.org/10.1016/0141-0296(93)90012-S
  34. Shakib, H. and Tohidi, R.Z. (2002), "Evaluation of accidental eccentricity in buildings due to rotational component of earthquake", J. Earthq. Eng., 6(4), 431-445. https://doi.org/10.1080/13632460209350424
  35. Smerzini, C., Paolucci, R. and Stupazzini, M. (2009), "Experimental and numerical results on earthquakeinduced rotational ground motions", J. Earthq. Eng., 13(S1), 66-82. https://doi.org/10.1080/13632460902813299
  36. Tso, W.K. and Hsu, T.I. (1978), "Torsional spectrum for earthquake motions", Earthq. Eng. Struct. Dyn., 6(4), 375-382. https://doi.org/10.1002/eqe.4290060405
  37. Vasquez, J. and Riddell, R. (1988), "An equivalent torsional component of ground motion for earthquake design of buildings", Proceedings of the 9th World Conference, Earthq. Eng., Japan Association for Earthquake Disaster Prevention.
  38. Wu, S.T. and Leyendecker, E.V. (1984), "Dynamic eccentricity of structures subjected to S-H waves", Earthq. Eng. Struct. Dyn., 12, 619-628. https://doi.org/10.1002/eqe.4290120504
  39. Yeh, C.S., Loh, C.H. and Su, G.W. (1992), "Results of observation of torsional ground motions and response analysis", Proceeding of the 10th World Conference, Earthq. Eng.
  40. Anastasiadis, K., Athanatopoulou, A. and Makarios, T. (1998), "Equivalent static eccentricities in the simplified methods of seismic analysis of buildings", Earthq. Spectra, 14(1), 1-34. https://doi.org/10.1193/1.1585986
  41. Antonelli, R.G., Meyer, K.J. and Oppenheim, I.J. (1981), "Torsional instability in structures", Earthq. Eng. Struct. Dyn., 9(3), 221-237. https://doi.org/10.1002/eqe.4290090304
  42. Ayre, R.S. (1938), "Interconnection of translational and torsional vibration in structures", Bul. Seism. Soc. Am., 28, 89-130.
  43. Banerji, P. and Barve, M. (2008), "Effect of uncertainties in structural parameters on earthquake response of torsionally-coupled buildings", Proceedings of the 14th World Conference, Earthq. Eng.
  44. Bustamante, J.I. and Rosenblueth, E. (1960), "Buildng code provisions on torsional oscillation", Proceedings of the 2nd World Conference, Earthq. Eng.
  45. Chandler, A.M. and Hutchinson, G.L. (1986), "Torsional coupling effects in the earthquake response of asymmetric buildings", Eng. Struct., 8(4), 222-237. https://doi.org/10.1016/0141-0296(86)90030-1
  46. Chandler, A.M. and Hutchinson, G.L. (1987a), "Evaluation of code torsional provisions by a time history approach", Earthq. Eng. Struct. Dyn., 15(4), 491-516. https://doi.org/10.1002/eqe.4290150406
  47. Chandler, A.M. and Hutchinson, G.L. (1987b), "Code design provisions for torsionally coupled buildings on elastic foundation", Earthq. Eng. Struct. Dyn., 15(4), 517-536. https://doi.org/10.1002/eqe.4290150407
  48. Chandler, A.M. and Hutchinson, G.L. (1987c), "Parametric earthquake response of torsionally coupled buildings with foundation interaction", Soil Dyn. Earthq. Eng., 6(3), 138-148. https://doi.org/10.1016/0267-7261(87)90010-8
  49. Chandler, A.M. and Hutchinson, G.L. (1988), "A modified approach to earthquake resistant design of torsionally coupled buildings", Bul. NZ. Natl. Soc. Earthq. Eng., 21(2), 140-153.
  50. Chandler, A.M. and Hutchinson, G.L. (1992), "Effect of structural period and ground motion parameters on the earthquake response of asymmetric buildings", Eng. Struct., 14(6), 354-360. https://doi.org/10.1016/0141-0296(92)90018-L
  51. Dempsey, K.M. and Irvine, H.M. (1979), "Envelopes of maximum seismic response for a partially symmetric single storey building model", Earthq. Eng. Struct. Dyn., 7(2), 161-180. https://doi.org/10.1002/eqe.4290070205
  52. Dempsey, K.M. and Tso, W.K. (1982), "An alternative path to seismic torsional provisions", Soil Dyn. Earthq. Eng., 1(1), 3-10.
  53. Gasparini, G., Silvestri, S. and Trombetti, T. (2004), "A simplified approach to the analysis of torsional effects in eccentric systems: the alpha method", Proceedings of the 13th World Conference, Earthq. Eng.
  54. Gasparini, G., Silvestri, S. and Trombetti, T. (2008), "A simlpe code-like formula for estimating the torsional effects on structures subjected to earthquake ground motion excitation", Proceedings of the 14th World Conference, Earthq. Eng.
  55. Hernandez, J.J. and Lopez, O.A. (2000), "Influence of bidirectional seismic motion on the response of asymmetric buildings", Proceedings of the 12th World Conference, Earthq. Eng.
  56. Housner, G.W. and Outinen, H. (1958), "The effect of torsional oscillations on earthquake stresses", Bul. Seism. Soc. Amer., 48, 221-229.
  57. Kan, C.L. and Chopra, A.K. (1977), "Effects of torsional coupling on earthquake forces in buildings", J. Struct. Div., 103(4), 805-819.
  58. Kung, S.Y. and Pecknold, D.A. (1984), "Seismic response of torsionally coupled single-storey structures", Proceeding of the 8th World Conference, Earthq. Eng.
  59. Rady, M.A. and Hutchinson, G.L. (1988), "Evaluation of dynamic eccentricities obtained using a probabilistic approach, response spectrum methods and modern building codes", Earthq. Eng. Struct. Dyn., 16(2), 275-291. https://doi.org/10.1002/eqe.4290160209
  60. Rutenberg, A. and Pekau, O.A. (1987), "Seismic code provisions for asymmetric structures: A reevaluation", Eng. Struct., 9(4), 255-264. https://doi.org/10.1016/0141-0296(87)90024-1
  61. Rutenberg, A. and Pekau, O.A. (1989), "Seismic code provisions for asymmetric structures: Low period systems", Eng. Struct., 11(2), 92-96. https://doi.org/10.1016/0141-0296(89)90018-7
  62. Shakib, H. (2004), "Evaluation of dynamic eccentricity by considering soil-structure interaction: a proposal for seismic design codes", Soil Dyn. Earthq. Eng., 24, 369-378. https://doi.org/10.1016/j.soildyn.2004.01.003
  63. Sikaroudi, H. and Chandler, A.M. (1992), "Structure-foundation interaction in the earthquake response of torsionally asymmetric buildings", Soil Dyn. Earthq. Eng., 11(1), 1-16. https://doi.org/10.1016/0267-7261(92)90022-6
  64. Stathopoulos K.G. and Anagnostopoulos S.A. (1998), "Elastic and Inelastic Torsion in Buildings", Proceedings of the 11th European Conference, Earthq. Eng.
  65. Trombetti, T., Silvestri, S., Gasparini, G., Pintucchi, B. and De Stefano, M. (2008), "Numerical verification of the effectiveness of the "Alpha" method for the estimation of the maximum rotational elastic response of eccentric systems", J. Earthq. Eng., 12, 249-280. https://doi.org/10.1080/13632460701385374
  66. Trombetti, T., Palermo, M., Silvestri, S. and Gasparini, G. (2012), "Period shifting effect on the corner displacement magnification of one-storey asymmetric systems", Proceedings of the 15th World Conference, Earthq. Eng.
  67. Tsicnias, T.G. and Hutchinson, G.L. (1981), "Evaluation of code requirements for the earthquake resistant design of torsionally coupled buildings", Proceedings of the Inst. Civ. Eng., 71(2), 821-843. https://doi.org/10.1680/iicep.1981.1821
  68. Tsicnias, T.G. and Hutchinson, G.L. (1982), "Evaluation of code torsional provisions for earthquake resistant design of single storey buildings with two eccentricity components", Proceedings of the Inst. Civ. Eng., 73(2), 455-464. https://doi.org/10.1680/iicep.1982.1711
  69. Tsicnias, T.G. and Hutchinson, G.L. (1984), "Soil-structure interaction effects on the steady-state response of the torsionally coupled buildings", Earthq. Eng. Struct. Dyn., 12(2), 237-262. https://doi.org/10.1002/eqe.4290120208
  70. Tso, W.K. (1975), "Induced torsional oscillations in symmetrical structures", Earthq. Eng. Struct. Dyn., 3(4), 337-346. https://doi.org/10.1002/eqe.4290030404
  71. Tso, W.K. and Dempsey, K.M. (1980), "Seismic torsional provisions for dynamic eccentricity", Earthq. Eng. Struct. Dyn., 8(3), 275-289. https://doi.org/10.1002/eqe.4290080307
  72. Wu, W.H., Wang, J.F., Lin, C.C. (2001), "Systematic assessment of irregular building-soil interaction using efficient modal analysis", Earthq. Eng. Struct. Dyn., 30(4), 573-594. https://doi.org/10.1002/eqe.25
  73. Adachi, F., Yoshitomi, S., Masaaki, T. and Takewaki, I. (2011), "Enhanced reduced model for elastic earthquake response analysis of a class of mono-symmetric shear building structures with constant eccentricity", Soil. Dyn. Earthq. Eng., 31, 1040-1050. https://doi.org/10.1016/j.soildyn.2011.03.010
  74. Anagnostopoulos, S.A. (1981), "Response spectrum techniques for three component earthquake design", Earthq. Eng. Struct. Dyn., 9(5), 459-476. https://doi.org/10.1002/eqe.4290090505
  75. Athanatopoulou, A.M., Makarios, T. and Anastassiadis, K. (2006), "Earthquake analysis of isotropic asymmetric multistory buildings", Struct. Des. Tall Spec. Build., 15, 417-443. https://doi.org/10.1002/tal.304
  76. Basu, D. and Jain, S.K. (2007), "Alternative methods to locate centre of rigidity in asymmetric buildings", Earthq. Eng. Struct. Dyn., 36(7), 965-973. https://doi.org/10.1002/eqe.658
  77. Bosco, M., Marino, E. and Rossi, P.P. (2004), "Limits of application of simplified design procedures to nonregularly asymmetric buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  78. Bustamante, J.I. and Rosenblueth, E. (1960), "Buildng code provisions on torsional oscillation", Proceedings of the 2nd World Conference, Earthq. Eng., Japan.
  79. Cardona, R. and Esteva, L. (1977), "Static analysis of asymmetric multistory structures", Proceedings of the 6th World Conference, Earthq. Eng.
  80. Cheung, V.W.T. and Tso, W.K. (1986), "Eccentricity in irregular multistorey buildings", Can. J. Civ. Eng., 13(1), 46-52. https://doi.org/10.1139/l86-007
  81. Der Kiureghian, A. (1979), "On response of structures to stationary excitation", Earthq. Eng. Research Center, Univ., No. EERC 79-32, California, Berkeley.
  82. Georgoussis, G. (2009), "An alternative approach for assessing eccentricities in asymmetric multi-story buildings: 1. Elastic systems", Struct. Des. Tall Spec. Build., 18(2), 181-202. https://doi.org/10.1002/tal.401
  83. Georgoussis, G. (2010), "Modal rigidity center: it's use for assessing elastic torsion in asymmetric buildings", Earthq. Struct., 1(2),163-175. https://doi.org/10.12989/eas.2010.1.2.163
  84. Georgoussis, G. (2014), "Modified seismic analysis of multistory asymmetric elastic buildings and suggestions for minimizing the rotational response", Earthq. Struct., 7(1), 39-55. https://doi.org/10.12989/eas.2014.7.1.039
  85. Gluck, J., Reinhorn, A. and Rutenberg, A. (1979), "Dynamic torsional coupling in tall building structures", Proc. Inst. Civil Eng., 67(2), 411-424. https://doi.org/10.1680/iicep.1979.2465
  86. Goel, R.K. and Chopra, A.K. (1993), "Seismic code analysis of buildings without locating centers of rigidity", J. Struct. Eng., 119(10), 3039-3055. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:10(3039)
  87. Harasimowicz, A.P. and Goel, R.K. (1998), "Seismic code analysis of multi-storey asymmetric buildings", Earthq. Eng. Struct. Dyn., 27(2), 173-185. https://doi.org/10.1002/(SICI)1096-9845(199802)27:2<173::AID-EQE724>3.0.CO;2-W
  88. Hart, G.C., Di Julio, R.M., Jr. and Lew, M. (1975), "Torsional response of high-rise buildings", J. Struct. Div., 101(ST2), 397-416.
