DOI QR코드

DOI QR Code

An effective load increment method for multi modal adaptive pushover analysis of buildings

  • Turker, K. (Balikesir University, Civil Engineering Department) ;
  • Irtem, E. (Balikesir University, Civil Engineering Department)
  • Received : 2005.12.23
  • Accepted : 2006.08.17
  • Published : 2007.01.10

Abstract

In this study, an effective load increment method for multi modal adaptive non-linear static (pushover) analysis (NSA) for building type structures is presented. In the method, lumped plastisicity approach is adopted and geometrical non-linearties (second-order effects) are included. Non-linear yield conditions of column elements and geometrical non-linearity effects between successive plastic sections are linearized. Thus, load increment needed for formation of plastic sections can be determined directly (without applying iteration or step-by-step techniques) by using linearized yield conditions. After formation of each plastic section, the higher mode effects are considered by utilizing the essentials of traditional response spectrum analysis at linearized regions between plastic sections. Changing dynamic properties due to plastification in the system are used on the calculation of modal lateral loads. Thus, the effects of stiffness changes and local mechanism at the system on lateral load distribution are included. By using the proposed method, solution can be obtained effectively for multi-mode whereby the properties change due to plastifications in the system. In the study, a new procedure for determination of modal lateral loads is also proposed. In order to evaluate the proposed method, a 20 story RC frame building is analyzed and compared with Non-linear Dynamic Analysis (NDA) results and FEMA 356 Non-linear Static Analysis (NSA) procedures using fixed loads distributions (first mode, SRSS and uniform distribution) in terms of different parameters. Second-order effects on response quantities and periods are also investigated. When the NDA results are taken as reference, it is seen that proposed method yield generally better results than all FEMA 356 procedures for all investigated response quantities.

