Handling equality constraints in robust design optimization

44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

Volumn , Issue , 2003, Pages

  Mattson, Christopher A ^a   Messac, Achille ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT TYPES; DESIGN OPTIMIZATION; EQUALITY CONSTRAINTS; EQUALITY-CONSTRAINED PROBLEM; OPTIMAL PERFORMANCE; PERFORMANCE STABILITY; ROBUST DESIGN OPTIMIZATION; STRUCTURAL OPTIMIZATION PROBLEMS;

STOCHASTIC SYSTEMS; STRUCTURAL DYNAMICS;

OPTIMIZATION;

EID: 84896694046     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. Koch, P. N., "Probabilistic Design: Optimizing for Six Sigma Quality, " AIAA 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper Number AIAA-2002-1471, April 2002.
2. Balling, R. J., Free, J. C., and Parkinson, A. R., "Consideration of Worst-Case Manufacturing Tolerances in Design Optimization, " ASME Journal of Mechanical Design, Vol. 108, 1986, pp. 438-441.
3. Parkinson, A., Sorensen, C., and Pourhassan, N., "A General Approach for Robust Optimal Design, " ASME Journal of Mechanical Design, Vol. 115, 1993, pp. 74-80.
4. Otto, K. N. and Antonsson, E. K., "Extensions to the Taguchi Method of Product Design, " ASME Design Theory and Methodology, Vol. DE-Vol. 31, 1999, pp. 21-30.
5. Taguchi, G., Introduction to Quality Engineering, Krauss International Publications, White Plains, NY, 1986.
6. Taguchi, G., System of Experimental Design, Krauss International Publications, White Plains, NY, 1987.
7. Ramakrishnan, B. and Rao, S. S., "A Robust Optimization Approach Using Taguchi's Loss Function for Solving Nonlinear Optimization Problems, " ASME Advanced in Design Automation, Vol. DE-Vol. 32-1, 1991, pp. 241-248.
8. Li, H. and Azarm, S., "Product Design Selection Under Uncertainty andWith Competitive Advantage, " ASME Journal of Mechanical Design, Vol. 122, 2000, pp. 411-418.
9. Tu, J., Choi, K. K., and Park, Y. H., "A New Study of Reliability-Based Optimization, " ASME Journal of Mechanical Design, Vol. 121, Dec 1999, pp. 557-564.
10. Du, X. and Chen, W., "Methodology for Managing the Effect of Uncertainty in Simulation-Based Design, " AIAA Journal, Vol. 38, No. 8, Aug 2000.
11. Du, X. and Chen, W., "Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design, " ASME Journal of Mechanical Design, Vol. 122, Dec 2001, pp. 385-394.
12. Giunta, A., Eldred, M., Trucano, T., and Wojtkiewicz, S., "Optimization under Uncertainty Methods for Computational Shock Physics Applications, " AIAA 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper Number AIAA-2002-1642, Apr 2002.
13. Jensen, H. A., "Reliability-Based Optimization of Uncertain Systems in Structural Dynamics, " AIAA Journal, Vol. 40, No. 4, April 2002.
14. Wang, L. and Kodialyam, S., "An Efficient Method for Probabilistic and Robust Design with Non-normal Distributions, " AIAA 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper Number AIAA-2002-1754, Apr 2002.
15. Chen, W., Sahai, A., Messac, A., and Sundaraj, G. J., "Exploring the Effectiveness of Physical Programming in Robust Design, " ASME Journal of Mechanical Design, Vol. 122, No. 2, June 2000, pp. 155-163.
16. Huyse, L., "Solving Problems of Optimization Under Uncertainty as Statistical Decision Problems, " AIAA 42nd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper Number AIAA-2001-1519, Apr 2001.
17. Su, J. and Renaud, J. E., "Automatic Differentiation in Robust Optimization, " AIAA Journal, Vol. 35, No. 6, 1997, pp. 1072-1079.
18. Fares, B., Noll, D., and Apkarian, P., "Robust Control Via Sequential Semidefinite Programming, " SIAM Journal of Control and Optimization, Vol. 40, No. 6, 2002, pp. 1791-1820.
19. Messac, A. and Ismail-Yahaya, A., "Multiobjective Robust Design using Physical Programming, " Structural and Multidisciplinary Optimization, Vol. 23, No. 5, 2002, pp. 357-371.
20. Sundaresan, S. Ishi, K. and Houser, D. R., "A Robust Optimization Procedure with Variations on Design Variables and Constraints, " ASME Advanced in Design Automation, Vol. DEVol. 65-1, 1993.
21. Putko, M. M., Newman, P. A., Taylor, A. C., and Green, L. L., "Approach for Uncertainty Propagation and Robust Design in CFD Using Sensitivity Derivatives, " AIAA 42nd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper Number AIAA-2001-2528, Apr 2001.
22. Das, I., "Robust Optimization for Constrained, Nonlinear Programming Problems, " Engineering Optimization, Vol. 32, No. 5, June 2000, pp. 585-618.