  89. Hejal, R. and Chopra, A.K. (1989a), "Earthquake response of torsionally coupled frame buildings", J. Struct. Eng., 115(4), 834-851. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(834)
  90. Hejal, R. and Chopra, A.K. (1989b), "Lateral -tosional coupling in earthquake response of frame buildings", J. Struct. Eng., 115(4), 852-867. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(852)
  91. Hejal, R. and Chopra, A.K. (1989c), "Earthquake analysis of a class of torsionally coupled buildings", Earthq. Eng. Struct. Dyn., 18(3), 305-323. https://doi.org/10.1002/eqe.4290180302
  92. Hejal, R. and Chopra, A.K. (1989d), "Response spectrum analysis of class of torsionally-coupled buildings", J. Eng. Mech., 115(8), 1761-1781. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1761)
  93. Hidalgo, P.A., Arias, A. and Cruz, E.F (1992), "A comparison of analysis provisions in seismic codes", Proceedings of the 10th World Conference, Earthq. Eng., 10, 5741-5746.
  94. Hutchinson, G.L., Chandler, A.M. and Rady, M.A. (1993), "Effect of vertical distribution of mass and translational stiffness on dynamic eccentricities for a special class of multi-storey buildings", Bul. New Zealand Nat. Soc. Earthq. Eng., 26(1), 42-48.
  95. Jiang, W., Hutchinson, G.L. and Chandler, A.M. (1993), "Definitions of static eccentricity for design of asymmetric shear buildings", Eng. Struct., 15(3), 167-178. https://doi.org/10.1016/0141-0296(93)90051-5
  96. Kan, C.L. and Chopra, A.K. (1977a), "Elastic earthquake analysis of a class of torsionally coupled buildings", J. Struct. Div., 103(4), 821-838.
  97. Kan, C.L. and Chopra, A.K. (1977b), "Elastic earthquake analysis of torsionally coupled multi-storey buildings", Earthq. Eng. Struct. Dyn., 5(4), 395-412. https://doi.org/10.1002/eqe.4290050406
  98. Kan, C.L. and Chopra, A.K. (1977c), "Earthquake response of a class of torsionally coupled buildings", 6th World Conference, Earthq. Eng., 1211-1216.
  99. Lam, N.T.K., Wilson, J.L. and Hutchinson, G.L. (1997), "Review of the torsional coupling of asymmetrical wall-frame buildings", Eng. Struct., 19(3), 233-246. https://doi.org/10.1016/S0141-0296(96)00059-4
  100. Lin, J.L. and Tsai, K.C. (2007a), "Simplified seismic analysis of asymmetric building systems", Earthq. Eng. Struct. Dyn., 36(4), 459-479. https://doi.org/10.1002/eqe.635
  101. Lin, J.L. and Tsai, K.C. (2008a), "Seismic analysis of two-way asymmetric building systems under bidirectional seismic ground motions", Earthq. Eng. Struct. Dyn., 37(2), 305-328. https://doi.org/10.1002/eqe.759
  102. Lin, J.L. and Tsai, K.C. (2009), "Modal parameters for the analysis of inelastic asymmetric-plan structures", Earthq. Spectra, 25(4), 305-328.
  103. Lin, J.L. and Tsai, K.C. (2011), "Estimation of the seismic energy demands of two-way asymmetric-plan buildings systems", Bul. Earthq. Eng., 9(2), 603-621. https://doi.org/10.1007/s10518-010-9214-6
  104. Lin, J.L., Tsai, K.C. and Chuang, M.C. (2012), "Understanding the trends in torsional effects in asymmetric-plan buildings", Bul. Earthq. Eng., 10, 955-965. https://doi.org/10.1007/s10518-012-9339-x
  105. Makarios, T. and Anastasiadis, K. (1998a), "Real and fictitious elastic axes of multi-storey buildings: theory", Struct. Des. Tall Build., 7(1), 33-55. https://doi.org/10.1002/(SICI)1099-1794(199803)7:1<33::AID-TAL95>3.0.CO;2-D
  106. Makarios, T. and Anastasiadis, K. (1998b), "Real and fictitious elastic axes of multi-storey buildings: applications", Struct. Des. Tall Build., 7(1), 57-71. https://doi.org/10.1002/(SICI)1099-1794(199803)7:1<57::AID-TAL96>3.0.CO;2-0
  107. Makarios, T. (2005), "Optimum torsion axis to multistorey buildings by using the continuous model of the structure", Struct. Des. Tall Build., 14, 69-90. https://doi.org/10.1002/tal.262
  108. Makarios, T. (2008), "Practical calculation of the torsional stiffness radius of multistorey buildings", Struct. Des. Tall Build., 17, 39-65. https://doi.org/10.1002/tal.316
  109. Marino, E.M. and Rossi, P.P. (2004), "Exact evaluation of the location of the optimum torsion axis", Struct. Des. Tall Build., 13(4), 277-290. https://doi.org/10.1002/tal.252
  110. Ozhendekci, N. and Polat, Z. (2008), "Torsional irregularity of buildings", Proceedings of the 14th World Conference, Earthq. Eng., Beijing.
  111. Rosenblueth, E. and Elorduy, J. (1969), "Responses of linear systems to certain transient disturbances", Proceedings of the 4th World Conference, Earthq. Eng.
  112. Rosenblueth, E. and Contreras, H. (1977), "Approximate design for multi-component earthquakes", J. Eng. Mech., 103, 881-893.
  113. Rutenberg, A., Hsu, T.I. and Tso, W.K. (1978), "Response spectrum techniques for asymmetric buildings", Earthq. Eng. Struct. Dyn., 6(5), 427-435. https://doi.org/10.1002/eqe.4290060502
  114. Shiga, T. (1965), "Torsional vibration of multi-storied buildings", Proceedings of the 3rd World Conference, Earthq. Eng., 2, 569-584.
  115. Tso, W.K. (1990), "Static eccentricity concept for torsional moment estimations", J. Struct. Div., 116(5), 1199-1212. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1199)
  116. Wang, J.F., Lin, C.C., Lin, G.L. and Yang, C.H. (2013), "Story damage identification of irregular buildings based on earthquake records", Earthq. Spectra, 29(3).
  117. Wittrick, W.H. and Horsington, R.W. (1979), "On the coupled torsional and sway vibrations of a class of shear buildings", Earthq. Eng. Struct. Dyn., 7(5), 477-490. https://doi.org/10.1002/eqe.4290070507
  118. Yoon, Y.S. and Smith, B.S. (1995), "Assessment of translational-torsional coupling in asymmetric uniform wall-frame structures", J. Struct. Eng., 121(10), 1488-1496. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1488)
  119. Zarate, G. and Ayala, A.G. (2004), "Validation of single storey models for the evaluation of the seismic performance of multi-storey asymmetric buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  120. Annigeri, S., Mittal, A.K. and Jain, A.K. (1996), "Uncoupled frequency ratio in asymmetric buildings", Earthq. Eng. Struct. Dyn., 25(8), 871-881. https://doi.org/10.1002/(SICI)1096-9845(199608)25:8<871::AID-EQE593>3.0.CO;2-3
  121. Bensalah, M.D., Bensaibi, M. and Modaressi, A. (2012), "Assessment of the torsional effect in asymmetric buildings under seismic load", Proceedings of the 15th World Conference, Earthq. Eng.
  122. Bozorgnia, Y. and Tso, W.K. (1986), "Inelastic earthquake response of asymmetric structures", J. Struct. Div., 112(2), 383-400. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:2(383)
  123. Bruneau, M. and Mahin, S.A. (1988), "Prediction of the inelastic response of torsionally coupled systems subjected to earthquake excitation", Proceedings of the 9th World Conference, Earthq. Eng., Association for earthquake disaster prevention, Japan.
  124. Bruneau, M. and Mahin, S.A. (1990), "Normalizing inelastic seismic response of structures having eccentricities in plan", J. Struct. Eng., 116(12), 3358-3379. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:12(3358)
  125. Bruneau, M. (1992), "A proposed simple model for the study of seismic inelastic torsional coupling", Proceedings of the 10th World Conference, Earthq. Eng., 7, 3875-80.
  126. Bugeja, M.N., Thambiratnam, D.P. and Brameld, G.H. (1999), "The influence of stiffness and strength eccentricities on the inelastic earthquake response of asymmetric structures", Eng. Struct., 21, 856-863. https://doi.org/10.1016/S0141-0296(98)00035-2
  127. Chandler, A.M. and Duan, X.N. (1990), "Inelastic torsional behaviour of asymmetric buildings under severe earthquake shaking", Struct. Eng. Review, 2, 141-159.
  128. Chandler, A.M. and Duan, X.N. (1991), "Evaluation of factors influencing the inelastic seismic performance of torsionally asymmetric buildings", Earthq. Eng. Struct. Dyn., 20, 87-95. https://doi.org/10.1002/eqe.4290200107
  129. Chandler, A.M., Hutchinson, G.L. and Jiang, W. (1991), "Inelastic torsional response of buildings to the 1985 Mexican earthquake: a parametric study", Soil Dyn. Earthq. Eng., 10(8), 429-439. https://doi.org/10.1016/0267-7261(91)90058-8
  130. Chandler, A.M., Correnza, J.C. and Hutchinson, G.L. (1994), "Period-dependent effects in seismic torsional response of code systems", J. Struct. Div., 120(12), 3418-3434. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:12(3418)
  131. Chandler, A.M., Correnza, J.C. and Hutchinson, G.L. (1995), "Influence of accidental eccentricity on inelastic seismic torsional effects in buildings", Eng. Struct., 17(3), 167-178. https://doi.org/10.1016/0141-0296(94)00003-C
  132. Chandler, A.M., Correnza, J.C. and Hutchinson, G.L. (1996), "Seismic torsional provisions: Influence on element energy dissipation", J. Struct. Eng., 122(5), 494-500. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:5(494)
  133. Chandler, A.M. and Duan, X.N. (1997), "Performance of asymmetric code-designed buildings for serviceability and ultimate limit states", Earthq. Eng. Struct. Dyn., 26(7), 717-735. https://doi.org/10.1002/(SICI)1096-9845(199707)26:7<717::AID-EQE672>3.0.CO;2-X
  134. Correnza, J.C., Hutchinson, G.L. and Chandler, A.M. (1994), "Effect of transverse load-resisting elements on inelastic earthquake response of eccentric-plan buildings", Earthq. Eng. Struct. Dyn., 23(1), 75-90. https://doi.org/10.1002/eqe.4290230107
  135. Correnza, J.C., Hutchinson, G.L. and Chandler, A.M. (1995), "Seismic response of flexible-edge elements in code-designed torsionally unbalanced structures", Eng. Struct., 17(3), 158-166. https://doi.org/10.1016/0141-0296(94)00001-A
  136. De Stefano, M. and Rutenberg, A. (1996), "Seismic instability and the force reduction factor of yielding structures", Proceedings of the 11th World Conference, Earthq. Eng.
  137. De Stefano, M. and Rutenberg, A. (1997), "A comparison of the present SEAOC/UBC torsional provisions with the old ones", Eng. Struct., 19(8), 655-664. https://doi.org/10.1016/S0141-0296(96)00142-3
  138. Escobar, J.A. (1996), "Seismic torsion in non-linear nominally symmetric structures due to random properties", 11st World Conference on Earthquake Engineering, Acapulco Gro., Mexico.
  139. Escobar, J.A. and Ayala, A.G. (1998), "Yielding seismic response of code-designed single storey asymmentric structures", Earthq. Eng. Struct. Dyn., 27(6), 525-541. https://doi.org/10.1002/(SICI)1096-9845(199806)27:6<525::AID-EQE731>3.0.CO;2-B
  140. Ghersi, A. and Rossi, P.P. (2000), "Formulation of design eccentricity to reduce ductility demand in asymmetric buildings", Eng. Struct., 22, 857-871. https://doi.org/10.1016/S0141-0296(98)00064-9
  141. Goel, R.K. and Chopra, A.K. (1990), "Inelastic seismic response of one-story, asymmetric-plan systems: effects of stiffness and strength distribution", Earthq. Eng. Struct. Dyn., 19(7), 949-970. https://doi.org/10.1002/eqe.4290190703
  142. Irvine, H.M. and Kountouris, G.E. (1980), "Peak ductility demands in simple torsionally unbalanced buildings. Models subjected to earthquake excitation", Proceedings of the 7th World Conference, Earthq. Eng., Istanbul, Turkey.
  143. Kan, C.L. and Chopra, A.K. (1981a), "Simple model for earthquake response studies of torsionally coupled buildings", J. Eng. Mech., 107(5), 935-951.
  144. Kan, C.L. and Chopra, A.K. (1981b), "Torsional coupling and earthquake response of simple elastic and inelastic systems", J. Struct. Div., 107(8), 1569-1588.
