Reliability of Uncertain Inelastic Structures under Earthquake Excitation
Publication: Journal of Engineering Mechanics
Volume 130, Issue 2
Abstract
The assessment of safety for structures subjected to earthquake excitation is a time-variant reliability problem whose practical solution, when the structure behaves inelastically and uncertainty in the mechanical parameters is taken into account, is traditionally sought by means of simulation. In this paper the feasibility of an alternative solution based on the first order reliability method is explored. The problem is expressed in terms of first-excursion event within a conceptual framework, established in recent years, in which random vibration problems are discretized to make them tractable by the well-established methods of time-invariant structural reliability. The necessary extensions to apply the methodology to reinforced concrete frame structures are presented. Applications to a simple spring-mass system and to a complete three-dimensional bridge structure are presented.
Get full access to this article
View all available purchase options and get full access to this article.
References
Au, S. K., and Beck, J. L.(2001a). “First excursion probabilities for linear systems by very efficient importance sampling.” Probab. Eng. Mech., 16(3), 193–207.
Au, S. K., and Beck, J. L. (2001b). “Subset simulation: A new approach to calculating small failure probabilities.” Monte Carlo simulation, G. I. Schueller and P. D. Spanos, eds., Balkema, Rotterdam, The Netherlands, 287–293.
Breitung, K.(1989). “Asymptotic approximations for probability integrals.” Probab. Eng. Mech., 4(4), 187–190.
Conte, J. P., Vijalapura, P. K., and Meghella, M. (1999). “Consistent finite element sensitivities in seismic reliability analysis.” Proc., 13th ASCE Engineering Mechanics Division Conf., ASCE, Reston, Va.
Der Kiureghian, A.(2000). “The geometry of random vibrations and solutions by FORM and SORM.” Probab. Eng. Mech., 15(1), 81–90.
Franchin, P. (2001). “Seismic reliability analysis of reinforced concrete structures.” PhD thesis, Univ. of Rome La Sapienza, Rome.
Franchin, P. (2002). “A crossing-rate/FORM method for seismic reliability analysis of inelastic structures.” Paper 826, Proc., 12th European Conf. on Earthquake Engineering, European Association Earthquake Engineering, London.
Franchin, P., Lupoi, A., and Pinto, P. E. (2002). “Methods of seismic reliability analysis: State-of-the-art versus advanced state-of-the-practice.” J. Earthquake Eng., Special Issue 1.
Franchin, P., Lupoi, A., Pinto, P. E., and Schotanus, M. (2003). “Response surface for seismic fragility analysis of RC structures.” Proc., 9th Int. Conf. on Applications of Statistics and Probability, CERRA, San Francisco.
Hagen, Ø., and Tvedt, L.(1991). “Vector process out-crossing as parallel system sensitivity measure.” J. Eng. Mech., 117(10), 2201–2220.
Igusa, T., and Der Kiureghian, A.(1988). “Response of uncertain systems to stochastic excitation.” J. Eng. Mech., 114(5), 812–832.
Katafygiotis, L. S., and Cheung, S. H. (2002a). “On the calculation of the failure probability corresponding to the union of linear failure domains.” Proc., 4th Int. Conf. on Comput. Stochastic Mech., Corfu, Greece.
Katafygiotis, L. S., and Cheung, S. H. (2002b). “A novel Markov Chain Monte Carlo based simulation method for solving structural reliability problems.” Proc., 5th European Conf. on Structural Dynamics, Munich, Germany, 791–796.
Kleiber, M., Antùnez, H., Hien, H. D., and Kowalczyk, P. (1997). Parameter sensitivity in nonlinear mechanics: Theory and finite element computations, Wiley, New York.
Li, C. C., and Der Kiureghian, A. (1995). “Mean out-crossing rate of nonlinear response to stochastic input.” Proc., 9th Int. Conf. on Applications of Statistics and Probability, CERRA, Lemaire, Favre and Mebarki, eds., Balkema, Rotterdam, The Netherlands, 295–302.
Mostaghel, N.(1999). “Analytical description of pinching, degrading hysteretic systems.” J. Eng. Mech., 125(2), 216–224.
Papadimitriou, C., Beck, J. L., and Katafygiotis, L. S.(1997). “Asymptotic expansions for reliability and moments of uncertain sys-tems.” J. Eng. Mech., 123(12), 1219–1229.
Scott, M., Franchin, P., Fenves, G., and Filippou, F. C. (2004) “Response sensitivity for nonlinear beam-column elements.” J. Struct. Eng., in press.
Wen, Y. K., and Chen, H.-C.(1987). “On fast integration for time variant structural reliability.” Probab. Eng. Mech., 2(3), 156–162.
Zhang, Y., and Der Kiureghian, A. (1991). “Dynamic response sensitivity of inelastic structures.” Technical Rep. UCB/SEMM 91-06, Univ. of California, Berkeley, Calif.
Zhang, Y., and Der Kiureghian, A. (1997). “Finite element reliability methods for inelastic structures.” Technical Rep. UCB/SEMM 97-05, Univ. of California, Berkeley, Calif.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 130 • Issue 2 • February 2004
Pages: 180 - 191
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 15, 2002
Accepted: Jun 12, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.