Reducible uncertain interval design by kriging metamodel assisted multi-objective optimization

Journal of Mechanical Design

Volumn 133, Issue 1, 2011, Pages

  Hamel, Joshua M ^a   Azarm, Shapour ^b  

^a CALIFORNIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION; PARETO PRINCIPLE; UNCERTAINTY ANALYSIS;

DESIGN SOLUTIONS; DESIGN UNDER UNCERTAINTY; ENGINEERING DESIGN PROBLEMS; FORCINGS; INPUT PARAMETER; INPUT UNCERTAINTY; KRIGING META MODELS; MULTI-OBJECTIVES OPTIMIZATION; PROBABILITY: DISTRIBUTIONS; UNCERTAINTY;

MULTIOBJECTIVE OPTIMIZATION;

EID: 78650880805     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4002974     Document Type: Article

References (25)

1. Simpson, T. W., Torpov, V., Balabanov, V., and Viana, F. A. C., 2008, "Design and Analysis of Computer Experiments in Multidisciplinary Design Optimization: A Review of How Far We Have Come-or Not," Proceedings of the 12th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Victoria, BC, Canada.
2. Schueller, G. I., and Jensen, H. A., 2008, "Computational Methods in Optimization Considering Uncertainties-An Overview," Comput. Methods Appl. Mech. Eng., 198(1), pp. 2-13.
3. Benanzer, T. W., Grandhi, R. V., and Krol, W. P., 2009, "Reliability-Based Optimization of Design Variance to Identify Critical Tolerances," Adv. Eng. Software, 40, pp. 305-311.
4. Youn, B. D., and Wang, P., 2008, "Bayesian Reliability-Based Design Optimization Using Eigenvector Dimension Reduction (EDR) Method," Struct. Multidiscip. Optim., 36(2), pp. 107-123.
5. Liu, H., Chen, W., and Sudjianto, A., 2006, "Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design," ASME J. Mech. Des., 128(2), pp. 326-336.
6. Mourelatos, Z. P., and Zhou, J., 2006, "A Design Optimization Method Using Evidence Theory," ASME J. Mech. Des., 128(4), pp. 901-908.
7. Zhou, J., and Mourelatos, Z. P., 2008, "A Sequential Algorithm for Possibility- Based Design Optimization," ASME J. Mech. Des., 130(1), p. 011001.
8. Liao, Y. S., and Chiou, C. Y., 2008, "Robust Optimum Designs of Fibre- Reinforced Composites With Design-Variable and Non-Design-Variable Uncertainties," Proc. Inst. Mech. Eng., Part L: Journal of Materials: Design and Applications, 222(2), pp. 111-121.
9. Hamel, J., Li, M., and Azarm, S., 2010, "Design Improvement by Sensitivity Analysis Under Interval Uncertainty Using Multi-Objective Optimization," ASME J. Mech. Des., 132(8), p. 081010.
10. Li, M., Williams, N., and Azarm, S., 2009, "Interval Uncertainty Reduction and Single-Disciplinary Sensitivity Analysis With Multi-Objective Optimization," ASME J. Mech. Des., 131(3), p. 031007.
11. Thunnissen, D. P., 2003, "Uncertainty Classification for the Design and Development of Complex Systems," Proceedings of the Third Annual Predictive Methods Conference, Newport Beach, CA.
12. Du, X., 2008, "Unified Uncertainty Analysis by the First Order Reliability Method," ASME J. Mech. Des., 130(9), p. 091401.
13. Gunawan, S., and Papalambros, P. Y., 2006, "A Bayesian Approach to Reliability-Based Optimization With Incomplete Information," ASME J. Mech. Des., 128(4), pp. 909-918. (Pubitemid 44123180)
14. Wu, W. D., and Rao, S. S., 2007, "Uncertainty Analysis and Allocation of Joint Tolerances in Robot Manipulators Based on Interval Analysis," Reliab. Eng. Syst. Saf., 92(1), pp. 54-64.
15. Li, M., Williams, N., Azarm, S., Al Hashimi, S., Almansoori, A., and Al Qasas, N., 2009, "Integrated Multi-Objective Robust Optimization and Sensitivity Analysis With Irreducible and Reducible Interval Uncertainty," Eng. Optimiz., 41(10), pp. 889-908.
16. Qiu, Z., Ma, L., and Wang, X., 2009, "Non-Probabilistic Interval Analysis Method for Dynamic Response Analysis of Nonlinear Systems With Uncertainty," J. Sound Vib., 319, pp. 531-540.
17. Beyer, H.-G., and Sendhoff, B., 2007, "Robust Optimization-A Comprehensive Survey," Comput. Methods Appl. Mech. Eng., 196(33-34), pp. 3190- 3218.
18. Qu, X., Haftka, R. T., Venkataraman, S., and Johnson, T. F., 2003, "Deterministic and Reliability-Based Optimization of Composite Laminates for Cryogenic Environments," AIAA J., 41(10), pp. 2029-2036.
19. Kale, A. A., and Haftka, R. T., 2008, "Tradeoff of Weight and Inspection Cost in Reliability-Based Structural Optimization," J. Aircr., 45(1), pp. 77-85.
20. Miettinen, K., 1999, Nonlinear Multi-Objective Optimization, Kluwer, Norwell, MA.
21. Deb, K., 2001, Multi-Objective Optimization Using Evolutionary Algorithms, Wiley, West Sussex, UK.
22. Martin, J. D., and Simpson, T. W., 2005, "Use of Kriging Models to Approximate Deterministic Computer Models," AIAA J., 43(4), pp. 853-863.
23. Arora, J. S., 2004, Introduction to Optimum Design, 2nd ed., Elsevier, San Diego, CA.
24. Magrab, E. B., Azarm, S., Balachandran, B., Duncan, J. H., Herold, K. E., and Walsh, G. C., 2005, An Engineer's Guide to MATLAB, 2nd ed., Prentice-Hall, Upper Saddle River, NJ.
25. Hamel, J., and Azarm, S., 2010, "Reducible Uncertain Interval Design (RUID) by Kriging Meta-Model Assisted Multi-Objective Optimization," Proceedings of ASME IDETC/CIE Conference, Montreal, Canada, August.