  145. Mittal, A.K. and Jain, A.K. (1995), "Effective strength eccentricity concept for inelastic analysis of asymmetric structures", Earthq. Eng. Struct. Dyn., 24, 69-84. https://doi.org/10.1002/eqe.4290240106
  146. Moghadam, A.S. and Tso, W.K. (2000), "Extension of Eurocode 8 torsional provisions to multi-storey buildings", J. Earthq. Eng., 4(1), 25-41. https://doi.org/10.1080/13632460009350361
  147. Muslimaj, B. and Tso, W.K. (2001), "A strength distribution criterion for minimizing torsonal response of asymmetric wall-type systems", Earthq. Eng. Struct. Dyn., 31(1), 99-120. https://doi.org/10.1002/eqe.100
  148. Rutenberg, A., Benbenishti, A. and Pekau, O. (1992a), "Nonlinear seismic behaviour of code-designed eccentric systems", Proceedings of the 10th World Conference, Earthq. Eng.
  149. Rutenberg, A., Eisenberger, M. and Shohet, G. (1992b), "Inelastic seismic response of code designed single storey asymmetric structures", Eng. Struct., 14(2), 91-102. https://doi.org/10.1016/0141-0296(92)90035-O
  150. Tso, W.K. and Sadek, A.W. (1985), "Inelastic seismic response of simple eccentric strucrures", Earthq. Eng. Struct. Dyn., 13(2), 255-269. https://doi.org/10.1002/eqe.4290130209
  151. Tso, W.K. and Ying, H. (1990), "Additional seismic inelastic deformation caused by structural asymmetry", Earthq. Eng. Struct. Dyn., 19(2), 243-258. https://doi.org/10.1002/eqe.4290190208
  152. Tso, W.K. and Ying, H. (1992), "Lateral strength distribution specification to limit additional inelastic deformation of torsionally unbalanced structures", Eng. Struct., 14(4), 263-277. https://doi.org/10.1016/0141-0296(92)90014-H
  153. Tso, W.K. and Bozorgnia, Y. (1986), "Effective eccentricity for inelastic seismic response of buildings", Earthq. Eng. Struct. Dyn., 14(3), 413-427. https://doi.org/10.1002/eqe.4290140308
  154. Tso, W.K. and Zhu, T.J. (1992a), "Strength distribution for torsionally unbalanced structures", Proceedings of the 10th World Conference, Earthq. Eng., 7, 3865-3868.
  155. Tso, W.K. and Zhu, T.J. (1992b), "Design of torsionally unbalanced structural systems based on code provisions I: Ductility demand", Earthq. Eng. Struct. Dyn., 21(7), 609-627. https://doi.org/10.1002/eqe.4290210704
  156. Chandler, A.M. and Hutchinson, G.L. (1992), "Effect of structural period and ground motion parameters on the earthquake response of asymmetric buildings", Eng. Struct., 14(6), 354-360. https://doi.org/10.1016/0141-0296(92)90018-L
  157. Chandler, A.M. and Duan, X.N. (1994), "On the performance of inelastically responding asymmetric structures designed by the modal response spectrum method of NZS 4203:1992", Bul. NZ. Natl. Soc. Earthq. Eng., 27(2), 96-106.
  158. Chopra, A.K. and Goel, R.K. (1991), "Evaluation of torsional provisions in seismic codes", J. Struct. Div., 117(12), 3762-3782. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:12(3762)
  159. De Stefano, M., Faella, G. and Ramasco, R. (1992), "Inelastic spectra for eccentric systems", Proceedings of the 10th World Conference, Earthq. Eng.
  160. De Stefano, M., Faella, G. and Ramasco, R. (1993), "Inelastic response and design criteria of plan-wise asymmetric system", Earthq. Eng. Struct. Dyn., 22(3), 245-259. https://doi.org/10.1002/eqe.4290220306
  161. Goel, R.K. and Chopra, A.K. (1990), "Inelastic seismic response of one-story, asymmetric-plan systems: Effects of stiffness and strength distribution", Earthq. Eng. Struct. Dyn., 19(7), 949-970. https://doi.org/10.1002/eqe.4290190703
  162. Goel, R.K. and Chopra, A.K. (1991a), "Effects of plan asymmetry in the inelastic seismic response of onestory systems", J. Struct. Eng., 117(5), 1492-1513. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:5(1492)
  163. Goel, R.K. and Chopra, A.K. (1991b), "Inelastic seismic response of one-storey, asymmetric-plan systems: Effects of system parameters and yielding", Earthq. Eng. Struct. Dyn., 20(3), 201-222. https://doi.org/10.1002/eqe.4290200302
  164. Goel, R.K. and Chopra, A.K. (1992), "Evaluation of seismic code provisions for asymmetric-plan systems", Proceedings of the 10th World Conference, Earthq. Eng., Madrid, Spain.
  165. Goel, R.K. and Chopra, A.K. (1994), "Dual-level approach for seismic design of asymmetric-plan buildings", J. Struct. Div., 120(1), 161-179. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:1(161)
  166. Humar, J.M. and Fazileh, F. (2010), "Discussion of "Seismic behavior of single-story asymmetric-plan buildings under uniaxial excitation", (Eds.) A. Lucchini, G. Monti and S. Kunnath", Earthq. Eng. Struct. Dyn., 39, 705-708.
  167. Humar, J. and Kumar, P. (2000), "A new Look at the Torsion Design Provisions in Seismic Building Codes", Proceedings of the 12th World Conference on Earthquake Engineering.
  168. Humar, J. and Kumar, P. (2004), "Review of code provisions to account for earthquake induced torsion", Proceedings of the 13th World Conference, Earthquake Engineering.
  169. Jiang, W., Hutchinson, G.L. and Wilson, J.L. (1996), "Inelastic torsional coupling of building models", Eng. Struct, 18(4), 228-300.
  170. Lin, J.L. and Tsai, K.C. (2009), "Modal parameters for the analysis of inelastic asymmetric-plan structures", Earthq. Spectra, 25(4), 821-849. https://doi.org/10.1193/1.3238566
  171. Lucchini, A., Monti, G. and Kunnath, S. (2009), "Seismic behavior of single-story asymmetric-plan buildings under uniaxial excitation", Earthq. Eng. Struct. Dyn., 38, 1053-1070. https://doi.org/10.1002/eqe.881
  172. Lucchini, A., Monti, G. and Kunnath, S. (2010), Authors' reply-Discussion by Humar and Fazileh of "Seismic behavior of single-story asymmetric-plan buildings under uniaxial excitation", Earthq. Eng. Struct. Dyn., 39, 941-944-1070.
  173. Muslimaj, B. and Tso, W.K. (2004), "Desirable strength distribution for asymmetric structures with strength-stiffeness dependent elements", J. Earthq. Eng., 8(2), 231-248. https://doi.org/10.1080/13632460409350488
  174. Pekau, O.A. and Syamal, P.K. (1985), "Torsional instability in hysteretic structures", J. Eng. Mech., 111(4), 512-528. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:4(512)
  175. Pettinga, J.D., Priestley, M.J.N., Pampanin, S. and Christopoulos, C. (2007), "The role of inelastic torsion in the determination of residual deformations", J. Earthq. Eng., 11, 133-157.
  176. Rossi, P.P. (2000). "Ductility and energy dissipation demands of asymmetric buildings", Proceedings of the 12th World Conference, Earthq. Eng.
  177. Sadek, A.W., Sobaih, M.E. and Esmail, H.S. (1992), "Approximate seismic analysis of inelastic asymmetric structures", Eng. Struct., 14(1), 49-63. https://doi.org/10.1016/0141-0296(92)90007-D
  178. Syamal, P.K. and Pekau, O.A. (1985), "Dynamic response of bilinear asymmetric structures", Earthq. Eng. Struct. Dyn., 13(4), 527-541. https://doi.org/10.1002/eqe.4290130407
  179. Zhu, T.J. and Tso, W.K. (1992), "Design of torsionally unbalanced structural systems based on code provisions II: Strength distribution", Earthq. Eng. Struct. Dyn., 21, 629-644. https://doi.org/10.1002/eqe.4290210705
  180. Bosco, M., Ghersi, A. and Marino, E.M. (2012), "Corrective eccentricities for assessment by the nonlinear static method of 3D structures subjected to bidirectional ground motions", Earthq. Eng. Struct. Dyn., 41(13), 1751-1773. https://doi.org/10.1002/eqe.2155
  181. Correnza, J.C., Hutchinson, G.L. and Chandler, A.M. (1994), "Effect of transverse load-resisting elements on inelastic earthquake response of eccentric-plan buildings", Earthq. Eng. Struct. Dyn., 23(1), 75-90. https://doi.org/10.1002/eqe.4290230107
  182. De La Colina, J. (1999), "Effects of torsion factors on simple non-linear systems using fully-bidirectional analyses", Earthq. Eng. Struct. Dyn., 28, 691-706. https://doi.org/10.1002/(SICI)1096-9845(199907)28:7<691::AID-EQE834>3.0.CO;2-U
  183. De La Llera, J.C. and Chopra, A.K. (1995), "Understanding the inelastic seismic behaviour of asymmetricplan buildings", Earthq. Eng. Struct. Dyn., 24(4), 549-572. https://doi.org/10.1002/eqe.4290240407
  184. De Stefano, M. and Rutenberg, A. (1999), "Seismic stability and the force reduction factor of code-designed one-storey asymmetric structures", Earthq. Eng. Struct. Dyn., 28, 785-803. https://doi.org/10.1002/(SICI)1096-9845(199907)28:7<785::AID-EQE842>3.0.CO;2-L
  185. De Stefano, M., Faella, G. and Ramasco, R. (1998), "Inelastic seismic response of one-way plan-asymmetric systems under bi-directional ground motions", Earthq. Eng. Struct. Dyn., 27(4), 363-376. https://doi.org/10.1002/(SICI)1096-9845(199804)27:4<363::AID-EQE728>3.0.CO;2-7
  186. De Stefano, M. and Pintucchi, B. (2004), "Seismic analysis of eccentric building structures by meansof a refined one storey model", Proceedings of the 13th World Conference, Earthq. Eng., Vancouver, Canada.
  187. De Stefano, M. and Pintucchi, B. (2010), "Predicting torsion-induced lateral displacements for pushover analysis: Influence of torsional system characteristics", Earthq. Eng. Struct. Dyn., 39(12), 1369-1394. https://doi.org/10.1002/eqe.1002
  188. Dusicka, P., Davidson, B.J. and Ventura, C.E. (2000), "Investigation into the significance of strength characteristics in inelastic torsional seismic response", Proceedings of the 12th World Conference, Earthq. Eng.
  189. Dutta, S.C. and Das, P.K. (2002), "Inelastic seismic response of code-designed reinforced concrete asymmetric buildings with strength degradation", Eng. Struct., 24, 1295-1314. https://doi.org/10.1016/S0141-0296(02)00062-7
  190. Dutta, S.C., Das, P.K. and Roy, R. (2005), "Seismic behavior of code-designed bidirectionally eccentric systems", J. Struct. Eng., 131(10), 1497-1514. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1497)
  191. Ghersi, A. and Rossi, P.P. (2001), "Influence of bi-directional ground motions on the inelastic response of one-story in-plan irregular systems", Eng. Struct., 23, 579-591. https://doi.org/10.1016/S0141-0296(00)00088-2
  192. Goel, R. (1997), "Seismic response of asymmetric systems: Energy-based approach", J. Struct. Eng., 123(11), 1444-1453. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:11(1444)
  193. Humar, J.L. and Kumar, P. (1999), "Effect of orthogonal inplane structural elements on inelastic torsional response", Earthq. Eng. Struct. Dyn., 28, 1071-1097. https://doi.org/10.1002/(SICI)1096-9845(199910)28:10<1071::AID-EQE855>3.0.CO;2-V
  194. Riddell, R. and Santa-Maria, H. (1999), "Inelastic response of one-story asymmetric-plan systems subjected to bi-directional earthquake motions", Earthq. Eng. Struct. Dyn., 28, 273-285. https://doi.org/10.1002/(SICI)1096-9845(199903)28:3<273::AID-EQE816>3.0.CO;2-D
  195. Sadek, A.W. and Tso, W.K. (1988), "Strength eccentricity concept for inelastic analysis of asymmetric structures", Proceedings of the 9th World Conference, Earthq. Eng.
  196. Sadek, A.W. and Tso, W.K. (1989), "Strength eccentricity concept for inelastic analysis of asymmetrical structures", Eng. Struct., 11, 189-194. https://doi.org/10.1016/0141-0296(89)90006-0
  197. Stathopoulos, K.G. and Anagnostopoulos, S.A. (1998), "Elastic and inelastic torsion in buildings", Proceedings of the 11th European Conference, Earthq. Eng.
  198. Tso, W.K. and Sadek, A.W. (1984), "Inelastic response of eccentric buildings subjected to bi-directional ground motions", Proceedings of the 8th World Conference, Earthq. Eng.
