Bayesian reliability-based design optimization using eigenvector dimension reduction (EDR) method

Structural and Multidisciplinary Optimization

Volumn 36, Issue 2, 2008, Pages 107-123

  Youn, Byeng D ^a   Wang, Pingfeng ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Bayesian; Eigenvector dimension reduction; Epistemic; RBDO; Uncertainty

Indexed keywords

AEROSPACE APPLICATIONS; ARCHITECTURAL DESIGN; BAYESIAN NETWORKS; COMPUTER NETWORKS; EIGENVALUES AND EIGENFUNCTIONS; MOORING; NUMBER THEORY; NUMERICAL METHODS; OCEAN STRUCTURES; OPTIMIZATION; RELIABILITY; RELIABILITY ANALYSIS; SENSITIVITY ANALYSIS; SET THEORY; STEEL STRUCTURES; STRUCTURAL ANALYSIS; SYSTEMS ENGINEERING; TECHNOLOGY; UNCERTAINTY ANALYSIS;

(E ,3E) PROCESS; BAYES' THEOREM; BAYESIAN; BAYESIAN RELIABILITY; DATA SETS; DESIGN OPTIMIZATION (DO); DESIGN PROBLEMS; DIMENSION REDUCTION (DR); EIGEN VECTORS; EPISTEMIC UNCERTAINTIES; FORM/SORM; PRACTICAL ENGINEERING; RELIABILITY BASED DESIGN OPTIMIZATION (RBDO); RELIABILITY METHODS; RELIABILITY PREDICTIONS; SECOND ORDER RELIABILITY METHOD (SORM); SPRINGER (CO); STATISTICAL DISTRIBUTIONS; SYSTEM UNCERTAINTIES;

QUALITY ASSURANCE;

EID: 46649099909     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-007-0202-7     Document Type: Article

References (30)

1. Chen X, Hasselman TK, Neill DJ (1997) Reliability-based structural design optimization for practical applications. In: Proceedings of the 38th AIAA SDM Conference, AIAA-97-1403, Kissimmee, 8 April 1997
2. Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126(2):225-233
3. Du X, Sudjianto A, Chen W (2004) An integrated framework for optimization under uncertainty using inverse reliability strategy. J Mech Des 126(4):561-764
4. Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. Wiley, New York
5. Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech Div 100(EMI):111-121
6. Hazelrigg GA (1998) A framework for decision-based engineering design. J Mech Des 120:653-658
7. Johnson NL, Kotz S, Balakrishnan N (1995) Continuous univariate distributions. Wiley, New York
8. Li GY, Wu Q-G, Zhao YH (2002) On Bayesian analysis of binomial reliability growth. J Jpn Statist Soc 32(1):1-14
9. Liu PL, Kiureghian AD (1991) Optimization algorithms for structural reliability. Struct Saf 9:161-177
10. Madsen HO, Krenk S, Lind NC (1986) Methods of structural safety. Prentice-Hall, Englewood Cliffs
11. Myers HR, Montgomery DC (1995) Response surface methodology. Wiley, New York
12. Palle TC, Michael JB (1982) Structural reliability theory and its applications. Springer, Berlin Heidelberg New York
13. Rahman S, Xu H (2004a) A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics. Probab Eng Mech 19:393-408
14. Rahman S, Xu H (2004b) Decomposition methods for structure reliability analysis. Probab Eng Mech 20(2005):239-250
15. Rao SS (1992) Reliability-based design. McGraw-Hill, New York
16. Wang LP, Grandhi RV (1994) Efficient safety index calculation for structural reliability analysis. Comput Struct 52(1):103-111
17. Wang LP, Grandhi RV (1996) Safety index calculation using intervening variables for structural reliability. Comput Struct 59(6):1139-1148
18. Wang L, Kodiyalam S (2002) An efficient method for probabilistic and robust design with non-normal distributions. In: Proceedings of the 43rd AIAA SDM Conference, Denver, 22-25 April 2002
19. Wu YT (1994) Computational methods for efficient structural reliability and reliability sensitivity analysis. AIAA J 32(8):1717-1723
20. Wu YT, Millwater HR, Cruse TA (1990) Advanced probabilistic structural analysis method for implicit performance functions. AIAA J 28(9):1663-1669
21. Wu Y-T, Shin Y, Sues RH, Cesare MA (2001) Safety-factor based approach for probability-based design optimization. AIAA-2001-1522. In: Proceedings of the 42nd AIAA/ASME/ASC /AHS/ASC SDM Conference & Exhibit, Seattle, April 2001
22. Youn BD, Choi KK (2004) A new response surface methodology for reliability based design optimization. Comput Struct 82:241-256
23. Youn BD, Choi KK, Park YH (2003) Hybrid analysis method for reliability-based design optimization. J Mech Des 125(2):221-232
24. Youn BD, Choi KK, Gu L, Yang R-J (2004) Reliability-based design optimization for crashworthiness of side impact. J Struct Multidiscip Optim 26(3-4):272-283
25. Youn BD, Choi KK, Du L (2005a) Adaptive probability analysis using an enhanced hybrid mean value (HMV+) method. J Struct Multidiscip Optim 29(2):134-148
26. Youn BD, Choi KK, Du L (2005) Enriched performance measure approach (PMA+) for reliability-based design optimization. AIAA J 43(4):874-884
27. Youn BD, Zhimin X, Wells L, Lamb D (2006b) The enhanced dimension-reduction method for reliability-based robust design optimization. In: AIAA-MAO, AIAA-2006-6977, Portsmouth, 6-8 September 2006
28. Youn BD, Zhimin X, Wang P (2007) The Eigenvector dimension-reduction (EDR) method for sensitivity-free uncertainty quantification. Struct Multidiscipl Optim DOI 10.1007/s00158-007-0210-7
29. Zhang R, Mahadevan S (2000) Model uncertainty and Bayesian updating in reliability-based inspection. Struct Saf 22:145-160
30. Zhimin X, Youn BD, Gorsich DA (2007) Reliability-based robust design optimization using the EDR method. In: Proceedings of the SAE 2007 World Congress, Detroit, 16-19 April 2007