Sensitivity-free approach for Reliability-Based Robust Design Optimization

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 6 PART B, Issue , 2008, Pages 1309-1320

  Youn, Byeng D ^a   Xi, Zhimin ^a   Wells, Lee J ^a   Gorsich, David J ^b  

^a Michigan Technological University   (United States)

^b US Army Tank Automotive Command   (United States)

Author keywords

Eigenvector dimension reduction; Robust design optimization; Sensitivity free

Indexed keywords

DESIGN AUTOMATION CONFERENCE (DAC); DIMENSION REDUCTION (DR); EIGEN VECTORS; INTERNATIONAL DESIGNS; PRACTICAL ENGINEERING PROBLEMS; PROBABILITY ANALYSIS; QUALITY ASSESSMENTS; RELIABILITY BASED ROBUST DESIGN; SECOND ORDER RELIABILITY METHOD (SORM); SIDE IMPACTS; TECHNICAL CONFERENCES;

AEROSPACE APPLICATIONS; ARCHITECTURAL DESIGN; AUTOMATION; COMPUTER AIDED DESIGN; COMPUTER NETWORKS; COMPUTERS; ENGINEERING; INDUSTRIAL ENGINEERING; MECHANIZATION; OPTIMIZATION; PROBABILITY; QUALITY ASSURANCE; RELIABILITY; RELIABILITY ANALYSIS; RISK ASSESSMENT; ROBOTICS; SENSITIVITY ANALYSIS; TECHNOLOGY;

QUALITY CONTROL;

EID: 44949134986     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-35619     Document Type: Conference Paper

References (26)

1. Varghese, P., Braswell, R.N., Wang, B., and Zhang, C., 1996, "Statistical Tolerance Analysis Using FRPDF and Numerical Convolution," Computer-Aided Design, Vol. 28, No. 9, pp. 723-732.
2. Lin, C. Y., Huang, W. H., Jeng, M. C., Doong, J. L., 1997, "Study of an assembly tolerance allocation model based on Monte Carlo simulation," Journal of Materials Processing Technology, 70, pp. 9-16.
3. Niederreiter H., Spanier J. Monte Carlo and quasi-Monte Carlo methods. Berlin: Springer; 2000.
4. Sobol IM. On quasi-Monte Carlo integrations. Math Computers Simul.,1998;47:103-12.
5. Engelund S., Rackwitz R. A benchmark study on importance sampling techniques in structural reliability. Struct Safety 1993;12:255-76.
6. Melchers, R. E., "Importance Sampling in Structural Systems," Structural Safety, Vol. 6, pp. 6-10, 1989.
7. Bucher, C. G., "Adaptive Sampling - An Iterative Fast Monte Carlo Procedure," Structural Safety, Vol. 5, pp. 119-126, 1988.
8. Wu, Y.-T., "Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis," AIAA Journal, Vol. 32, No. 8, 1994.
9. Bjerager P. Probability integration by directional simulation. ASCE J Engng Mech 1988;114:1285-302.
10. Jung, D.H., and Lee, B.C., 2002, "Development of a Simple and Efficient Method for Robust Optimization," International Journal for Numerical Methods in Engineering, Vol. 53, pp. 2201-2215.
11. Kleiber, M., Hien T.D., "The Stochastic Finite Element Method," New York, NY, Wiley, 1992.
12. Rahman, S., Rao, B.N., 2001, "A Perturbation Method for Stochastic Meshless Analysis in Elastostatics," Int. J. Numer. Meth. Engng, Vol. 50, pp. 1961-1991.
13. Yamazaki, F., Shinozuka, M., 1988, "Neumann Expansion for Stochastic Finite Element Analysis," Journal of Engineering Mechanics, ASCE, Vol. 114, pp. 1335-1354.
14. Hasofer, A.M., and Lind, N.C., 1974, "Exact and Invariant Second-Moment Code Format," Journal of the Engineering Mechanics, ASCE, Vol. 100, pp. 111-121.
15. Youn, B.D., Choi, K.K., and Du, Liu, 2004, "Adaptive Probability Analysis Using An Enhanced Hybrid Mean Value (HMV+) Method," Journal of Structural and Multidisciplinary Optimization, Vol. 28, No. 4, pp. 319-333.
16. Du, X., and Chen, W., 2002, "Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design," DETC-DAC34127, ASME Design Engineering Technical Conferences, Montreal, Canada, September.
17. Rahman, S. and Xu, H., 2004, "A Univariate DimensionReduction Method for Multi-Dimensional Integration in Stochastic Mechanics," Probabilistic Engineering Mechanics, Vol. 19, pp. 393-408.
18. th World Congress of Structural and Multidisciplinary Optimization, Lodo do Jesolo, Italy, May 19-23.
19. Youn, B.D., Choi, K.K., and K. Yi, 2005, "Performance Moment Integration for Quality Assessment in Reliability-Based Robust Design Optimization," Mechanics Based Design of Structures and Machines, Vol. 33, pp. 185-213.
20. Xu, H., and Rahman, S., 2004, "A Generalized Dimension-Reduction Method for Multidimensional Integration in Stochastic Mechanics," International Journal for Numerical Method in Engineering, Vol. 61, pp. 1992-2019.
21. Youn, B.D., and Choi, K.K., "A New Response Surface Methodology for Reliability-Based Design Optimization," Computers and Structures, Vol. 82, pp. 241-256, 2004.
22. Myers, H.R., Montgomery, D.C., Response Surface Methodology, New York, Wiley, 1995.McAllister, C.D., and Simpson, T.W., 2003, "Multidisciplinary Robust Design Optimization of an Internal Combustion Engine," Vol. 125, No. 2, pp. 124-130.
23. Rackwitz, R., and Fiessler, B., 1978, "Structural Reliability Under Combined Random Load Sequences," Comput. Struct., 9, pp. 489-494.
24. Johnson NL, Kotz S., Balakrishnan N. Continuous univariate distributions. New York: Wiley; 1995.
25. Youn, B.D., Xi, Z., Wells, L.J., and Wang, P., 2006, "Enhanced Dimension Reduction (eDR) Method for Sensitivity-Free Uncertainty Quantification," 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth. Virginia, September.
26. Youn, B.D., Choi, K.K., Gu, L., and Yang, Ren-Jye, "Reliability- Based Design Optimization for Crashworthiness of Side Impact," Journal of Structural and Multidisciplinary Optimization, 26 (3-4), pp. 272-283, 2004