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A study on determination of target displacement of RC frames using PSV spectrum and energy-balance concept

  • Ucar, Taner (Faculty of Architecture, Dokuz Eylul University) ;
  • Merter, Onur (Faculty of Engineering (Civil), Dokuz Eylul University) ;
  • Duzgun, Mustafa (Faculty of Engineering (Civil), Dokuz Eylul University)
  • Received : 2011.07.29
  • Accepted : 2012.02.21
  • Published : 2012.03.25

Abstract

The objective of this paper is to present an energy-based method for calculating target displacement of RC structures. The method, which uses the Newmark-Hall pseudo-velocity spectrum, is called the "Pseudo-velocity Spectrum (PSVS) Method". The method is based on the energy balance concept that uses the equality of energy demand and energy capacity of the structure. First, nonlinear static analyses are performed for five, eight and ten-story RC frame structures and pushover curves are obtained. Then the pushover curves are converted to energy capacity diagrams. Seven strong ground motions that were recorded at different soil sites in Turkey are used to obtain the pseudo-acceleration and the pseudo-velocity response spectra. Later, the response spectra are idealised with the Newmark-Hall approximation. Afterwards, energy demands for the RC structures are calculated using the idealised pseudo-velocity spectrum. The displacements, obtained from the energy capacity diagrams that fit to the energy demand values of the RC structures, are accepted as the energy-based performance point of the structures. Consequently, the target displacement values determined from the PSVS Method are checked using the displacement-based successive approach in the Turkish Seismic Design Code. The results show that the target displacements of RC frame structures obtained from the PSVS Method are very close to the values calculated by the approach given in the Turkish Seismic Design Code.

