Local estimation of failure probability function and its confidence interval with maximum entropy principle

Probabilistic Engineering Mechanics

Volumn 22, Issue 1, 2007, Pages 39-49

  Ching, Jianye ^a   Hsieh, Yi Hung ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Maximum entropy; Reliability analysis; Reliability sensitivity; Subset Simulation

Indexed keywords

COMPUTER SIMULATION; ENTROPY; FAILURE ANALYSIS; FUNCTION EVALUATION; NONLINEAR SYSTEMS; RELIABILITY THEORY;

FAILURE PROBABILITY FUNCTION; LOGARITHMS;

PROBABILITY;

EID: 33750379016     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2006.05.002     Document Type: Article

References (23)

1. Au S.K. Reliability-based design sensitivity by efficient simulation. Computers and Structures 83 14 (2005) 1048-1061
2. Benjamin J.R., and Cornell C.A. Reliability, statistics and decision for civil engineers (1970), McGraw Hill, New York
3. Madsen H.O., Krenk S., and Lind N.C. Methods of structural safety (1986), Prentice-Hall, New York
4. Thoft-Christensen P., and Murotsu Y. Application of structural systems reliability theory (1986), Springer Verlag, Berlin
5. Au S.K., and Beck J.L. Estimation of small failure probability in high dimensions by subset simulation. Probabilistic Engineering Mechanics 16 (2001) 263-277
6. Der Kiureghian A. The geometry of random vibrations and solutions by FORM and SORM. Probabilistic Engineering Mechanics 15 (2000) 81-90
7. Pradlwarter H.J., and Schueller G.I. Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation. Probabilistic Engineering Mechanics 14 (1999) 213-227
8. Katafygiotis LS, Moan T, Cheung SH. Auxiliary domain method for solving multi-objective dynamic reliability problems for nonlinear structures. Journal of Structural Engineering and Engineering Mechanics [in press]
9. Enevoldsen I., and Sorensen J.D. Reliability-based optimization in structural engineering. Structural Safety 15 (1994) 169-196
10. Gasser M., and Schueller G.I. Reliability-based optimization of structural systems. Mathematical Methods of Operations Research 46 (1997) 287-307
11. Papadrakakis M., and Lagaros N.D. Reliability-based structural optimization using neural networks and Monte Carlo simulation. Computer Methods in Applied Mechanics and Engineering 191 32 (2002) 3491-3507
12. Royset J.O., Kiureghian A.D., and Polak E. Reliability-based optimal design of series structural systems. Journal of Engineering Mechanics 127 (2001) 607-614
13. Karamchandani A., and Cornell C.A. Sensitivity estimation within first and second order reliability methods. Structural Safety 11 (1992) 95-107
14. Bjerager P., and Krenk S. Parametric sensitivity in first order reliability theory. Journal of Engineering Mechanics 115 7 (1989) 1577-1582
15. Enevoldsen I. Sensitivity analysis or reliability-based optimal solution. Journal of Engineering Mechanics 120 1 (1994) 198-205
16. Jensen H.A. Structural optimization of linear dynamical systems understochastic excitation: A moving reliability database approach. Computer Methods in Applied Mechanics and Engineering 194 (2005) 1757-1778
17. Ching J., Au S.K., and Beck J.L. Reliability estimation for dynamic systems subject to stochastic excitations using subset simulation with splitting. Computer Methods in Applied Mechanics and Engineering 194 (2005) 1557-1579
18. Ching J., Beck J.L., and Au S.K. Hybrid subset simulation method for reliability estimation of dynamic systems subject to stochastic excitations. Probabilistic Engineering Mechanics 20 3 (2005) 199-214
19. Jaynes E.T. Information theory and statistical mechanics. Physical Review 106 (1957) 620-630
20. Ormoneit D., and White H. An efficient algorithm to compute maximum entropy densities. Econometric Reviews 18 (1999) 127-140
21. Zellner A., and Highfield R.A. Calculation of maximum entropy distributions and approximation of marginal posterior distributions. Journal of Econometrics 37 (1988) 195-209
22. Bickel P.J., and Doksum K.A. Mathematical statistics: Basic ideas and selected topics (1977), Holden-Day, San Francisco
23. Schuëller GI, Pradlwarter HJ, Beck JL, Au SK, Katafygiotis LS, Ghanem R. Benchmark study on reliability estimation in higher dimensions of structural systems: An overview. In: Eurodyn 2005 conference. 2005