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Response spectrum analysis considering non-classical damping in the base-isolated benchmark building

  • Chen, Huating (Earthquake Engineering Research & Test Center, Guangzhou University) ;
  • Tan, Ping (Earthquake Engineering Research & Test Center, Guangzhou University) ;
  • Ma, Haitao (Earthquake Engineering Research & Test Center, Guangzhou University) ;
  • Zhou, Fulin (Earthquake Engineering Research & Test Center, Guangzhou University)
  • Received : 2016.08.01
  • Accepted : 2017.08.04
  • Published : 2017.11.25

Abstract

An isolated building, composed of superstructure and isolation system which have very different damping properties, is typically non-classical damping system. This results in inapplicability of traditional response spectrum method for isolated buildings. A multidimensional response spectrum method based on complex mode superposition is herein introduced, which properly takes into account the non-classical damping feature in the structure and a new method is developed to estimate velocity spectra from the commonly used displacement or pseudo-acceleration spectra based on random vibration theory. The error of forced decoupling method, an approximated approach, is discussed in the viewpoint of energy transfer. From the base-isolated benchmark model, as a numerical example, application of the procedure is illustrated companying with comparison study of time-history method, forced decoupling method and the proposed method. The results show that the proposed method is valid, while forced decoupling approach can't reflect the characteristics of isolated buildings and may lead to insecurity of structures.

Keywords

References

  1. ATC (2008), Quantification of Building Seismic Performance Factors, FEMA P695, ATC-63 Project Report; Applied Technology Council, Federal Emergency Management Agency, USA.
  2. Clough, R.W. and Penzien, J. (1991), Dynamics of Structures, McGraw-Hill, New York, USA.
  3. Cronin, DL. (1976), "Approximation for determining harmonically excited response of non-classically damped system", J. Eng. Indust., 98, 43-47. https://doi.org/10.1115/1.3438868
  4. Davenport, A.G. (1964), "Note on the distribution of the largest value of a random function with application to gust loading", Proc. Inst. Civil Eng., 28(2), 187-196.
  5. Du, Y., Li, H. and Spencer, Jr. B.F. (2002), "Effect of non-proportional damping on seismic isolation", J. Struct. Control, 9, 205-236. https://doi.org/10.1002/stc.13
  6. Gupta, A.K. and Jaw, J.W. (1986), "Response spectrum method for non-classically damped systems", Nucl. Eng. Des., 91, 161-169. https://doi.org/10.1016/0029-5493(86)90203-7
  7. Hanson, R.D. and Soong, T.T. (2001), "Seismic design with supplemental energy dissipation devices", EERI Monograph No. 8; Earthquake Engineering Research Institute, Oakland, CA.
  8. Igusa, T. and Kiureghian, A.D. (1983), "Response spectrum method for systems with non-classical damping", Proceeding of ASCE-EMD Specialty Conference, West Lafayette, Indiana.
  9. Kelly, J.M. (1997), Earthquake-Resistant Design with Rubber, 2th Edition, Springer Verlag London Limited, UK.
  10. Kelly, J.M. (1999), "The role of damping in seismic isolation", Earthq. Eng. Struct. Dyn., 28, 3-20. https://doi.org/10.1002/(SICI)1096-9845(199901)28:1<3::AID-EQE801>3.0.CO;2-D
  11. Kiureghian, A.D. (1980), "Structural response to stationary excitation", J. Eng. Mech. Div., 106, 1195-1213.
  12. Kiureghian, A.D. (1981), "A response spectrum method for random vibration analysis of MDF systems", Earthq. Eng. Struct. Dyn., 9, 419-435. https://doi.org/10.1002/eqe.4290090503
  13. Narasimhan, S., Nagarajaiah, S., Johnson, E.A. and Gavin, H.P. (2006), "Smart base-isolated benchmark building. Part I: problem definition", Struct. Control Hlth. Monit., 13, 573-588. https://doi.org/10.1002/stc.99
  14. Pekhan, G., Mander, J.B. and Chen, S.S. (1999), "Design and retrofit methodology for buildings structures with supplemental energy dissipation systems", Technical Report MCEER-99-0021; University of Buffalo.
  15. Penzien, J. and Watabe, M. (1975), "Characteristics of 3-Dimensional earthquake ground motions", Earthq. Eng. Struct. Dyn., 3, 365-373.
  16. Ramirez, O.M., Constantinou, M.C., Kircher, C.A., Whittaker, A.S., Johnson, M.W., Gomez, J.D. and Chrvsostomou, C.Z. (2000), "Development and evaluation of simplified procedures for analysis and design of buildings with passive energy dissipation systems", Technical Report MCEER-00-0010; University of Buffalo.
  17. Sadek, F., Mohraz, B. and Riley, M.A. (1999), "Linear static and dynamic procedures for structures with velocity dependent supplemental dampers", NISTIR 6329; Buildings and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg, MD.
  18. Singh, M.P. (1980), "Seismic response by SRSS for non-proportional damping", J. Eng. Mech. Div., ASCE, 106(6), 1405-1419.
  19. Sinha, R. and Igusa, T. (1995), "CQC and SRSS methods for non-classically damped structures", Earthq. Eng. Struct. Dyn., 24, 615-619. https://doi.org/10.1002/eqe.4290240410
  20. Tsai, H. and Kelly, J.M. (1988), "Non-classical damping in dynamic analysis of base-isolated structures with internal equipment", Earthq. Eng. Struct. Dyn., 16, 29-43. https://doi.org/10.1002/eqe.4290160104
  21. Vanmarcke, E.H. (1972), "Properties of spectral moments with applications to random vibration", J. Eng. Mech., 98, 425-446.
  22. Villaverde, R. (1988), "Rosenblueth's modal combination rule for systems with non-classical damping", Earthq. Eng. Struct. Dyn., 16, 315-328. https://doi.org/10.1002/eqe.4290160303
  23. Warburton, G.B. and Soni, S.R. (1977), "Errors in response calculations for non-classically damped structures", Earthq. Eng. Struct. Dyn., 5(4), 365-377. https://doi.org/10.1002/eqe.4290050404
  24. Yang, J.N., Sarkani, S. and Long, F.X. (1990), "A response spectrum approach for seismic analysis of non-classically damped structures", Eng. Struct., 12, 173-184. https://doi.org/10.1016/0141-0296(90)90004-C
  25. Zhou, X.Y., Yu, R.F. and Dong, D. (2004), "Complex mode superposition algorithm for seismic responses of non-classically damped linear MDOF system", J. Earthq. Eng., 8(4), 597-641. https://doi.org/10.1080/13632460409350503

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