  199. Tso, W.K. and Wong, C.M. (1993), "An evaluation of the New Zealand code torsional provision", Bul. NZ Natl. Soc. Earthq. Eng., 26(2), 194-207.
  200. Tso, W.K. and Wong, C.M. (1995a), "Eurocode 8 seismic torsional provisions evaluation", Europ. Earthq. Eng., IX(1), 23-33.
  201. Tso, W.K. and Wong, C.M. (1995b), "Seismic displacements of torsionally unbalanced buildings", Earthq. Eng. Struct. Dyn., 24, 1371-1387. https://doi.org/10.1002/eqe.4290241007
  202. Tso, W.K. and Smith, R.S. (1999), "Re-evaluation of seismic torsional provisions", Earthq. Eng. Struct. Dyn., 28, 899- 917. https://doi.org/10.1002/(SICI)1096-9845(199908)28:8<899::AID-EQE846>3.0.CO;2-Q
  203. Wong, C.M. and Tso, W.K. (1994), "Inelastic seismic response of torsionally unbalanced systems designed using elastic dynamic analysis", Earthq. Eng. Struct. Dyn., 23(7), 777-798. https://doi.org/10.1002/eqe.4290230707
  204. Wong, C.M. and Tso, W.K. (1995), "Evaluation of seismic torsional provisions in uniform building code", J. Struct. Eng., 121(10), 1436-1442. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1436)
  205. Ayala, A.G., Garcia, O. and Escobar, J.A. (1992), "Evaluation of seismic design criteria for asymmetric buildings", Proceedings of the 10th World Conference, Earthq. Eng.
  206. Aziminejad, A. and Moghadam, A.S. (2012), "Performance of two directional asymmetric buildings in farfield and nearfield earthquakes", Proceedings of the 15th World Conference, Earthq. Eng.
  207. Dutta, S.C., Das, P.K. and Roy, R. (2005), "Seismic behavior of code-designed bidirectionally eccentric systems", J. Struct. Eng., 131(10), 1497-1514. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1497)
  208. Ghersi, A. and Rossi, P.P. (2006), "Influence of design procedures on the seismic response of bi-eccentric plan-asymmetric systems", Struct. Des. Tall Build., 15, 467-480. https://doi.org/10.1002/tal.307
  209. Goel, R. (1997), "Seismic response of asymmetric systems: Energy-based approach", J. Struct. Eng., 123(11), 1444-1453. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:11(1444)
  210. Lucchini, A., Monti, G. and Kunnath, S. (2011), "Nonlinear response of two-way asymmetric single-strory building under biaxial excitation", J. Struct. Eng., 137(1), 34-40. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000266
  211. Perus, I. and Fajfar, P. (2005), "On the inelastic torsional response of single-storey structures under bi-axial excitation", Earthq. Eng. Struct. Dyn., 34(8), 931-941. https://doi.org/10.1002/eqe.462
  212. Prasad, B.K. and Jagadish, K.S. (1989), "Inelastic torsional response of a single-story framed structure", J. Eng. Mech., 115(8), 1782-1797. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1782)
  213. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2000), "Inelastic earthquake response of buildings subjected to torsion", Proceedings of the 12th World Conference, Earthq. Eng.
  214. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2003), "Inelastic earthquake response of single-story asymmetric buildings: an assessment of simplified shear-beam models", Earthq. Eng. Struct. Dyn., 32, 1813-1831. https://doi.org/10.1002/eqe.302
  215. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2007), "Inelastic seismic response of asymmetric one-story steel buildings", ECCOMAS Thematic Conference Composition Methods Struct. Dyn. Earthq. Eng., Rethymno, Crete. Greece
  216. Anagnostopoulos, S.A. (1972), "Non-linear dynamic respom nse and ductility requirements of building structures subjected to earthquakes", Rep. No. R72-54, Massachusetts Inst. Tech., Civ. Eng. Dept.
  217. Anagnostopoulos, S.A., Roesset, J.M. and Biggs, J.M. (1973), "Non-linear dynamic analysis of buildings with torsional effects", Proceedings of the 5th World Conference, Earthq. Eng.
  218. Anagnostopoulos, S.A. and Roesset, J.M. (1973), "Ductility requirements for some nonlinear systems subjected to earthquakes", Proceedings of the 5th World Conference, Earthq. Eng.
  219. Chandler, A.M. and Duan, X.N. (1993), "A modified static procedure for the design of torsionally unbalanced multi- storey frame buildings", Earthq. Eng. Struct. Dyn., 22(5), 447-462. https://doi.org/10.1002/eqe.4290220507
  220. De La Colina, J. (2003), "Assessment of design recommedations for torsionally unbalanced multistory buildings", Earthq. Spectra, 19(1), 47-66. https://doi.org/10.1193/1.1540998
  221. De La Llera, J.C. and Chopra, A.K. (1995), "A simplified model for analysis and design of asymmetric-plan buildings", Earthq. Eng. Struct. Dyn., 24(4), 573-594. https://doi.org/10.1002/eqe.4290240408
  222. De La Llera, J.C. and Chopra, A.K. (1996), "Inelastic behaviour of asymmetric multistory buildings", J. Struct. Eng., 122(6), 597-606. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(597)
  223. Duan, X.N. and Chandler, A.M. (1993), "Inelastic seismic response of code-designed multi-storey frame buildings with regular asymmetry", Earthq. Eng. Struct. Dyn., 22(5), 431-445. https://doi.org/10.1002/eqe.4290220506
  224. Duan, X.N. and Chandler, A.M. (1995), "Seismic torsional response and design procedures for a class of setback frame buildings", Earthq. Eng. Struct. Dyn., 24(5), 761-778. https://doi.org/10.1002/eqe.4290240511
  225. Dutta, S.C. and Roy, R. (2012), "Seismic demand of low-rise multistory systems with general asymmetry", J. Eng. Mech., 138(1), 1-11. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000303
  226. Kosmopoulos, A.J. and Fardis, M.N. (2008), "Simple models for inelastic seismic analysis of asymmetric multistory RC buildings", J. Earthq. Eng., 12, 704-727. https://doi.org/10.1080/13632460701673126
  227. Tso, W.K. and Moghadam, A.S. (1998), "Application of Eurocode 8 torsional provisions to multi-storey buildings", Proceedings of the 11th European Conference, Earthq. Eng.
  228. Aldeka, A.B., Chan, A.H.C. and Dirar, S. (2014) "Response of non-structural components mounted on irregular RC buildings: comparison between FE and EC8 predictions", Earthq. Struct., 6(4), 351-373. https://doi.org/10.12989/eas.2014.6.4.351
  229. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K.G. (2008), "Are results for inelastic torsion in buildings based on simplified, one-storey, shear beam models, applicable to actual multistory buildings?", Invited paper, Proceedings of the 5th European Workshop on the Seismic behaviour of irregular and complex structures, Catania, Italy.
  230. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K.G. (2009), "An answer to a persisting controversy in earthquake resistant design of asymmetric buildings for torsion", Invited keynote paper, Proceedings of the COMPDYN 2009, Rhodos, Greece.
  231. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K. (2010) "An answer to an important controversy and the need for caution when using simple models to predict inelastic earthquake response of buildings with torsion", Earthq. Eng. Struct. Dyn., 39, 521-540.
  232. Boroschek, R.L. and Mahin, S.A. (1992), "Investigation of coupled lateral-torsional response in multistorey buildings", Proceedings of the 10th World Conference, Earthq. Eng.
  233. Cruz, E.F. and Cominetti, S. (1992), "Nonlinear response of buildings, a parametric study", Proceedings of the 10th World Conference, Earthq. Eng., 7, 3663-6.
  234. Fernandez Davila, V.I. and Cruz, E.F. (2008), "Estimating inelastic bi-directional seismic response of multistory asymmetric buildings using a set of combination rules", Proceedings of the 14th World Conference, Earthq. Eng.
  235. De Stefano, M., Faella, G. and Realfonzo, R. (1995), "Seismic response of 3D RC frames: Effects of plan irregularity", European Seismic Design Practice, Eds. Elnasai, Rottedam, Balkema, 219-226.
  236. De Stefano, M., Marino, E.M. and Rossi, P.P. (2006), "Effect of overstrength on the seismic behaviour of multi-storey regularly asymmetric buildings", Bul. Earthq. Eng., 4, 23-42. https://doi.org/10.1007/s10518-005-5408-8
  237. Erduran, E. and Ryan, K.L. (2011), "Effects of torsion on the behavior of peripheral steel-braced frame systems", Earthq. Eng. Struct. Dyn., 40(5), 491-507. https://doi.org/10.1002/eqe.1032
  238. Fajfar, P., Marusic, D. and Perus, I. (2004), "Influence of ground motion intensity on the inelastic torsional response of asymmetric buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  239. Garcia, O., Islas, A. and Ayala, A.G. (2004), "Effect of the in-plan distribution of strength on the non-linear seismic response of torsionally coupled buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  240. Ghersi, A., Marino, E. and Rossi, P.P. (2000), "Inelastic response of multi-storey asymmetric buildings", Proceedings of the 12th World Conference, Earthq. Eng.
  241. Ghersi, A., Marino, E.M. and Rossi, P.P. (2007), "Static versus modal analysis: influence on inelastic response of multi- storey asymmetric buildings", Bul. Earthq. Eng., 5, 511-532. https://doi.org/10.1007/s10518-007-9046-1
  242. Karimiyan, S. Moghadam, A.S. and Vetr, M.G. (2013), "Seismic progressive collapse assessment of 3-story RC moment resisting buildings with different levels of eccentricity in plan", Earthq. Struct., 5(3), 277-296. https://doi.org/10.12989/eas.2013.5.3.277
  243. Karimiyan, S., Moghadam, A.S., Karimiyan, M. and Kashan, A.H. (2013), "Seismic collapse propagation in 6-story RC regular and irregular buildings", Earthq. Struct., 5(6), 753-779. https://doi.org/10.12989/eas.2013.5.6.753
  244. Karimiyan, S., Kashan, A.H. and Karimiyan, M. (2014), "Progressive collapse vulnerability in 6-Story RC symmetric and asymmetric buildings under earthquake loads", Earthq. Struct., 6(5), 473-494. https://doi.org/10.12989/eas.2014.6.5.473
  245. Kosmopoulos, A.J. and Fardis, M.N. (2007), "Estimation of inelastic seismic deformations in asymmetric multistorey RC buildings", Earthq. Eng. Struct. Dyn., 36(9), 1209-1234. https://doi.org/10.1002/eqe.678
  246. Kyrkos, M.T. and Anagnostopoulos, S.A. (2011a), "An assessment of code designed, torsionally stiff, asymmetric steel buildings under strong eathgquake excitations", Earthq. Struct., 2(2),109-126. https://doi.org/10.12989/eas.2011.2.2.109
  247. Kyrkos, M.T. and Anagnostopoulos, S.A. (2011b), "Improved earthquake resistant design of torsionally stiff asymmetric steel buildings", Earthq. Struct., 2(2), 127-147. https://doi.org/10.12989/eas.2011.2.2.127
  248. Kyrkos, M.T. and Anagnostopoulos, S.A. (2011c) "Improved earthquake resistant design of irregular steel buildings", Proceedings of the 6th European Workshop on the seismic behavior of irregular and complex structures, Haifa, Israel.
  249. Kyrkos, M.T. and Anagnostopoulos, S.A. (2012a) "Earthquake resistant design of eccentric, braced frame, steel buildings for improved inelastic response", Proceedings of the STESSA 2012 (Behavior of steel structures in seismic areas), Santiago, Chile.
  250. Kyrkos, M.T. and Anagnostopoulos, S.A. (2012b), "Assessment of earthquake resistant design of eccentric, braced frame, steel buildings and proposal for possible improvements", Proceedings of the 15th World Conference, Earthq. Eng.
  251. Kyrkos, M.T. and Anagnostopoulos, S.A. (2013a), "Improved earthquake resistant design of eccentric steel buildings", Soil Dyn. Earthq. Eng., 47, 144-156. https://doi.org/10.1016/j.soildyn.2012.07.011
  252. Kyrkos, M.T. and Anagnostopoulos, S.A. (2013b) "Eccentric steel buildings designed for uniform ductility demands under earthquake actions", Proceedings of the COMPDYN-13, Kos Island, Greece.
  253. Marusic, D. and Fajfar, P. (2005), "On the inelastic sesimic response of asymmetric buildings under bi-axial excitation", Earthq. Eng. Struct. Dyn., 34(8), 943-963. https://doi.org/10.1002/eqe.463
  254. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2000), "Inelastic earthquake response of buildings subjected to torsion", Proceedings of the 12th World Conference, Earthq. Eng.
  255. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2002), "Inelastic earthquake induced torsion in buildings: results and conclusions from realistic models", Proceedings of the 12th European Conference, Earthq. Eng., London.
