High-order limit state functions in the response surface method for structural reliability analysis

Structural Safety

Volumn 30, Issue 2, 2008, Pages 162-179

  Gavin, Henri P ^a   Yau, Siu Chung ^a  

^a Duke University   (United States)

Author keywords

Chebyshev polynomial; Failure probability; Monte Carlo; Response surface; Statistical test; Structural reliability

Indexed keywords

CHEBYSHEV APPROXIMATION; COMPUTER SIMULATION; FAILURE ANALYSIS; MONTE CARLO METHODS; POLYNOMIAL APPROXIMATION;

FAILURE PROBABILITY; QUADRATIC POLYNOMIAL; STOCHASTIC RESPONSE SURFACE METHOD;

RELIABILITY ANALYSIS;

CHEBYSHEV APPROXIMATION; COMPUTER SIMULATION; FAILURE ANALYSIS; MONTE CARLO METHODS; POLYNOMIAL APPROXIMATION; RELIABILITY ANALYSIS;

EID: 36349014838     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2006.10.003     Document Type: Article

References (20)

1. Breitung K., and Faravelli L. Log-likelihood maximization and response surface reliability assessment. Nonlinear Dyn 4 (1994) 273-286
2. Breitung K., and Faravelli L. Response surface methods and asymptotic approximations. In: Casciati F., and Roberts B. (Eds). Mathematical models for structural reliability analysis (1996), CRC Press
3. Bucher C.G., and Bourgund U. A fast and efficient response surface approach for structural reliability problems. Struct Saf 7 (1990) 57-66
4. Cox D.C., and Baybutt P. Methods for uncertainty analysis: a comparative survey. Risk Anal 1 4 (1981) 251-258
5. Devore JL. Probability and statistics for engineering and the sciences, 6th ed. Brooks/Cole; 2004.
6. Draper N.R., and Smith H. Applied regression analysis. 3rd ed. (1998), John Wiley & Sons
7. Engelund, S, Rackwitz, R. Experiences with experimental design schemes for failure surface estimation and reliability. In: Proceedings of the sixth speciality conference on probabilistic mechanics and structural and geotechnical reliability. ASCE; 1992. p. 252-5.
8. Faravelli L. Response surface approach for reliability analysis. J Eng Mech, ASCE 115 12 (1989) 2763-2781
9. Guan X.L., and Melchers R.E. Effect of response surface parameter variation on structural reliability estimates. Struct Saf 23 (2001) 429-444
10. Gupta S., and Manohar C.S. An improved response surface method for the determination of failure probability and importance measures. Struct Saf 26 (2004) 123-139
11. Johnson, EA, Ramallo, JC, Spencer, BF, Sain MK. Intelligent base isolation systems. In: Proceedings of the second world conference on structural control, Kyoto Japan; June 21-July 1, 1998. p. 367-76.
12. Kim S.-H., and Na S.-W. Response surface method using vector projected sampling points. Struct Saf 19 (1997) 3-19
13. Khuri A.I., and Cornell J.A. Response surfaces designs and analyses. 2nd ed. (1996), Marcel Dekker
14. Liu V.W., and Moses F.A. A sequential response surface method and its application in the reliability analysis of aircraft structural systems. Struct Saf 16 (1994) 39-46
15. Melchers R.E. Structural reliability analysis and prediction. 2nd ed. (1999), John Wiley & Sons
16. Olivi L. Response surface methodology in risk analysis. In: Apostolakis G., Garribba S., and Volta G. (Eds). Synthesis and analysis methods for safety and reliability studies (1980), Plenum Press
17. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical recipes in c: the art of scientific computing. 2nd ed. (1992), Cambridge University Press
18. Rajashekhar M.R., and Ellingwood B.R. A new look at the response surface approach for reliability analysis. Struct Saf 12 (1993) 205-220
19. Thoft-Chiristensen P., and Baker M.J. Structural reliability theory and its applications (1982), Springer-Verlag
20. Wen Y.-K. Method for random vibration of hysteretic systems. J Eng Mech Div, ASCE 102 EM2 (1976) 249-263