System Reliability Under Time Varying Loads: I
Publication: Journal of Engineering Mechanics
Volume 115, Issue 4
Abstract
This is the first part of an investigation of time variant structural system reliability under multiple loadings. The formulation of the problem in the context of outcrossing of a vector random process of a safe domain is examined. Methods of evaluating reliability of series systems and plastic frames are developed. Emphasis is on use of existing time invariant reliability methods and methods of load combination. Simple and well‐defined loading and structural systems are used to develop basic understanding of the problems. Extensive Monte Carlo simulations are carried out to verify the analytical methods. For the foregoing systems whose reliabilities do not depend on the loading sequence and loading path, a load coincidence analysis in conjunction with an efficient time invariant reliability analysis may give good, conservative estimates of the failure probability.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ang, A. H.‐S., and Ma, H.‐F. (1981). “On the reliability of structural systems.” Int. Conf. on Struct. Safety and Reliability, Trondheim, Norway, 295–314.
2.
Bennett, R. M., and Ang, A. H.‐S. (1986). “Formulation of structural system reliability,” J. Eng. Mech., ASCE, 112(11), 1135–1151.
3.
Bjerager, P., Karamchandani, A., and Cornell, C. A. (1987). “Failure tree analysis in structural system reliability.” Proc., Int. Conf. on Applications of Statistics and Probability in Soil and Structural Engineering, Univeristy of British Columbia, Vancouver, B.C., Canada.
4.
Corotis, R. B., and Soltani, M. (1985). “Structural System Reliability: Limit State and Modal Consequences,” 4th Int. Conf. on Struct. Safety and Reliability, Vol. I, Kobe, Japan, 107–116.
5.
Ditlevsen, O. (1983). “Gaussian outcrossing, from safe convex polyhedrons.” J. Eng. Mech., ASCE, 109(1), 127–148.
6.
Hohenbichler, M., and Rackwitz, R. (1983). “First order concepts in system reliability.” J. Structural Safety, 1, 177–188.
7.
Larrabee, R. D., and Cornell, C. A. (1979). “Upcrossing rate solution for load combination.” J. Struct. Div., ASCE, 105(ST1), 125–132.
8.
Murotsu, Y., et al. (1984). “Automatic generation of stochastically dominant failure modes of ground structures.” Structural Safety 2, 17–25.
9.
Moses, F. (1982). “System reliability developments in structural engineering.” Structural Safety I, 3–13.
10.
Pearce, H. T., and Wen, Y. K. (1984). “Stochastic combination of load effects.” J. Struct. Eng., ASCE, 110(7), 1613–1629.
11.
Rackwitz, R. (1985). “Reliability of system under renewal pulse loading.” J. Eng. Mech., ASCE, 111(9), 1175–1184.
12.
Shinozuka, M. (1983). “Random processes in engineering mechanics.” Proc., 4th ASCE Eng. Mech. Specialty Conf., Purdue University, West Lafayette, Ind.
13.
Schueller, G. I. (1985). “Current trend in system reliability.” Proc., 4th Int. Conf. on Struct. Safety and Reliability, Kobe, Japan, I‐139‐148.
14.
Tvedt, L. (1983). “Two second‐order approximations to the failure probability.” Veritas Report, RDIV/20‐002‐83, Det Norske, Veritas, Oslo, Norway.
15.
Wen, Y. K. (1980). “Methods for reliability of structures under multiple time varying loads.” Nuclear Engineering and Design, 60, 61–71.
16.
Wen, Y. K. (1981). “Stochastic dependencies in load combination.” Proc., 3rd Int. Conf. on Struct. Safety and Reliability, Trondheim, Norway, 89–102.
17.
Wen, Y. K. (1986). “Stochastic response and damage analysis of inelastic structures.” Probabilistic Engineering Mechanics, 1(1), 49–57.
18.
Wen, Y. K., and Chen, H.‐C. (1986). “On fast integration for time variant structural reliability.” Probabilistic Engineering Mechanics, 2(3), 156–162.
19.
Wen, Y. K., and Chen, H.‐C. (1989). “System reliability under time varying loads: II.” J. Engrg. Mech., ASCE, 115(4), 824–839.
Information & Authors
Information
Published In
Copyright
Copyright © 1989 ASCE.
History
Published online: Apr 1, 1989
Published in print: Apr 1989
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.