  256. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2004), "Earthquake induced inelastic torsion in asymmetric multistory buildings", Proceedings of the 13th World Conference, Earthq. Eng., Vancouver.
  257. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2005a), "Inelastic torsion of multistorey buildings under earthquake excitations", Earthq. Eng. Struct. Dyn., 34(12), 1449-1465. https://doi.org/10.1002/eqe.486
  258. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2005b), "Effects of accidental design eccentricity on the inelastic earthquake response of asymmetric buildings", Proceedings of the 4th European Workshop on the Seismic Behaviour of Irregular and Complex Sructures, Thessaloniki, Greece.
  259. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2006), "Importance of accidental design eccentricity for the inelastic earthquake response of buildings", Proceedings of the 13th European Conference, Earthq. Eng.
  260. Stathopoulos, K.G. and Anagnostopoulos, S.A.(2007), "Inelastic seismic response of asymmetric one-story steel buildings", Proceedings of the Compdyn 2007, Eccomas Thematic Conference on Composition, Meth. Struct. Dyn. Earthq. Eng., Rethymno, Greece.
  261. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2010) "Accidental design eccentricity: Is it important for the inelastic response of buildings to strong earthquakes?", Soil Dyn. Earthq. Eng., 30, 782-797. https://doi.org/10.1016/j.soildyn.2009.12.018
  262. Tremblay, R. and Poncet, L. (2006), "Seismic performance of concentrically braced steel frames in multistory buildings with mass irregularity", J. Struct. Eng., 131(9), 1363-1375.
  263. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K.G. (2008), "Are results for inelastic torsion in buildings based on simplified, one-storey, shear beam models, applicable to actual multistory buildings?", Proceedings of the 5th European Workshop on the Seismic behaviour of irregular and complex structures, Catania, Italy.
  264. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K.G. (2009), "An answer to a persisting controversy in earthquake resistant design of asymmetric buildings for torsion", Proceedings of the Compdyn 2009, Rhodos, Greece.
  265. Anagnostopoulos, S.A., Alexopoulou, C. and Stathopoulos, K. (2010) "An answer to an important controversy and the need for caution when using simple models to predict inelastic earthquake response of buildings with torsion", Earthq. Eng. Struct. Dyn., 39, 521-540.
  266. Ghersi, A., Marino, E. and Rossi, P.P. (1999), "From one-story to multi-story systems: conceptual differences and problems", Proceedings of the 2nd European Workshop Seismic Behaviour of Asymmetric and Setback Structures, Instabul, Turkey.
  267. Muslimaj, B. and Tso, W.K. (2001), "A strength distribution criterion for minimizing torsonal response of asymmetric wall-type systems", Earthq. Eng. Struct. Dyn., 31(1), 99-120. https://doi.org/10.1002/eqe.100
  268. Tso, W.K. and Muslimaj, B. (2003), "A yield displacement distribution-based approach for strength assignment to lateral force resisting elements having strength dependent stiffness", Earthq. Eng. Struct. Dyn., 32(15), 2319-2351. https://doi.org/10.1002/eqe.328
  269. Aviles, J. and Suarez, M. (2006), "Natural and accidental torsion in one-storey structures on elastic foundation under non-vertically incident SH-waves", Earthq. Eng. Struct. Dyn., 35(7), 829-850. https://doi.org/10.1002/eqe.558
  270. Chandler, A.M., Correnza, J.C. and Hutchinson, G.L. (1995), "Influence of accidental eccentricity on inelastic seismic torsional effects in buildings", Eng. Struct., 17(3), 167-178. https://doi.org/10.1016/0141-0296(94)00003-C
  271. Chopra, A.K. and De La Llera, J.C. (1996), "Accidental and natural torsion in earthquake response and design of buildings", Proceedings of the 11th World Conference, Earthq. Eng. Research Center, University of California.
  272. DeBock, D.J., Liel, A.B., Haselton, C.B., Hooper, J.D. and Henige, R.A. (2014), "Importance of seismic design accidental torsion requirements for building collapse capacity", Earthq. Eng. Struct. Dyn., 43(6), 831-850. https://doi.org/10.1002/eqe.2375
  273. De La Colina, J. and Almeida, C. (2004), "Probabilistic study on accidental torsion of low-rise buildings", Earthq. Spectra, 20(1), 25-41. https://doi.org/10.1193/1.1646391
  274. De La Colina, J., Benitez, B. and Ruiz, S.E. (2011), "Accidental eccentricity of story shear for low-rise office buildings", J. Struct. Eng., 137(4), 513-520. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000302
  275. De La Llera, J.C. and Chopra, A.K. (1992), "Evaluation of code accidental torsion provisions using earthquake records from three nominally symmetric-plan buildings", EERC Report No. UCB/EERC-92/09, University of California, Berkeley, California, US.
  276. De La Llera, J.C. and Chopra, A.K. (1994a), "Evaluation of code accidental-torsion provisions from building records", J. Struct. Eng., 120(2), 597-616. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:2(597)
  277. De La Llera, J.C. and Chopra, A.K. (1994b), "Accidental torsion in buildings due to stiffness uncertainty", Earthq. Eng. Struct. Dyn., 23(2), 117-136. https://doi.org/10.1002/eqe.4290230202
  278. De La Llera, J.C. and Chopra, A.K. (1994c), "Using accidental eccentricity in code-specified static and dynamic analyses of buildings", Earthq. Eng. Struct. Dyn., 23(9), 947-967. https://doi.org/10.1002/eqe.4290230903
  279. De La Llera, J.C. and Chopra, A.K. (1995), "Estimation of accidental torsion effects for seismic design of building", J. Struct. Eng., 121(1), 102-114. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:1(102)
  280. Dimova, S.L. and Alashki, I. (2003), "Seismic design of symmetric structures for accidental torsion", Bul. Earthq. Eng., 1, 303-320. https://doi.org/10.1023/A:1026353312676
  281. Lin, W.H., Chopra, A.K. and De La Llera, J.C. (2001), "Accidental torsion in buildings:Analysis versus earthquake motions", J. Struct. Eng., 127(5), 475-481. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:5(475)
  282. Pekau, O.A. and Guimond, R. (1988), "Accidental torsion in yielding symmetric structures", Proceedings of the 9th World Conference, Earthq. Eng.
  283. Pekau, O.A. and Guimond, R. (1990), "Accidental torsion in yielding symmetric structures", Eng. Struct. 12(2), 98-105. https://doi.org/10.1016/0141-0296(90)90014-J
  284. Ramadan, O.M.O., Mehanny, S.S.F. and Mostafa, A. (2008), "Revisiting the 5% accidental eccentricity provision in seismic design codes for multi-story buildings", Proceedings of the 14th World Conference, Earthq. Eng.
  285. Shakib, H. and Tohidi, R.Z. (2002), "Evaluation of accidental eccentricity in buildings due to rotational component of earthquake", J. Earthq. Eng., 6(4), 431-445. https://doi.org/10.1080/13632460209350424
  286. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2005b), "Effects of accidental design eccentricity on the inelastic earthquake response of asymmetric buildings", Proceedings of the 4th European Workshop on the Seismic Behaviour of Irregular and Complex Sructures, Thessaloniki, Greece.
  287. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2006), "Importance of accidental design eccentricity for the inelastic earthquake response of buildings", Proceedings of the 13th European Conference, Earthq. Eng.
  288. Stathopoulos, K.G. and Anagnostopoulos, S.A. (2010), "Accidental design eccentricity: Is it important for the inelastic response of buildings to strong earthquakes?", Soil Dyn. Earthq. Eng., 30, 782-797. https://doi.org/10.1016/j.soildyn.2009.12.018
  289. Wong, C.M. and Tso, W.K. (1994), "Inelastic seismic response of torsionally unbalanced systems designed using elastic dynamic analysis", Earthq. Eng. Struct. Dyn., 23(7), 777-798. https://doi.org/10.1002/eqe.4290230707
  290. Aziminejad, A., Moghadam, A.S. and Tso, W.K. (2008), "A new methodology for designing multi-story asymmetric buildings", Proceedings of the 14th World Conference, Earthq. Eng., Beijing, China.
  291. Bahmani, P., Lindt, J.W. and Dao, T.N. (2014), "Displacement-based design of buildings with torsion: theory and verification", J. Struct. Eng., 140(6).
  292. Bertero, R.D. (1995), "Inelastic torsion for preliminary seismic design", J. Struct. Eng., 121(8), 1183-1189. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:8(1183)
  293. Chandler, A.M. and Duan, X.N. (1993), "A modified static procedure for the design of torsionally unbalanced multi- storey frame buildings", Earthq. Eng. Struct. Dyn., 22(5), 447-462. https://doi.org/10.1002/eqe.4290220507
  294. Crisafulli, F., Reboredo, A. and Torrisi, G. (2004), "Consideration of torsional effects in the displacement control of ductile buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  295. De La Llera, J.C. (2000), "Some fundamental aspects of torsionally coupled structures", Proceedings of the 12th World Conference, Earthq. Eng., Auckland, New Zealand.
  296. De Stefano, M., Faella, G. and Ramasco, R. (1993), "Inelastic response and design criteria of plan-wise asymmetric system", Earthq. Eng. Struct. Dyn., 22(3), 245-259. https://doi.org/10.1002/eqe.4290220306
  297. Duan, X.N. and Chandler, A.M. (1997), "An optimized procedure for seismic design of torsionally unbalanced structures", Earthq. Eng. Struct. Dyn., 26, 737-757. https://doi.org/10.1002/(SICI)1096-9845(199707)26:7<737::AID-EQE673>3.0.CO;2-S
  298. Ghersi, A. and Rossi, P.P. (1998), "Behavior of in plan irregular subjected to bi-directional ground motions", Proceedings of the 11th European Conference, Earthq. Eng.
  299. Ghersi, A., Marino, E.M. and Rossi P.P. (2007), "Static versus modal analysis: influence on inelastic response of multi- storey asymmetric buildings", Bul. Earthq. Eng., 5(4), 511-532. https://doi.org/10.1007/s10518-007-9046-1
  300. Goel, R.K. and Chopra, A.K. (1994), "Dual-level approach for seismic design of asymmetric-plan buildings", J. Struct. Eng., 120(1), 161-179. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:1(161)
  301. Kyrkos, M.T. and Anagnostopoulos, S.A. (2011), "Improved earthquake resistant design of torsionally stiff asymmetric steel buildings", Earthq. Struct., 2(2), 127-147. https://doi.org/10.12989/eas.2011.2.2.127
  302. Kyrkos, M.T. and Anagnostopoulos, S.A. (2013), "Improved earthquake resistant design of eccentric steel buildings", Soil Dyn. Earthq. Eng., 47, 144-156. https://doi.org/10.1016/j.soildyn.2012.07.011
  303. Mittal, A.K. and Jain, A.K. (1995), "Effective strength eccentricity concept for inelastic analysis of asymmetric structures", Earthq. Eng. Struct. Dyn., 24, 69-84. https://doi.org/10.1002/eqe.4290240106
  304. Muslimaj, B. and Tso, W.K. (2005). "A Design- Oriented approach to strength distribution in single-strory asymmetric systems with elements having strength-dependent stiffeness", Earthq. Spectra, 21(1), 197-212. https://doi.org/10.1193/1.1854152
  305. Paulay, T. (1996), "Seismic design for torsional response of ductile buildings", Bul. NZ Natl. Soc. Earthq. Eng., 29(3), 178-198.
  306. Paulay, T. (1997a), "A review of code provisions for torsional seismic effects in buildings", Bul. NZ Natl. Soc. Earthq. Eng., 30(3), 252-263.
  307. Paulay, T. (1997b), "Displacement-based design approach to earthquake-induced torsion in ductile buildings", Eng. Struct., 19(9), 699-707. https://doi.org/10.1016/S0141-0296(97)00167-3
  308. Paulay, T. (1997c), "Are Existing Seismic Torsion Provisions Achieving the Design Aims?", Earthq. Spectra, 13(2), 259-279. https://doi.org/10.1193/1.1585945
  309. Paulay, T. (1998), "Torsional mechanisms in ductile building systems", Earthq. Eng. Struct. Dyn., 27(10), 1101-1121. https://doi.org/10.1002/(SICI)1096-9845(199810)27:10<1101::AID-EQE773>3.0.CO;2-9
  310. Paulay, T. (2000), "A simple displacement compatibility-based seismic design strategy for reinforced concrete buildings", Proceedings of the 12th World Conference, Earthq. Eng.
