Load Space Reliability Formulation for Poisson Pulse Processes
Publication: Journal of Engineering Mechanics
Volume 121, Issue 7
Abstract
The directional-simulation procedure to estimate the zero-time failure probability and the outcrossing rate for structural systems is extended to structural frames subject to loads modeled as mixed Poisson pulse processes. The problem is formulated in the space of the load processes. The structural system resistance is represented by probabilistically defined region boundaries obtained from the presumed (known) limit state functions for the structure. The theory is applied to a simple rigid framed structural system acted on by two discrete load processes. The results obtained are compared with those derived from a consideration of bounds on the outcrossing rate for mixed sparse Poisson processes. A comparison with results published in the literature is also given. It is shown that there may be considerable differences. A detailed discussion of the reasons for these differences closes this paper.
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References
1.
Breitung, K., and Rackwitz, R.(1982). “Non-linear combination of load processes.”J. Struct. Mech., 10(2), 145–166.
2.
Ditlevsen, O., Bjerager, P., Olsen, R., and Hasofer, A. M.(1988). “Directional simulation in Gaussian processes.”Probabilistic Engrg. Mech., 3(4), 207–217.
3.
Ditlevsen, O., Melchers, R. E., and Gluver, H.(1990). “General multi-dimensional probability integration by directional simulation.”Comp. and Struct., 36(2), 355–368.
4.
Madsen, H. O., and Zadeh, M. (1987). “Reliability of plates under combined loading.”Proc., Marine Struct. Reliability Symp., Soc. of Naval Archit. and Marine Engrs., 185–191.
5.
Melchers, R. E. (1987). Structural reliability analysis and prediction . John Wiley & Sons, Inc., New York, N.Y.
6.
Melchers, R. E.(1990). “Radial importance sampling for structural reliability.”J. Engrg. Mech., ASCE, 116(1), 189–203.
7.
Melchers, R. E.(1992). “Load space formulation for time dependent structural reliability.”J. Engrg. Mech., ASCE, 118(5), 853–870.
8.
Rackwitz, R.(1985). “Reliability of system under renewal pulse loading.”J. Engrg. Mech., ASCE, 111(9), 1175–1184.
9.
Wen, Y. K., and Chen, H. C. (1986). “System reliability under multiple hazards.”Rep. No. 526, Struct. Res. Ser., Dept. of Civ. Engrg., Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
10.
Wen, Y. K., and Chen, H. C.(1989). “System reliability under time varying loads: I.”J. Engrg. Mech., ASCE, 115(4), 808–823.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 7 • July 1995
Pages: 779 - 784
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Jul 1, 1995
Published in print: Jul 1995
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