Keywords

References

  1. Antoniou, S., Rovithakis, A. and Pinho, R. (2002), 'Development and verification of a fully adaptive pushover procedure', 12th European Conf. on Earthquake Engineering, London
  2. Aschheim, M.A. and Hernandez-Montes, E. (2006), 'Observations on the reliability of alternative multiple-mode pushover analysis methods', J. Struct. Eng., 132, 471-477 https://doi.org/10.1061/(ASCE)0733-9445(2006)132:3(471)
  3. Aydinoglu, M.N. (2003), 'An incremental response spectrum analysis procedure based on inelastic spectral displacements for multi-mode seismic performance evaluation', Bulletin of Earthq. Eng., 1, 3-36 https://doi.org/10.1023/A:1024853326383
  4. Bathe, J.K. (1996), Finite Element Procedures, Prentice Hall, Englewood Cliffs, New Jersey
  5. Chopra, A.K. and Goel, R.K. (2001), 'A modal pushover analysis procedure to estimate seismic demands for buildings: Theory and preliminary evaluation', Pasific Earthquake Engineering Research Center (PEER), Report No. 2001/03, University of California, Berkeley, California
  6. Chopra, K.A. (2001), Dynamics of Structures, Second Edition, Prentice Hall, New Jersey
  7. Chopra, A.K. and Goel, R.K. (2002), 'A modal pushover analysis procedure for estimating seismic demands for buildings', Earthq. Eng. St.ruct. Dyn., 31, 561-582 https://doi.org/10.1002/eqe.144
  8. Cakiroglu, A. and Ozer, E. (1980), Materially and Geometrically Non-Linear Systems, Vol. 1 (in Turkish), Istanbul Technical University Publications, Istanbul
  9. Cakiroglu, A., Ozer, E. and Girgin, K. (1999), 'Yield conditions and yield vector for combined biaxial bending of rectangular reinforced concrete sections', Proc. of the Ugur Ersoy Symposium on Structural Engineering, Ankara
  10. Elnashai, A.S. (2001), 'Advanced inelastic static (pushover) analysis for earthquake applications', Struct. Eng. Mech., 12, 51-69 https://doi.org/10.12989/sem.2001.12.1.051
  11. FEMA (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, FEMA 356, American Society of Civil Engineers, Virginia
  12. FEMA (2004), Improvement of Nonlinear Static Seismic Analysis Procedures, FEMA 440 (ATC-55 project), Federal Emergency Management Agency, Washington, D.C
  13. Girgin, K. (1996), 'A method of load increments for the determination of second-order limit load and collapse safety of reinforced concrete framed structures', Ph.D. Thesis, Istanbul Technical University, Institute of Science, Istanbul
  14. Goel, R.K. and Chopra, A.K. (2005), 'Role of higher - 'Mode' Pushover analyses in seismic analysis of buildings', Earthquake Spectra, 21, 1027-1041 https://doi.org/10.1193/1.2085189
  15. Gupta, B. and Kunnath, S.K. (2000), 'Adaptive spectra-based pushover procedure for seismic evaluation of structures', Earthquake Spectra, 16, 367-391 https://doi.org/10.1193/1.1586117
  16. Hernandez-Montes, E., Kwon, O.-S. and Aschheim, M.A. (2004), 'An energy-based formulation for first-and multiple-mode nonlinear static (Pushover) analyses', J. Earthq. Eng., 8, 69-88 https://doi.org/10.1142/S1363246904001390
  17. Hodge, P.G. (1959), Plastic Analysis of Structures, Mc, Graw Hill
  18. Irtem, E. (1991), 'Determination of second-order limit load of framed space structures by a method of load increment', Ph.D. Thesis, Istanbul Technical University, Institute of Science, Istanbul
  19. Jan, T.S., Liu, M.W. and Kao, Y.C. (2004), 'An upper-bound pushover analysis procedure for estimating the seismic demands of high-rise buildings', Eng. Struct., 26, 117-128 https://doi.org/10.1016/j.engstruct.2003.09.003
  20. Kim, S. and D'Amore, E. (1999), 'Push-over analysis procedure in earthquake engineering', Earthquake Spectra, 15, 417-434 https://doi.org/10.1193/1.1586051
  21. Lawson, R.S., Vance, V. and Krawinkler, H. (1994), 'Nonlinear static push-over analysis-why, when, and how?', Proc. of Fifth U.S. Nat. Conf. on Earthquake Engineering, 1, 283-292, Chicago
  22. McGuire, W., Gallagher, R.H. and Ziemian, R.D. (2000), Matrix Structural Analysis, 2nd Edition, John Wiley
  23. Moghadam, A.S. (1998), 'A pushover procedure for tall buildings', Proc. of 12th European Conf. on Earthquake Engineering, Balkema, Rotterdam, London
  24. Mwafy, A.M. and Elnashai, A.S. (2001), 'Static pushover versus dynamic collapse analysis of RC buildings', Eng. Struct., 23, 407-424 https://doi.org/10.1016/S0141-0296(00)00068-7
  25. Ozer, E. (1987), 'Determination of the second-order limit load by a method of load increments', Bulletins of the Technical University of Istanbul, 40, 815-835
  26. Paret, T.F., Sasaki, K.K., Eilbeck, D.H. and Freeman, S.A. (1996), 'Approximate inelastic procedures to identify failure mechanisms from higher mode effects', Proc. of Eleventh World Conf. on Earthquake Engineering, Acapulco, Mexico
  27. Pacific Earthquake Engineering Research Center. (PEER) (2005), Strong Motion Database, http://www.peer.berkeley.edu
  28. RAM International. (2004), RAM Perform-2D User guide and element descriptions, Version 1.30, http://www.ramint.com
  29. Rovithakis, A. (2001), 'Verification of adaptive pushover analysis procedures', M.Sc. Thesis, Imperial College of Science, Technology and Medicine, U.K
  30. TEC (1998), Turkish Earthquake Code, The Minister of Public Works and Settelement, Ankara
  31. Turker, K. (2005), 'Multi modal adaptive load increment method for determination of earthquake response of structures', Ph.D. Thesis, Bahkesir University, Institute of Science, Bahkesir
  32. Yang, P. and Wang, Y. (1998), 'A study on improvement of pushover analysis', Proc. of 12th World Conf. on Earthquake Engineering, Auckland, New Zealand

Cited by

  1. Research on the normality of the plastic strain vector to the yield surface in RC sections vol.47, pp.7, 2014, https://doi.org/10.1617/s11527-013-0116-3
  2. Seismic risk assessment of buildings in Izmir, Turkey vol.54, pp.1, 2010, https://doi.org/10.1007/s11069-009-9455-3
  3. Probabilistic seismic risk assessment of hall buildings in Turkey vol.22, pp.5, 2013, https://doi.org/10.1002/tal.694
  4. A Pseudo-Space Model of Steel Staggered Truss System vol.105-107, pp.1662-7482, 2011, https://doi.org/10.4028/www.scientific.net/AMM.105-107.990
  5. A load increment method for ductile reinforced concrete (RC) frame structures considering strain hardening effects vol.38, pp.2, 2011, https://doi.org/10.12989/sem.2011.38.2.231