  311. Paulay, T. (2001), "Some design principles relevant to torsional phenomena in ductile buildings", J. Earthq. Eng., 5(3), 273-308. https://doi.org/10.1080/13632460109350395
  312. Sommer, A. and Bachmann, H. (2005), "Seismic behavior of asymmetric RC wall buildings: principles and new deformation-based design method", Earthq. Eng. Struct. Dyn., 34(2), 101-124. https://doi.org/10.1002/eqe.412
  313. Tso, W.K. and Muslimaj, B. (2003), "A yield displacement distribution-based approach for strength assignment to lateral force resisting elements having strength dependent stiffness", Earthq. Eng. Struct. Dyn., 32(15), 2319-2351. https://doi.org/10.1002/eqe.328
  314. Bousias, S.N., Fardis, M.N., Spathis, A.L. and Kosmopoulos, A.J. (2007), "Pseudodynamic response of torsionally unbalanced two-story test testure", Earthq. Eng. Struct. Dyn., 36(8), 1065-1087. https://doi.org/10.1002/eqe.672
  315. De-la_Colina, J., Acuna, Q., Hernandez, A. and Valdes, J. (2007), "Laboratory tests of steel simple torsionally unbalanced models", Earthq. Eng. Struct. Dyn., 36(7), 887-907. https://doi.org/10.1002/eqe.659
  316. Fardis, M.N., Bousias, S.N., Franchioni, G. and Panagiotakos, T.B. (1999), "Seismic response and design of RC structures with plan-eccentric masonry infills", Earthq. Eng. Struct. Dyn., 28(2), 173-191. https://doi.org/10.1002/(SICI)1096-9845(199902)28:2<173::AID-EQE810>3.0.CO;2-1
  317. Kohyama, M., Shimazu, T., Araki, H. and Ishii, S. (1988), "Fundamental study on dynamic torsional responses of R/C space structures", Proceedings of the 9th World Conference, Earthq. Eng., IV, 687-692.
  318. Maheri, M.R., Chandler, A.M. and Bassett, R.H. (1991), "Coupled lateral-torsional behaviour of frame structures under earthquake loading", Earthq. Eng. Struct. Dyn., 20(1), 61-85. https://doi.org/10.1002/eqe.4290200106
  319. McCrum, D.P. and Broderick, B.M. (2013), "An experimental and numerical investigation into the seiusmic performance of a multi-storey concentrically braced plan irregular structure", Bul. Earthq. Eng., 11(6), 2363-2385. https://doi.org/10.1007/s10518-013-9470-3
  320. Mola, E., Negro, P. and Pinto, A., (2004), "Evaluation of current approaches for the analysis and design of multi-story torsionallt unbalanced frames", Proceedings of the 13th World Conference, Earthq. Eng.
  321. Seki, M. and Okada, T. (1984), "Nonlinear earthquake response test of torsionally coupled reinforced concrete building frames", Proceedings of the 8th World Conference, Earthq. Eng., 6, 315-322.
  322. Shahrooz, B.M. and Moehle, J.P. (1990), "Seismic response and design of setback buildings", J. Struct. Eng. 116(5), 1423-1439. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1423)
  323. Sfura, J., Hayes, J. and Foutch, D., (2004), "Investigation of torsional response in a shaketable model", Proceedings of the 13th World Conference, Earthq. Eng.
  324. Basu, D. and Jain, S. (2004), "Seismic analysis of asymmetric buildings with flexible floor diaphragms", J. Struct. Eng., 130(8), 1169-1176. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:8(1169)
  325. De La Colina, J. (2000), "Effect of flexible horizontal diaphragms on the seismic torsional resistance of systems with ductile walls", Proceedings of the 12th World Conference, Earthq. Eng.
  326. Murakami, M., Moss, P.J., Carr, A.J. and Inayama, M. (2000), "The effect of floor in plane flexibility on the response of torsionally unbalanced systems", Proceedings of the 12th World Conference, Earthq. Eng.
  327. Snyder, M.D., Bazan-Zurita, E. and Vaidya, N.R. (1996), "Impact of accidental eccentricity in the seismic design of industrial facilities", Proceedings of the 11th World Conference, Earthq. Eng.
  328. Baros, D.K. and Anagnostopoulos, S.A. (2008), "An overview of pushover procedures for the analysis of buildings susceptible to torsional behavior", Proceedings of the 14th World Conference, Earthq. Eng.
  329. Bento, R., Bhatt C. and Pinho R. (2010), "Using nonlinear static procedures for seismic assessment of the 3D irregular SPEAR building", Earthq. Struct., 1(2), 177-195. https://doi.org/10.12989/eas.2010.1.2.177
  330. Bhatt, C. and Bento, R. (2012), "Comparison of nonlinear static methods for the seismic assessmnet of plan irregular frame buildings with non seismic details", J. Earthq. Eng., 16, 15-39. https://doi.org/10.1080/13632469.2011.586085
  331. Bhatt, C. and Bento, R. (2014), "The extended adaptive capacity spectrum method for the seismic assessment of plan-asymmetric buildings", Earthq. Spectra, 30(2).
  332. Bosco, M., Ghersi, A. and Marino, E.M. (2012a), "Corrective eccentricities for assessment by the nonlinear static method of 3D structures subjected to bidirectional ground motions", Earthq. Eng. Struct. Dyn., 41(13), 1751-1773. https://doi.org/10.1002/eqe.2155
  333. Bosco, M., Ferrara, G., Ghersi, A., Marino, E.M. and Rossi, P.P. (2012b), "Predicting displacement demand of multi-storey asymmetric buildings by nonlinear static analysis and corrective eccentricities", Proceedings of the 15th World Conference, Earthq. Eng.
  334. Bosco, M., Ghersi, A. and Marino, E.M. (2013), "Comparison of non-linear static methods for the assessment of asymmetric buildings", Bull. Earthq. Eng., 11(6), 2287-2308. https://doi.org/10.1007/s10518-013-9516-6
  335. Chopra, A.K. and Goel, R.K. (2002), "A modal pushover analysis procedure for estimating seismic demands for buildings", Earthq. Eng. Struct. Dyn., 31(3), 561-582. https://doi.org/10.1002/eqe.144
  336. Chopra, A.K. and Goel, R.K. (2004), "A modal pushover analysis procedure for estimating seismic demands to estimate seismic demands for unsymmetric-plan buildings", Earthq. Eng. Struct. Dyn., 33, 903-927. https://doi.org/10.1002/eqe.380
  337. Cimellaro, G.P., Giovine, T. and Lopez-Garcia, D. (2014), "Bidirectional pushover analysis of irregular structures", J. Struct. Eng., 140(9).
  338. D' Ambrisi, A., De Stefano, M. and Tanganelli, M. (2009), "Use of pushover analysis for predicting seismic response of irregular buildings: A case study", J. Earthq. Eng., 13, 1089-1100. https://doi.org/10.1080/13632460902898308
  339. De Stefano, M. and Rutenberg, A. (1998), "Predicting the dynamic response of asymmetric multistory wallframe structures by pushover analysis: Two case studies", Proceedings of the 11th Europe Conference, Earthq. Eng.
  340. Dolsek, M. and Fajfar, P. (2007), "Simplified probabilistic seismic performance assessment of planasymmetric buildings", Earthq. Eng. Struct. Dyn., 36(13), 2021-2041. https://doi.org/10.1002/eqe.697
  341. Erduran, E. (2008), "Assessment of current nonlinear static procedures on the estimation of torsional effects in low-rise frame buildings", Eng. Struct., 30, 2548-2558. https://doi.org/10.1016/j.engstruct.2008.02.008
  342. Faella, G. and Kilar, V. (1998), "Asymmetric multistorey R/C frame structures: push-over versus nonlinear dynamic analysis", Proceedings of the 11th Europe Conference, Earthq. Eng.
  343. Fajfar, P., Marusic, D. and Perus, I. (2005), "Torsional effects in the pushover-based seismic analysis of buildings", J. Earthq. Eng., 9(6), 831-854. https://doi.org/10.1080/13632460509350568
  344. Fujii, K., Nakano, Y. and Sanada, Y. (2004), "Simplified nonlinear analysis procedure for asymmetric buildings", Proceedings of the 13th World Conference, Earthq. Eng.
  345. Fujii, K. (2011), "Nonlinear static procedure for multi-story asymmetric frame buildings considering bidirectional excitation", J. Earthq. Eng., 15, 245-273. https://doi.org/10.1080/13632461003702902
  346. Goel, R.K. (2004), "Evaluation of nonlinear static procedures using building strong motion records", Proceedings of the 13th World Conference, Earthq. Eng.
  347. Kilar, V. and Fajfar, P. (1996), "Simplified push-over analysis of building structures", Proceedings of the 11th World Conference, Earthq. Eng.
  348. Kilar, V. and Fajfar, P. (1997), "Simple push-over analysis of asymmetric buildings", Earthq. Eng. Struct. Dyn., 26(2), 233-249. https://doi.org/10.1002/(SICI)1096-9845(199702)26:2<233::AID-EQE641>3.0.CO;2-A
  349. Kreslin, M. and Fajfar, P. (2012), "The extended N2 method considering higher mode effects in both plan and elevation", Bul. Earthq. Eng., 10, 695-715. https://doi.org/10.1007/s10518-011-9319-6
  350. Lucchini, A., Monti, G. and Kunnath, S. (2008), "A simplified pushover method for evaluating the seismic demand in asymmetric-plan multi-story buildings", Proceedings of the 14th World Conference, Earthq. Eng.
  351. Magliulo, G., Maddaloni, G. and Cosenza, E. (2008), "Extension of N2 method to plan irregular buildings considering accidental eccentricity", Proceedings of the 14th World Conference, Earthq. Eng.
  352. Magliulo, G., Maddaloni, G. and Cosenza, E. (2012), "Extension of N2 method to plan irregular buildings considering accidental eccentricity", Soil Dyn. Earthq. Eng., 43, 69-84. https://doi.org/10.1016/j.soildyn.2012.07.032
  353. Manoukas, G., Athanatopoulou, A. and Avramidis, I. (2012), "Multimode pushover analysis for asymmetric buildings under biaxial seismic excitation based on a new concept of the equivalent single degree of freedom system", Soil Dyn. Earthq. Eng., 38, 88-96. https://doi.org/10.1016/j.soildyn.2012.01.018
  354. Moghadam, A.S. and Tso, W.K. (1996), "Damage assessment of eccentric multistory buildings using 3-D pushover analysis", Proceedings of the 11th World Conference. Earthq. Eng.
  355. Moghadam, A.S. and Tso, W.K. (2000), "Pushover analysis for asymmetric and set-back multi-story buildings", Proceedings of the 12th World Conference, Earthq. Eng.
  356. Poursha, M., Khoshnoudian, f. and Moghadam, A.S. (2011), "A consecutive modal pushover procedure for nonlinear static analysis of one-way unsymmetric-plan tall building structures", Eng. Struct., 33, 2417-2434. https://doi.org/10.1016/j.engstruct.2011.04.013
  357. Poursha, M., Khoshnoudian, F. and Moghadam, A.S. (2014), "The extended consecutive modal pushover procedure for estimating the seismic demands of two-way unsymmetric-plan tall buildings under influence of two horizontal components of ground motions", Soil Dyn. Earthq. Eng., 63, 162-173. https://doi.org/10.1016/j.soildyn.2014.02.001
  358. Reyes, J.C. and Chopra, A.K. (2011a), "Three-dimensional modal pushover analysis of buildings subjected to two components of ground motion, including its evaluation for tall buildings", Earthq. Eng. Struct. Dyn., 40, 789-806. https://doi.org/10.1002/eqe.1060
  359. Reyes, J.C. and Chopra, A.K. (2011b), "Evaluation of three-dimensional modal pushover analysis for unsymmetric-plan buildings subjected to two components of ground motion", Earthq. Eng. Struct. Dyn., 40, 1475-1494. https://doi.org/10.1002/eqe.1100
  360. Shakeri, K., Tarbali, K. and Mohhebi, M. (2012), "An adaptive modal pushover procedure for asymmetricplan buildings", Eng. Struct., 36, 160-172. https://doi.org/10.1016/j.engstruct.2011.11.032
  361. Tabatabaei, R. and Saffari, H. (2011), "Evaluation ot the torsional response of multistory buildings using equivalent static eccentricity", J. Struct. Eng., 137(8), 862-868. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000324
  362. Tso, W.K. and Moghadam, A.S. (1997), "Seismic response of asymmetric buildings using pushover analysis", Seismic Design Methodologies for the Next Generation of Codes, Eds. Fajfar and Krawinkler.
