Alternative methods for reliability-based robust design optimization including dimension reduction method

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2006, Issue , 2006, Pages

  Lee, Ikjin ^a   Choi, Kyung K ^a   Du, Liu ^a  

^a IA United States   (United States)

Author keywords

Dimension Reduction Method (DRM); Percentile Difference Method (PDM); Performance Moment Integration (PMI); Reliability Based Robust Design Optimization (RBRDO); Sensitivity analysis

Indexed keywords

CONSTRAINT THEORY; DESIGN; FUNCTION EVALUATION; OPTIMIZATION; PROBABILISTIC LOGICS; QUALITY CONTROL; RELIABILITY THEORY;

PERCENTILE DIFFERENCE METHOD (PDM); PROBABILISTIC CONSTRAINTS; PRODUCT QUALITY; QUALITY LOSS FUNCTION; RELIABILITY-BASED ROBUST DESIGN OPTIMIZATION (RBRDO);

ROBUSTNESS (CONTROL SYSTEMS);

EID: 33751332312     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2006-99732     Document Type: Conference Paper

References (25)

1. Kalsi, M., Hacker, K., and Lewis, K., "A Comprehensive Robust Design Approach for Decision Trade-Offs in Complex Systems Design," ASME Journal of Mechanical Design, Vol. 123, No. 1, pp. 1-10, 2001.
2. Su, J., and Renaud, J. E., "Automatic Differentiation in Robust Optimization," AIAA Journal, Vol. 35, No. 6, pp. 1072-1079, 1997.
3. Du, X., and Chen, W., "A Most Probable Point-Based Method for Efficient Uncertainty Analysis," Journal of Design and Manufacturing Automation, Vol. 4, No. 1, pp. 47-66, 2001.
4. Youn, B. D., Choi, K. K., and Du, Liu, "Adaptive Probability Analysis Using An Enhanced Hybrid Mean Value (HMV+) Method," Journal of Structural and Multidisciplinary Optimization, Vol. 29, No. 2, pp. 134-148, 2005.
5. Youn, B. D., Choi, K. K., and Du, L., "Enriched Performance Measure Approach (PMA+) for Reliability-Based Design Optimization," AIAA Journal, Vol. 43, No. 4, pp. 874-884, 2005.
6. Du, X., Sudjianto, A., and Chen, W., "An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy," ASME Journal of Mechanical Design, Vol 126, No. 4, pp. 562-570, 2004.
7. Mourelatos, Z. P. and Liang, J., "A Methodology for Trading-off Performance and Robustness under Uncertainty," Proceedings of ASME Design Engineering Technical Conferences (DETC), Paper # DETC2005-85019, 2005.
8. Youn, B. D., Choi, K. K., and Yi, K., "Performance Moment Integration (PMI) Method for Quality Assessment in Reliability-Based Robust Optimization," Mechanics Based Design of Structures and Machines, Vol. 33, No. 2, pp. 185-213, 2005.
9. Chandra, M. J., Statistical Quality Control, CRC Press, Chapter 3, Boca Raton, FL, 2001.
10. Taguchi, G., Elsayed, E., and Hsiang, T., Quality Engineering in Production Systems, McGraw-Hill, Chapter 2 and 3, New York, NY, 1989.
11. Buranathiti, T., Cao, J., and Chen, W., "A Weighted Three-Point-Based Strategy for Variance Estimation," Proceedings of ASME Design Engineering Technical Conferences (DETC), Paper # DETC2004-57363, 2004.
12. Lin, C. Y., Huang, W. H., Jeng, M. C., and Doong, J. L., "Study of an Assembly Tolerance Allocation Model Based on Monte Carlo Simulation," Journal of Materials Processing Technology, Vol. 70, pp. 9-16, 1997.
13. Rubinstein, R. Y., Simulation and Monte Carlo Method, John Wiley & Sons, New York, 1981.
14. Walker, J. R., "Practical Application of Variance Reduction Techniques in Probabilistic Assessments," the Second International Conference on Radioactive Waste Management. Winnipeg, Manit, Canada, pp. 517-521, 1986.
15. nd MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, July 17-20, 2003.
16. Xu, H., and Rahman, S., "A Generalized Dimension-Reduction Method for Multi-dimensional Integration in Stochastic Mechanics," International Journal for Numerical Methods in Engineering, Vol 61, No. 12, pp. 1992-2019, 2004.
17. Marler, R. T., and Arora, J. S., "Survey of Multi-objective Optimization Methods for Engineering", Structural and Multidisciplinary Optimization, Vol. 26, No. 6, pp. 369-395, 2004.
18. Du, X., and Huang, B., "Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations," Proceedings of ASME Design Engineering Technical Conferences (DETC), Paper # DETC2005-84523, 2005.
19. Xu, H., and Rahman, S., "A Univariate Dimension-Reduction Method for Multi-dimensional Integration in Stochastic Mechanics," Probabilistic Engineering Mechanics, Vol. 19, No. 4, pp. 393-408, 2004.
20. Atkinson K. E., An Introduction to Numerical Analysis, John Wiley & Sons, Chapter 5, New York, NY, 1989.
21. Rosenblatt, M., "Remarks on A Multivariate Transformation," Annal of Mathematical Statistics, Vol. 23, pp. 470-472, 1952.
22. th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Paper # AIAA2002-5532, Atlanta, Georgia, Sep. 4-6, 2002.
23. Haldar, A., and Mahadevan, S., Probability, Reliability and Statistical Methods in Engineering Design, John Wiley & Sons, New York, NY, 2000.
24. Palle, T. C., and Michael, J. B., Structural Reliability Theory and Its Applications, Springer-Verlag, Berlin, Heidelberg, 1982.
25. Youn, B. D., Choi, K. K., Yang, R. -J., and Gu, L., "Reliability- Based Design Optimization for Crash-worthiness of Vehicle Side Impact," Structural Multidisciplinary Optimization, Vol. 26, No. 3-4, pp. 272-283, 2004.