EVALUATION OF INELASTIC DISPLACEMENT RATIOS OF BILINEAR SDOF SYSTEMS

Estimation of inelastic displacement demand of a structure is an important issue for the evaluation or design of structures. Several methods are used for estimation of inelastic displacement demand. Coefficient method is a reliable and the easiest method for estimation of inelastic displacement of an equivalent single degree of freedom (SDOF) system. Inelastic displacement demand is obtained by multiplying the elastic spectral displacement demand with a coefficient as a ratio between inelastic and elastic displacement demand of a SDOF system (CR) . This coefficient (CR) is usually determined for a constant lateral strength. It is important to derive an equation for CR to estimate a reliable inelastic displacement demand. In this study, nonlinear time history analyses were conducted based on bilinear hysteretic behavior with 160 ground motions and near field effect was not considered. An extensive statistical study was conducted to obtain CR for different single degree of freedom systems and site classes. The effects of post-yield stiffness and site class on CR were investigated. Also, proposed equations in the literature were compared to CR of earthquake data and an evaluation was conducted regarding to the reliability of the proposed equations.

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  • [1] Freeman, S. A. “Prediction of response of concrete buildings to severe earthquake motion”, Publication SP-55 American Concrete Institute, Detroite, 589-605, 1978.
  • [2] ATC-40, “Seismic Evaluation and Retrofit of Concrete Buildings”, Applied Technology Council, 1996.
  • [3] Seneviratna, G. D. P. K. and Krawinkler, H., “Evaluation of Inelastic MDOF Effects for Seismic Design”, Report No. 120, John A. Blume Earthquake Engineering Center, Stanford Univ. 1997.
  • [4] FEMA 356, “Prestandart and Commentary for The Seismic Rehabilitation of Buildings”, Federal Emergency Management Agency, Washington DC, 2000.
  • [5] Veletsos, A. S. and Newmark, N. M. “Effect of inelastic behavior on the response of simple systems to earthquake motions” Proc., 2nd World Conf. on Earthquake Engineering, Vol. 2, 895–912, 1960.
  • [6] Shimazaki, K., and Sozen, M. A. “Seismic drift of reinforced concrete structures” Research Rep., Hazama-Gumi Ltd., Tokyo, 1984.
  • [7] Miranda, E., (1991), “Seismic Evaluation and Upgrading of Existing Structures”, PhD Thesis, Univ. Of California at Berkeley, Berkeley, Calif., 1991.
  • [8] Miranda, E., “Evaluation of Seismic Design Criteria for Highway Brigdes”, Earthquake Spectra, 9, 2, 233-250, 1993.
  • [9] Miranda, E. “Evaluation of Site-dependent Inelastic Seismic Design Spectra”, Journal of Structural Engineering, 119, 5, 1319-1338, 1993.
  • [10] Miranda, E. “Inelastic Displacement Ratios for Structures on Firm Sites”, Journal of Structural Engineering, 126, 10, 1150-1159, 2000.
  • [11] Miranda, E., and Ruiz-Gracia, J. “Evaluation of Approximate Methods to Estimate Maximum Inelastic Displacement Demands”, Earthquake Engineering and Structural Dynamics, 31, 3, 539-560, 2002.
  • [12] Ruiz-Gracia, J., and Miranda, E. “Inealstic Displacement Ratios for Evaluation of Existing Structures”, Earthquake Engineering and Structural Dynamics, 32, 8, 1237-1258, 2003.
  • [13] Nassar, A. A., and Krawinkler, H. “Seismic Demands for SDOF and MDOF Systems”, Report No. 95, John A. Blume Earthquake Engineering Center , Stanford Univ., 1991.
  • [14] Aydinoglu, M. N., and Kacmaz, U., “Strength-based Displacement Amplification Spectra for Inelastic Seismic Performance Evaluation”, Report No. 2002/2, Kandilli Observatory and Earthquake Research Institute Department of Earthquake Engineering, 2002.
  • [15] Chopra, A. K., and Chintanapakdee, C., “Inealstic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of-Freedom Bilinear Systems”, J. of Struct. Eng., 130, 9, 1309-1319, 2004.
  • [16] USGS, U.S. Geological Survey. Available from: http://www.usgs.gov/ [Accessed July, 20, 2013].
  • [17] PEER NGA, Pacific Earthquake Engineering Research Center NGA Database, http://peer.berkeley.edu/nga/ [Accessed July, 21, 2013].
  • [18] Chopra, A. K., Dynamics of Structures, Prentice-Hall, New Jersey, 2001.
  • [19] MATLAB, The Language of Technical Computing.
  • [20] Vidic T., Fajfar P, Fishinger M., “Consistent inelastic design spectra: strength and displacement”, Earthquake Engineering and Structural Dynamics, 23, 507-528, 1994
  • [21] FEMA 440, “Improvement of Nonlinear Static Seismic Analysis Procedures”, Federal Emergency Management Agency, Washington DC, 2005.