  363. Almazan, J.L. and De La Llera, J.C. (2003), "Accidental torsion due to overturning in nominally symmetric structures isolated with FPS", Earthq. Eng. Struct. Dyn., 32(6), 919-948. https://doi.org/10.1002/eqe.255
  364. De La Llera, J. and Almazan, J.L. (2003), "An experimental study of nominally symmetric and asymmetric structures isolated with the FPS", Earthq. Eng. Struct. Dyn., 32(6), 891-918. https://doi.org/10.1002/eqe.254
  365. Hwang J.S., Hsu T.Y. (2000), "Experimental study of isolated building under triaxial ground excitations", J. Struct. Eng., ASCE, 126, 879-886. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(879)
  366. Jangid, R.S. and Kelly J.M. (2000), "Torsional displacements in base-isolated buildings", Earthq. Spectra, 16(2), 443-454. https://doi.org/10.1193/1.1586120
  367. Kilar, V. and Koren, D. (2008), "Usage of simplified N2 method for analysis of base isolated structures", Proceedings of the 14th World Conference, Earthq. Eng.
  368. Kilar, V. and Koren, D. (2009), "Seismic behaviour of asymmetric base isolated structures with various distributions of isolators", Eng. Struct., 31, 910-921. https://doi.org/10.1016/j.engstruct.2008.12.006
  369. Koren, D. and Kilar, V. (2011), "The applicability of the N2 method to the estimation of torsional effects in asymmetric base-isolated buildings", Earthq. Eng. Struct. Dyn., 40(8), 867-886. https://doi.org/10.1002/eqe.1064
  370. Lee, D.M. (1980), "Base isolation for torsion reduction in asymmetric structures under earthquake loading", Earthq. Eng. Struct. Dyn., 8(3), 349-59. https://doi.org/10.1002/eqe.4290080405
  371. Nagarajaiah, S., Reinhorn, A.M. and Constantinou, M.C. (2003), "Torsion in base-isolated structures with elastomeric isolation systems", J. Struct. Eng., 119(10), 2932-2951. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:10(2932)
  372. Nakamura, T., Suzuki, T., Okada, H. and Takeda. T. (1988), "Study on base isolation for torsional response reduction in asymmetric structures under earthquake motions", Proceedings of the 9th World Conference, Earthq. Eng.
  373. Pan, T.C., Kelly, J.M. (1984), "Coupled lateral-torsional response of base-isolated structures", Proceedings of the 8th World Conference, Earthq. Eng.
  374. Rutenberg, A. and Eisenberger, M. (1984), "Seismic response of base isolated asymmetric shear buildings", Proceedings of the 8th World Conference, Earthq. Eng.
  375. Ryan, K.L. and Chopra, A.K. (2004), "Estimation of seismic demands on isolators in asymmetric buildings using non- linear analysis", Earthq. Eng. Struct. Dyn., 33(3), 395-418. https://doi.org/10.1002/eqe.358
  376. Ryan, K.L. and Chopra, A.K. (2006), "Estimating beaing response in symmetric and asymmetric-plan isolated buildings with rocking and torsion", Earthq. Eng. Struct. Dyn., 35(8), 1009-1036. https://doi.org/10.1002/eqe.569
  377. Seguin, C.E., De La Llera, J.C. and Almazan, J.L. (2008), "Base-structure interaction of linearly isolated structures with lateral-torsional coupling", Eng. Struct., 30, 110-125. https://doi.org/10.1016/j.engstruct.2007.02.019
  378. Seguin, C.E., Almazan, J.L. and De La Llera, J.C (2013), "Torsional balance of seismically isolated asymmetric structures", Eng. Struct., 46, 703-717. https://doi.org/10.1016/j.engstruct.2012.08.025
  379. Shakib, H. and Fuladgar, A. (2003), "Effect of vertical component of earthquake on the response of purefriction base-isolated asymmetric buildings", Eng. Struct., 25, 1841-1850. https://doi.org/10.1016/j.engstruct.2003.08.008
  380. Shimazaki, K. (2012), "Evaluation of seismic torsional response of base isolated buildings", Proceedings of the 15th World Conference, Earthq. Eng.
  381. Shook, D.A., Roschke, P.N., Lin, P.Y. and Loh, C.H. (2009), "Semi-active control of a torsionallyresponsive structure", Eng. Struct., 31, 57-68. https://doi.org/10.1016/j.engstruct.2008.06.016
  382. Tena-Colunga, A. and Gomez-Soberon, L. (2002), "Torsional response of base-isolated structures due to asymmetries in the superstructure", Eng. Struct., 24, 1587-1599. https://doi.org/10.1016/S0141-0296(02)00102-5
  383. Tena-Colunga, A. and Zambrana-Rojas, C. (2004), "Torsional response of base-isolated structures due to stiffness asymmetries of the isolation system", Proceedings of the 13th World Conference, Earthq. Eng.
  384. Tena-Colunga, A. and Zambrana-Rojas, C. (2006), "Dynamic torsional amplifications of base-isolated structures with an eccentric isolation system", Eng. Struct., 28, 72-83. https://doi.org/10.1016/j.engstruct.2005.07.003
  385. Tena-Colunga, A. and Escamilla_Cruz, J.L. (2007), "Torsional amplifications in asymmetric base-isolated structures", Eng. Struct., 29, 237-247. https://doi.org/10.1016/j.engstruct.2006.03.036
  386. Tena-Colunga, A. and Escamilla-Cruz, J.L. (2008), "Dynamic amplifications of torsionally unbalanced baseisolated structures", Proceedings of the 14th World Conference, Earthq. Eng.
  387. Toyama, J., Shinozaki, Y., Inoue, T., Maseki, R., Nagashima, I., Takagi, M. and Kitagawa, Y. (2004), "An advanced base-isolation system for irregular building design", Proceeedings of the 13th World Confernce, Earthq. Eng.
  388. Aguirre, J.J., Almazan, J.L. and Paul, C.J. (2013), "Optimal control of linear and nonlinear asymmetric structures by means of passive energy dampers", Earthq. Eng. Struct. Dyn., 42(3), 377-395. https://doi.org/10.1002/eqe.2211
  389. Ahlawat, A.S. and Ramaswamy, A. (2002), "Multiobjective optimal absorber system fot torsionally coupled seismically excited structures", Eng. Struct., 25, 941-950.
  390. Almazan, J.L. and De La Llera, J.C. (2009), "Torsional balance as new design criterion for asymmetric structures with energy dissipation devices", Earthq. Eng. Struct. Dyn., 38(12), 1421-1440. https://doi.org/10.1002/eqe.909
  391. Almazan, J.L., Espinoza, G. and Aguirre, J.J. (2012), "Torsional balance of asymmetric structures by means of tuned mass dampers", Eng. Struct., 42, 308-328. https://doi.org/10.1016/j.engstruct.2012.04.034
  392. Casciati, F., Rodellar, J. and Yildirim, U. (2011), "Active and semi-active control of structures: A review of recent advances", Proceedings of the EURODIN 2011, Louvain, Belgium.
  393. Constantinou, M. (1994) "Principles of friction, viscoelastic, yielding steel and fluid viscous dampers: Properties and design", Passive and active structural vibration control in civil engineering, Soong and Constantinou, Eds. Dept. of Civil Eng., SUNY, Buffalo, USA.
  394. De La Llera, J.C., Almazan, J.L., Vial, I., Ceballos, V. and Garcia, M. (2004), "Analytical and experimantal response of asymmetric structures with friction and viscoelastic dampers", Proceedings of the 13th World Conference, Earthq. Eng.
  395. De La Llera, J.C., Almazan, J.L. and Vial, I. (2005), "Torsional balance of plan-asymmetric structures with frictional dampers: analytical results", Earthq. Eng. Struct. Dyn., 34(9), 1089-1108. https://doi.org/10.1002/eqe.469
  396. Fujii, K. (2008), "Nonlinear static procedure for reinforced concrete asymmetric buildings with linear viscous dampers", Proceedings of the 14th World Confernce, Earthq. Eng.
  397. Garcia, M., De La Llera, J.C., Almazan, J.L. (2007), "Torsional balance of plan asymmetric structures with viscoelastic dampers", Eng. Struct., 29, 914-932. https://doi.org/10.1016/j.engstruct.2006.06.022
  398. Goel, R.K. (2000a), "Seismic behaviour of asymmetric buildings with supplemental damping", Earthq. Eng. Struct. Dyn., 29(4), 461-480. https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<461::AID-EQE917>3.0.CO;2-6
  399. Goel, R.K. (2000b), "Passive control of earthquake-induced vibrations in asymmetric buildings", Proceedings of the 12th World Confernece, Earthq. Eng.
  400. Goel, R.K. and Booker, C.A. (2001), "Effects of supplemental viscous damping on inelastic seismic response of asymmetric systems", Earthq. Eng. Struct. Dyn., 30(4), 411-430. https://doi.org/10.1002/eqe.15
  401. Goel, R.K. (2001), "Simplified analysis of asymmetric structures with supplemental damping", Earthq. Eng. Struct. Dyn., 30(9), 1399-1416. https://doi.org/10.1002/eqe.77
  402. Goel, R.K. (2004), "Seismic response control of irregular structures using nonlinear dampers", Proceedings of the 13th World Conference, Earthq. Eng.
  403. Goel, R.K. (2005), "Seismic response of linear and non-linear asymmetric systems with non-linear fluid viscous dampers", Earthq. Eng. Struct. Dyn., 34(7), 825-846. https://doi.org/10.1002/eqe.459
  404. Huo, L.S. and Li, H.N. (2004), "Torsionally coupled response control of structures using circular tuned liquid columh dampers", Eng. Mech., 22(2), 124-131.
  405. Kim, J. and Bang, S. (2002), "Optimum distribution of added viscoelastic dampers for mitigation of torsional responses of plan-wise asymmetric structures", Eng. Struct., 24, 1257-1269. https://doi.org/10.1016/S0141-0296(02)00046-9
  406. Landi, L., Diotalleli, P.P. and Castellari, G. (2013), "On the design of viscous dampers for the rehabilitation of plan-asymmetric buildings", J. Earthq. Eng., 17(8).
  407. Lavan, O. and Levy, R. (2006), "Optimal peripheral drift control of 3D irregular framed structures using supplemental viscous dampers", J. Earthq. Eng., 10(6), 903-923. https://doi.org/10.1080/13632460609350623
  408. Lavan, O. and Amir, O. (2014), "Simultaneous topology and sizing optimization of viscous dampers in seismic retrofitting of 3D irregular frame structures", Earthq. Eng. Struct. Dyn., 43(9), 1307-1324. https://doi.org/10.1002/eqe.2398
  409. Li, C. and Qu W. (2005), "Optimum properties of multiple tuned mass dampers for reduction of translational and torsional response of structures subject to ground accelaration", Eng. Struct., 28, 472-494.
  410. Lin, C.C., Ueng, J.M., Huang, T.C. (1999), "Seismic response reduction of irregular buildings using passive tuned mass dampers", Eng. Struct., 22, 513-524.
  411. Lin, W.H. and Chopra, A.K. (2001), "Understanding and predicting effects of supplemental viscous damping on seismic response of asymmetric one-storey systems", Earthq. Eng. Struct. Dyn., 30(10), 1475-1494. https://doi.org/10.1002/eqe.73
  412. Lin, W.H. and Chopra, A.K. (2003a), "Asymmetric one-storey elastic systems with non-linear viscous and viscoelastic dampers: Earthquake response", Earthq. Eng. Struct. Dyn., 32(4), 555-577. https://doi.org/10.1002/eqe.237
  413. Lin, W.H. and Chopra, A.K. (2003b), "Asymmetric one-storey elastic systems with non-linear viscous and viscoelastic dampers: Simplified analysis and supplemental damping system design", Earthq. Eng. Struct. Dyn., 32(4), 579-596. https://doi.org/10.1002/eqe.238
  414. Lin, J.L. and Tsai, K.C. (2007b), "Simplified seismic analysis of one-way asymmetric elastic systems with supplemental damping", Earthq. Eng. Struct. Dyn., 36(6), 783-800. https://doi.org/10.1002/eqe.653
  415. Lin, J.L. and Tsai, K.C. (2008b), "Seismic analysis of non proportionally damped two-way asymmetric elastic buildings under bi-directional seismic ground motions", J. Earthq. Eng., 12, 1139-1156. https://doi.org/10.1080/13632460802003371
  416. Lin, J.L. and Tsai, K.C. (2008c), "Time-domain modal analysis of non-proportionally damped two-way asymmetric elastic buildings", Proceedings of the 14th World Conference, Earthq. Eng.
  417. Lin, J.L., Tsai, K.C. and Yu, Y.J. (2010a), "Coupled tuned mass dampers for the seismic control of asymmetric-plan buildings", Earthq. Spectra, 26(3), 749-778. https://doi.org/10.1193/1.3435347
  418. Lin, C.C., Chang, C.C. and Wang, J.F. (2010b), "Active control of irregular buildings considering soilstructure interaction effects", Soil Dyn. Eathq. Eng., 30, 98-109. https://doi.org/10.1016/j.soildyn.2009.09.005
  419. Lin, J.L., Tsai, K.C. and Yu, Y.J. (2011), "Bi-directional coupled tuned mass dampers for the seismic response control of two-way asymmetric-plan buildings", Earthq. Eng. Struct. Dyn., 40(6), 675-690. https://doi.org/10.1002/eqe.1054
  420. Lin, J.L., Bui, M.T. and Tsai, K.C. (2014), "An energy-based approach to the generalized optimal locations of viscous dampers in two-way asymmetrical buildings", Earthq. Spectra, 30(2), 867-889. https://doi.org/10.1193/052312EQS196M
  421. Liu, S.C., Yang, J.N. and Samali, B. (1984), "Control of coupled lateral-torsional motion of buildings under earthquake excitations", Proceedings of the 8th World Confernce, Earthq. Eng.
