A modified method to calculate reliability index using maximum entropy principle

Journal of Central South University

Volumn 20, Issue 4, 2013, Pages 1058-1063

  Xu, Zhi Jun ^a,b   Zheng, Jun Jie ^a   Bian, Xiao Ya ^a   Liu, Yong ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HENAN UNIVERSITY OF TECHNOLOGY   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

first order second moment; maximum entropy principle; Monte Carlo simulation; Newton iteration; reliability index

Indexed keywords

CALCULATION EFFICIENCY; FIRST ORDER SECOND MOMENT; FIRST ORDER SECOND MOMENT METHOD; MAXIMUM ENTROPY PRINCIPLE; MONTE-CARLO SIMULATIONS; NEWTON ITERATION METHOD; NEWTON ITERATIONS; RELIABILITY INDEX;

MAXIMUM ENTROPY METHODS; MAXIMUM PRINCIPLE; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION;

ITERATIVE METHODS;

EID: 84890308175     PISSN: 20952899     EISSN: 21622388     Source Type: Journal    
DOI: 10.1007/s11771-013-1584-x     Document Type: Article

References (19)

1. PHOON K K. Reliability-based design in geotechnical engineering: Computations and applications [M]. London and New York: Taylor & Francis, 2008: 372-375.
2. JUANG C H, FANG S Y, KHOR E H. First-order reliability method for probabilistic liquefaction triggering analysis using CPT [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2006, 132(3): 337-350.
3. HUANG J S, GRIFFITHS D V. Observations on FORM in a simple geomechanics example [J]. Structural Safety, 2011, 33(1): 115-119.
4. XIANG Y B, LIU Y M. Inverse first-order reliability method for probabilistic fatigue life prediction of composite laminates under multiaxial loading [J]. Journal of Aerospace Engineering, 2011, 24(2): 189-198.
5. RACKWITZ R. Reliability analysis-A review and some perspectives [J]. Structural Safety, 2001, 23(4): 365-395.
6. ZHAO, Y G, TETSURO O. A general procedure for first/secondorder reliability method (FORM/SORM) [J]. Structural Safety, 1999, 21(2): 95-112.
7. ANG H S, TANG W H. Probability concepts in engineering planning and design. 4nd edition: decision, risk, and reliability [M]. New York: John Wiley, 2007: 133-134.
8. ZHAO Y G, TETSURO O. Moment methods for structural reliability [J]. Structural Safety, 2001, 23(1): 47-75.
9. LOW B K, TANG W H. Reliability analysis using object oriented constrained optimization [J]. Structural Safety, 2004, 26(1): 69-89.
10. LOW B K, TANG W H. Efficient spreadsheet algorithm for first-order reliability Method [J]. Journal of Engineering Mechanics, ASCE, 2007, 133(12): 1378-1387.
11. ZHENG J J, LIU Y, GUO J. Equal step iteration method for reliability index and its proof of convergence [J]. Journal of Huazhong University of Science and Technology: Natural Science Edition, 2008, 36(8): 129-132. (in Chinese)
12. ZHANG J, ZHANG L M, TANG W H, DIST M. Reliability-based optimization of geotechnical systems [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2011, 137(12): 1211-1221.
13. JAYNES E T. Information theory and statistical mechanics [J]. Physic Review, 1957, 106(4): 620-630.
14. PHILLIPS S J, ANDERSON R P, SCHAPIRE R E. Maximum entropy modeling of species geographic distributions [J]. Ecological Modeling, 2006, 190(3/4): 231-259.
15. HYON Y, CARRILLO J A, DU Q, KINETIC C L, MODELS R. A maximum entropy principle based closure method for macro-micro models of polymeric metals [J]. Kinetic and Related Models, 2008, 1(2): 1-14.
16. ZHAO W Y, XU Z J, ZHENG J J. Reliability analysis of vertical bearing capacity of pile using random-fuzzy entropy principle. Sixth International Conference on Natural Computation (ICNC 2010). Yantai, 2010: 4198-4193.
17. BANAYAR J R, MARITAN A, VOLKOV I. Applications of the principle of maximum entropy: from physics to ecology [J]. Journal of Physics: Condensed Mater, 2010, 22(6): 1-13.
18. ZHENG J J, XU Z J, LIU Y, MA Q. Reliability analysis for vertical bearing capacity of pile based on the maximum entropy principle [J]. Chinese Journal of Geotechnical Engineering, 2010, 32(11): 1643-1647. (in Chinese)
19. TAYLOR M E. Partial differential equation III: nonlinear equations [M]: New York: Springer Science & Business Media, LLC, 2011: 176-182.