Keywords

References

  1. ATC (1996), Seismic Evaluation and Retrofit of Concrete Buildings, ATC-40, Applied Technology Council, Redwood City, CA.
  2. Chopra, A.K. (1995), Dynamics of Structures, Theory and Applications to Earthquake Engineering, Prentice-Hall, New Jersey.
  3. Fajfar, P. and Fischinger, M.A. (1990), "Seismic procedure including energy concept", Proceedings of IX ECEE, Moscow.
  4. Fajfar, P. and Vidic, T. (1994), "Consistent inelastic design spectra: Hysteretic and input energy", Earthq. Eng. Struct. D., 23(5), 523-537. https://doi.org/10.1002/eqe.4290230505
  5. Fajfar, P. and Gaspersic, P. (1996), "The N2 method for the seismic damage analysis of RC buildings", Earthq. Eng. Struct. D., 25(1), 31-46. https://doi.org/10.1002/(SICI)1096-9845(199601)25:1<31::AID-EQE534>3.0.CO;2-V
  6. Fajfar, P. (2000), "A nonlinear analysis method for performance based seismic design", Earthq. Spectra, 16(3), 573-592. https://doi.org/10.1193/1.1586128
  7. FEMA (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, FEMA 356, American Society of Civil Engineers, Washington, DC.
  8. FEMA (2005), Improvement of Nonlinear Static Analysis Procedures, FEMA 440, Applied Technology Council, Washington, DC.
  9. Goel, R.K. and Chopra, A.K. (2001), A Modal Pushover Analysis Procedure to Estimate Seismic Demands for Buildings: Theory and Implementation, Report No. PEER-2001/03, Pacific Earthquake Research Center, University of California, Berkeley.
  10. Goel, S.C., Liao, W.C. and Leelataviwat, S. (2009), "An energy spectrum method for seismic evaluation of structures", Conference on Improving the Seismic Performance of Existing Buildings and Other Structures, Applied Technology Council and the Structural Engineering Institute of ASCE, San Francisco, CA.
  11. Housner, G.W. (1956), "Limit design of structures to resist earthquakes", Proceedings of the 1st World Conference on Earthquake Engineering, Oakland, California.
  12. Kusuma, G., Mendis, P. and Lumantarna, B. (2004), "Performance-based seismic design using energy balance for R/C frames structures", Proceedings of ACMSM-18 Conference, Perth.
  13. Kuwamura, H. and Galambos, T.V. (1989), "Earthquake load for structural reliability", J. Struct. Eng., 115(6), 1446-1462. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:6(1446)
  14. Lee, S.S. and Goel, S.C. (2001), Performance Based Design of Steel Moment Frames Using Target Drift and Yield Mechanism, Research Report, UMCEE 01-17, The University of Michigan, Department of Civil and Environmental Engineering.
  15. Leelataviwat, S., Goel, S.C. and Stojadinovic, B. (2002), "Energy-based seismic design of structures using yield mechanism and target drift", J. Struct. Eng., 128(8), 1046-1054. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1046)
  16. Leelataviwat, S., Saewon, W. and Goel, S.C. (2008), "An energy based method for seismic evaluation of structures", Proceedings of the 14th World Conference on Earthquake Engineering: Innovation Practice Safety, Bejing, China.
  17. Leelataviwat, S., Saewon, W. and Goel, S.C. (2009), "Application of energy balance concept in seismic evaluation of structures", J. Struct. Eng., 135(2), 113-121. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:2(113)
  18. Lin, Y.Y., Chang, K.C. and Wang, Y.L. (2004), "Comparison of displacement coefficient method and capacity spectrum method with experimental results of RC columns", Earthq. Eng. Struct. D., 33(1), 35-48. https://doi.org/10.1002/eqe.336
  19. Liao, W.C. (2010), "Peformance-based plastic design of earthquake resistant reinforced concrete moment frames", Ph.D. Thesis, University of Michigan.
  20. Mander, J.B., Priestley, M.J.N. and Park, R. (1988), "Theoretical stress-strain model for confined concrete", J. Struct. Eng., 114(8), 1804-1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  21. Manfredi, G. (2001), "Evaluation of seismic energy demand", Earthq. Eng. Struct. D., 30(4), 485-499. https://doi.org/10.1002/eqe.17
  22. Newmark, N.M. and Hall, W.J. (1982), Earthquake Spectra and Design, Earthquake Engineering Research Institute, Berkeley, California.
  23. Panagiotakos, T.B. and Fardis, M.N. (2001), "A displacement-based seismic design procedure for RC buildings and comparison with EC8", Earthq. Eng. Struct. D., 30(10), 1439-1462. https://doi.org/10.1002/eqe.71
  24. Park, H.G. and Eom, T.S. (2006), "A simplified method for estimating the amount of energy dissipated by flexure dominated reinforced concrete members for moderate cyclic deformations", Earthq. Spectra, 22(3), 459-490. https://doi.org/10.1193/1.2197547
  25. SAP2000 Nonlinear, Version 14.2, Structural Analysis Program (2010) Computers and Structures Inc., Berkeley CA.
  26. Strong Ground Motion Database of Turkey, http://www.deprem.gov.tr.
  27. Sucuoglu, H. and Nurtug, A. (1995), "Earthquake ground motion characteristics and seismic energy dissipation", Earthq. Eng. Struct. D., 24(9), 1195-1213. https://doi.org/10.1002/eqe.4290240903
  28. Sullivan, T.J., Priestly, M.J.N. and Calvi, G.M. (2006), Seismic Design of Frame-Wall Structures, Research Report No. ROSE-2006/02, European School for Advanced Studies in Reduction of Seismic Risk, Pavia, Italy.
  29. Surahman, A. (2007), "Earthquake-resistant structural design through energy demand and capacity", Earthq. Eng. Struct. D., 36(14), 2099-2117. https://doi.org/10.1002/eqe.718
  30. Turkish Seismic Design Code (2007), Ministry of Public Works and Settlement, Ankara.
  31. Turkish Standard Institute TS500 (2000), Requirements for Design and Construction of Reinforced Concrete Structures, Ankara, Turkey.
  32. Uang, L. and Bertero, C. (1998), Energy Based Design Parameters in Performance Approach, Seismic Research Letters, 123-134.
  33. XTRACT V.3.0.7 (2006), Imbsen Software Systems, Sacramento.
  34. Zahrah, T.F. and Hall, W.J. (1984), "Earthquake energy absorption in SDOF structures", J. Struct. Eng.-ASCE, 110(8), 1757-1772. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:8(1757)

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