Reliability Analysis of Single-Degree-of-Freedom Elastoplastic Systems. II: Suboptimal Excitations
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Volume 133, Issue 10
Abstract
A method for constructing an approximation of the critical excitation that drives an elastoplastic system from rest to a target threshold at a specified time instant, referred to as the “suboptimal excitation,” is presented in this paper. It is based on the observations gained from study of the critical excitations in the companion paper. Essentially, for the usual case of interest where the failure time is not small compared to the natural period, the duration of the positive and negative pulses of the critical excitation are roughly equal to half of the natural period. This consideration allows for a simple intuitive approximation of the critical excitation. The amplitudes of the positive and negative pulses are obtained in closed forms using energy balance. Numerical investigations show that the critical excitations are well approximated by the suboptimal excitations.
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Acknowledgments
The work described in this paper was fully supported by a grant from the City University of Hong Kong (Project No. 7200053). The financial support is gratefully acknowledged.
References
Au, S. K. (2001). “On the solution of first excursion problems by simulation with applications to probabilistic seismic performance assessment.” Ph.D. thesis in Civil Engineering, EERL Rep. No. 2001-02, California Institute of Technology, Pasadena, Calif.
Au, S. K. (2006). “Critical excitation of SDOF elastoplastic systems.” J. Sound Vib. 296(4–5), 714–733.
Koo, H., Der Kiureghian, A., and Fujimura, K. (2005). “Design-point excitation for nonlinear random vibrations.” Probab. Eng. Mech. 20(2), 136–147.
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© 2007 ASCE.
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Received: Apr 19, 2006
Accepted: Oct 30, 2006
Published online: Oct 1, 2007
Published in print: Oct 2007
Notes
Note. Associate Editor: Lambros S. Katafygiotis
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