Assessment of Collapse Potential of Degrading SDOF Systems
Authors: Muzaffer Borekci, Murat S. Kirçil
Abstract:
Predicting the collapse potential of a structure during earthquakes is an important issue in earthquake engineering. Many researchers proposed different methods to assess the collapse potential of structures under the effect of strong ground motions. However most of them did not consider degradation and softening effect in hysteretic behavior. In this study, collapse potential of SDOF systems caused by dynamic instability with stiffness and strength degradation has been investigated. An equation was proposed for the estimation of collapse period of SDOF system which is a limit value of period for dynamic instability. If period of the considered SDOF system is shorter than the collapse period then the relevant system exhibits dynamic instability and collapse occurs.
Keywords: Collapse, degradation, dynamic instability, seismic response.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100613
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[1] C. B. Haselton, “Assessing seismic collapse safety of modern reinforced concrete moment frame buildings,” Ph.D dissertation, Stanford University, 2006.
[2] L. F. Ibarra LF and H. Krawinkler, “Global collapse of frame structures under seismic excitations,” John A. Blume Earthquake Engineering Center, Stanford Univ., Rep. No. 152, 2005.
[3] L. F. Ibarra, R. A. Medina and H. Krawinkler, “Hysteretic models that incorporate strength and stiffness deterioration,” Earthq. Eng. Struct. Dyn., vol. 34, no. 12, pp. 1489-1511, June 2005.
[4] P. Negro, “Experimental assessment of the global cyclic damage of framed R/C structures,” J. of Earthquake Eng., vol. 1, no. 3, pp. 543- 562, 1997.
[5] M. T. Braz-Cezar, D. Oliviera and R. C. Barros (2008), “Comparison of cyclic response of reinforced concrete infilled frames with experimental results,” Proc. of the 14th World Conference on Earthquake Engineering, Beijing, 2008.
[6] FEMA 440, Improvement of Nonlinear Static Seismic Analysis Procedures, Federal Emergency Management Agency, Washington, DC, 2005.
[7] D. Bernal, “Instability of buildings during seismic response,” Engineering Structures, vol. 20, no. 4-6, pp. 496-502, 1998.
[8] R. Villaverde, “Methods to assess the seismic collapse capacity of building structures: State of the art,” J. of Struct. Eng., vol. 133, no. 1, pp. 57-66, 2007.
[9] D. Bernal, “Instability of buildings subjected to earthquakes,” J. of Struct. Eng., vol. 118, no. 8, pp. 2239-2260, 1992.
[10] G. A. MacRae, “P-E effects on single-degree-of-freedom structures in earthquakes,” Earthq. Spectra, vol. 10, no. 3, pp. 539-568, 1994.
[11] E. Miranda and S. D. Akkar, “Dynamic instability of simple structural systems,” J. of Struct. Eng., vol. 129, no. 12, pp. 1722 – 1726, 2003.
[12] C. Adam, L. F. Ibarra and H. Krawinkler, “Evaluation of P-delta effects in non-deterioration MDOF structures from equivalent SDOF systems,” Proc. of the 113th World Conference on Earthquake Engineering, Vancouver, B.C., Canada, 2004.
[13] D. Vamvatsikos and C. A. Cornell, “Direct estimation of the seismic demand and capacity of MDOF systems through incremental dynamic analysis of an SDOF approximation,” Proc. of the 5th European Conf. Struct. Dyn., Munich, Germany, 2002.
[14] M. Chenouda and A. Ayoub, “Inelastic displacement ratios of degrading systems,” J. of Struct. Eng., vol. 134, no. 6, pp. 1030 – 1045, 2008.
[15] USGS, U.S. Geological Survey, http://www.usgs.gov/
[16] R. Clough and S. B. Johnston, “Effect of stiffness degradation on earthquake ductility requirements,” Proc. Transactions of Japan Earthq. Eng. Symp., 1966, pp. 195 - 198.
[17] S. A. Mahin and V. V. Bertero (1975), “An evaluation of some methods for predicting seismic behavior of reinforced concrete buildings,” University of California at Berkeley Earthquake Engineering Research Center, Rep. No. 75-5, 1975.
[18] M. Rahnama and H. Krawinkler, “Effects of soils and hysteresis models on seismic design spectra,” John A. Blume Earthquake Engineering Center, Stanford Univ., Rep. No. 108, 1993.
[19] M. Borekci and M. S. Kirçil, “Collapse period of degrading SDOF systems,” Earthq. Eng. and Eng. Vibr, in-press.