  422. Lumantarna, E., Lam, N. and Wilson, J. (2013), "Displacement-controlled behavior of asymmetrical singlestory building models", J. Earthq. Eng., 17(6), 902-917. https://doi.org/10.1080/13632469.2013.781557
  423. Mansoori, M.R. and Moghagam, A.S. (2008), "Effects of damper distribution in controlling multiple torsional response parameters of asymmetric structures", Proceedings of the 14th World Confernce, Earthq. Eng.
  424. Mevada, S.V. and Jangid, R.S. (2012), "Seismic response for torsionally coupled system with semi-active variable dampers", J. Earthq. Eng., 16, 1043-1054. https://doi.org/10.1080/13632469.2012.691339
  425. Murnal, P. and Sinha, R. (2004), "Behaviot of torsionally coupled structures with variable frequency pendulum isolator", J. Struct. Eng., 130(7), 1041-1054. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1041)
  426. Palazzo, B., Petti, L. and De Iuliis, M. (2004), "Torsional seismic response control of asymmetric-plan systems by using viscous dampers", Eng. Struct., 30(11), 3377-3388. https://doi.org/10.1016/j.engstruct.2008.05.023
  427. Pekau, O.A. and Guimond, R. (1991), "Controlling seismic response of eccentric structures by friction dampers", Earthq. Eng. Struct. Dyn., 20(6), 505-522. https://doi.org/10.1002/eqe.4290200602
  428. Pekau, O.A. and Mastrangelo, E. (1992), "Seismic performance of friction damped asymmetric structures", Proceedings of the 10th World Confernce, Earthq. Eng.
  429. Pekau, O.A., Dasgupta, B. and Bedair, H. (2000), "Improved deployment of friction dampers in asymmetric multi-story buildings", Proceedings of the 12th World Confernce, Earthq. Eng., Auckland, New Zealand.
  430. Petti, L. and De Iuliis, M. (2008), "Torsional seismic response control of asymmetric-plan systems by using viscous dampers", Eng. Struct., 30, 3377-3388. https://doi.org/10.1016/j.engstruct.2008.05.023
  431. Petti, L. and De Iuliis, M. (2009), "Robust design of a single tuned mass damper for controlling torsonal response of asymmetric-plan systems", J. Earthq. Eng., 13, 108-128. https://doi.org/10.1080/13632460802347364
  432. Shook, D.A., Roschke, P.N., Lin, P.Y. and Loh, C.H. (2009), "Semi-active control of a torsionallyresponsive structure", Eng. Struct., 31, 57-68. https://doi.org/10.1016/j.engstruct.2008.06.016
  433. Singh, M.P., Singh, S. and Moreschi, L.M. (2002), "Tuned mass dampers for response control of torsional buildings", Earthq. Eng. Struct. Dyn., 31(4), 749-769. https://doi.org/10.1002/eqe.119
  434. Soong, T.T. and Spencer, Jr. B.F. (2000) "Active, semi-active and hybrid control of structures", Proceedings of the 12 World Conference, Earthq. Eng.
  435. Spencer, Jr. B.F. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng., ASCE, 129, 845-856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  436. Symans, M.D., Charney, F.A., Whittaker, A.S., Constantinou, M.C., Kircher, C.A., Johnson, M.W. and McNamara, R.J. (2008), "Energy dissipation systems for seismic applications: current practice and recent developments", J. Struct. Eng., 134(1), 3-21. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(3)
  437. Vial, I.J., De La Llera, J.C., Almazan, J.L. and Ceballos, V. (2006), "Torsional balance of plan-asymmetric structures with frictional dampers: experimental results", Earthq. Eng. Struct. Dyn., 35(15), 1875-1898. https://doi.org/10.1002/eqe.610
  438. Yoshida, O. and Dyke, S.J. (2005), "Response control of full scale irregular buildings using magnetorheological dampers", J. Struct. Eng., 131(5), 734-742. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:5(734)

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  29. Probabilistic assessment of plan-asymmetric structures under the near-fault pulse-like events considering soil–structure interaction pp.2048-4011, 2018, https://doi.org/10.1177/1369433218798305
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  31. Seismic performance of L-shaped multi-storey buildings with moment-resisting frames vol.171, pp.5, 2018, https://doi.org/10.1680/jstbu.16.00122
  32. Fibre Bragg grating sensor-based damage response monitoring of an asymmetric reinforced concrete shear wall structure subjected to progressive seismic loads vol.26, pp.3, 2018, https://doi.org/10.1002/stc.2307
  33. Effect of torsional ground motion on the seismic response of highway bridges pp.1573-1456, 2019, https://doi.org/10.1007/s10518-018-00550-8
  34. Accounting for Torsional Response in Direct Displacement-based Design of Plan-asymmetric Reinforced Concrete Frame Buildings vol.23, pp.3, 2019, https://doi.org/10.1007/s12205-019-1739-x
  35. Lessons Learned from Evaluating the Responses of Instrumented Buildings in the United States: The Effects of Supporting Building Characteristics on Floor Response Spectra vol.35, pp.1, 2019, https://doi.org/10.1193/081017EQS159M
  36. Shear forces amplification due to torsion, explicit reliance on structural topology. Theoretical and numerical proofs using the Ratio of Torsion (ROT) concept vol.61, pp.1, 2015, https://doi.org/10.12989/sem.2017.61.1.015
  37. Torsional parameters importance in the structural response of multiscale asymmetric-plan buildings vol.6, pp.1, 2015, https://doi.org/10.12989/csm.2017.6.1.055
  38. Torsional Response Induced by Lateral Displacement and Inertial Force vol.4, pp.None, 2018, https://doi.org/10.3389/fbuil.2018.00038
  39. Seismic effectiveness of top-story mass dampers for inelastic two-way asymmetric-plan buildings vol.161, pp.None, 2018, https://doi.org/10.1016/j.engstruct.2018.02.005
  40. A stochastic adaptive pushover procedure for seismic assessment of buildings vol.14, pp.5, 2015, https://doi.org/10.12989/eas.2018.14.5.477
  41. Methods of analysis for buildings with uni-axial and bi-axial asymmetry in regions of lower seismicity vol.15, pp.1, 2015, https://doi.org/10.12989/eas.2018.15.1.081
  42. The effect of mass eccentricity on the torsional response of building structures vol.67, pp.6, 2018, https://doi.org/10.12989/sem.2018.67.6.671
  43. Evaluation of the American Approach for Detecting Plan Irregularity vol.2019, pp.None, 2019, https://doi.org/10.1155/2019/2861093
  44. Impact of strong repeated ground excitation to the on-plan rotation of asymmetric building with various strength and stiffness eccentricities vol.244, pp.None, 2015, https://doi.org/10.1088/1755-1315/244/1/012023
  45. Estimation of accidental eccentricities for multi-storey buildings using artificial neural networks vol.20, pp.5, 2015, https://doi.org/10.1007/s42107-019-00137-x
  46. Effective Assessment of Inelastic Torsional Deformation of Plan-Asymmetric Shear Wall Systems vol.9, pp.14, 2015, https://doi.org/10.3390/app9142814
  47. The role of viscoelastic damping on retrofitting seismic performance of asymmetric reinforced concrete structures vol.19, pp.1, 2020, https://doi.org/10.1007/s11803-020-0558-x
  48. Peak seismic response of a symmetric base-isolated steel building: near vs. far fault excitations and varying incident angle vol.18, pp.3, 2020, https://doi.org/10.12989/eas.2020.18.3.349
  49. Peak seismic response of a symmetric base-isolated steel building: near vs. far fault excitations and varying incident angle vol.18, pp.3, 2020, https://doi.org/10.12989/eas.2020.18.3.349
  50. Effect of rigid connection to an asymmetric building on the random seismic response vol.9, pp.2, 2015, https://doi.org/10.12989/csm.2020.9.2.183
  51. Performance of torsionally eccentric RC wall frame buildings designed to DDBD under bi-directional seismic excitation vol.18, pp.7, 2015, https://doi.org/10.1007/s10518-020-00813-3
  52. Estimation of elastic seismic demands in TU structures using interactive relations between shear and torsion vol.19, pp.1, 2015, https://doi.org/10.12989/eas.2020.19.1.59
  53. The effect of accidental eccentricities on the inelastic torsional response of buildings vol.75, pp.2, 2015, https://doi.org/10.12989/sem.2020.75.2.145
  54. Torsional irregularity indices for the seismic demand assessment of RC moment resisting frame buildings vol.26, pp.None, 2015, https://doi.org/10.1016/j.istruc.2020.05.018
  55. Discussion of “Combination Rules Used to Account for Orthogonal Seismic Effects: State-of-the-Art Review” by Jianze Wang, Henry V. Burton, and Kaoshan Dai vol.146, pp.8, 2015, https://doi.org/10.1061/(asce)st.1943-541x.0002750
  56. Accounting for the Spatial Variability of Seismic Motion in the Pushover Analysis of Regular and Irregular RC Buildings in the New Italian Building Code vol.10, pp.10, 2020, https://doi.org/10.3390/buildings10100177
  57. Mitigating mass eccentricity effects on the rotational response of setbacks structures: An analytical solution for linear systems vol.28, pp.None, 2015, https://doi.org/10.1016/j.istruc.2020.09.062
  58. 3D numerical modelling for interpreting topographic effects in rocky hills for Seismic Microzonation: The case study of Arquata del Tronto hamlet vol.279, pp.None, 2015, https://doi.org/10.1016/j.enggeo.2020.105868
  59. Comparing Direct Observation of Torsion with Array-Derived Rotation in Civil Engineering Structures vol.21, pp.1, 2021, https://doi.org/10.3390/s21010142
  60. Dynamic characteristics of Canada's Parliament Hill towers from ambient vibrations and recorded earthquake data vol.48, pp.1, 2015, https://doi.org/10.1139/cjce-2018-0474
  61. Simplified seismic analysis of flexibly supported two-way asymmetric-plan buildings vol.174, pp.1, 2015, https://doi.org/10.1680/jstbu.18.00185
  62. Fast Checking of Drift Demand in Multi-Storey Buildings with Asymmetry vol.11, pp.1, 2015, https://doi.org/10.3390/buildings11010013
  63. Experimental and numerical investigation on the complex behaviour of the localised seismic response in a multi-storey plan-asymmetric structure vol.17, pp.1, 2015, https://doi.org/10.1080/15732479.2020.1730914
  64. Behaviour Factor of Ductile Code-Designed Reinforced Concrete Frames vol.2021, pp.None, 2015, https://doi.org/10.1155/2021/6666687
  65. Conditions of structural irregularity. Relationships with observed earthquake damage in Mexico City in 2017 vol.143, pp.None, 2015, https://doi.org/10.1016/j.soildyn.2021.106630
  66. Quantitative assessment of seismic design provisions for buildings with torsional irregularities vol.37, pp.2, 2021, https://doi.org/10.1177/8755293020970967
  67. Seismic Behavior of Plan and Vertically Irregular Structures: State of Art and Future Challenges vol.22, pp.2, 2015, https://doi.org/10.1061/(asce)nh.1527-6996.0000440
  68. Torsional sensitivity criteria in seismic codes vol.21, pp.1, 2015, https://doi.org/10.12989/eas.2021.21.1.001
  69. Seismic performance analysis of rocking wall TMDs structure based on shaking table test vol.21, pp.1, 2015, https://doi.org/10.12989/eas.2021.21.1.023
  70. A Comparative Study of Seismic Performance of Steel Framed Buildings with Varied Plan-Asymmetric Properties vol.15, pp.4, 2021, https://doi.org/10.1142/s1793431121500160
  71. Accidental torsion within the frame of nonlinear dynamic analysis using code accidental eccentricities and Monte Carlo simulations vol.248, pp.None, 2015, https://doi.org/10.1016/j.engstruct.2021.113196
  72. A simplified model for seismic safety assessment of reinforced concrete buildings: framework and application to a 3-storey plan-irregular moment resisting frame vol.250, pp.None, 2015, https://doi.org/10.1016/j.engstruct.2021.113348
  73. Full-scale long-term monitoring of mine-induced vibrations for soil-structure interaction research using dimensionless response spectra vol.16, pp.None, 2022, https://doi.org/10.1016/j.cscm.2021.e00801