Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design

[+] Author and Article Information
Xiaoping Du, Wei Chen

Department of Mechanical and Aerospace Engineering, University of Missouri-Rolla, Rolla, MO 65409–4494e-mail: dux@umr.eduDepartment of Mechanical Engineering, Northwestern University, Evanston, IL 60208-3111e-mail: weichen@northwestern.edu

J. Mech. Des 126(2), 225-233 (May 05, 2004) (9 pages) doi:10.1115/1.1649968 History: Received March 01, 2002; Revised May 01, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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Melchers, R. E., 1999, Structural Reliability Analysis and Prediction, John Wiley & Sons, Chichester, England.
Carter, A. D. S., 1997, Mechanical Reliability and Design, New York, Wiley.
Grandhi,  R. V., and Wang,  L. P., 1998, “Reliability-Based Structural Optimization Using Improved Two-Point Adaptive Nonlinear Approximations,” Finite Elem. Anal. Design, 29(1), pp. 35–48.
Wu, Y.-T., and Wang, W., 1996, “A New Method for Efficient Reliability-Based Design Optimization,” Probabilistic Mechanics & Structural Reliability: Proceedings of the 7th Special Conference, pp. 274–277.
Taguchi, G., 1993, Taguchi on Robust Technology Development: Bringing Quality Engineering Upstream, ASME Press, New York.
Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, NJ.
Parkinson,  A., Sorensen,  C., and Pourhassan,  N., 1993, “A General Approach for Robust Optimal Design,” ASME J. Mech. Des., 115(1), pp. 74–80.
Chen,  W., Allen,  J. K., Mistree,  F., and Tsui,  K.-L., 1996, “A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors,” ASME J. Mech. Des., 18(4), pp. 478–485.
Du,  X., and Chen,  W., 2002, “Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design,” AIAA J., 40(3), pp. 545–552.
Du,  X., and Chen,  W., 2000, “An Integrated Methodology for Uncertainty Propagation and Management in Simulation-Based Systems Design,” AIAA J., 38(8), pp. 1471–1478.
Wu,  Y. T., 1994, “Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis,” AIAA J., 32(8), pp. 1717–1723.
Tu,  J., Choi,  K. K., and Young,  H. P., 1999, “A New Study on Reliability-Based Design Optimization,” ASME J. Mech. Des., 121(4), pp. 557–564.
Du,  X., and Chen,  W., 2000, “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering,” ASME J. Mech. Des., 122(4), pp. 357–583.
Chen, X., and Hasselman, T. K., 1997, “Reliability Based Structural Design Optimization for Practical Applications,” 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference and Exhibit and AIAA/ASME/AHS Adaptive Structural Forum, Kissimmee, Florida.
Wu, Y.-T., Shin, Y., Sues, R., and Cesare, M., 2001, “Safety-Factor Based Approach for Probabilistic-based Design Optimization,” 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference and Exhibit, Seattle, Washington.
Sues, R. H., and Cesare, M., 2000, “An Innovative Framework for Reliability-Based MDO,” 41st AIAA/ASME/ASCE/AHS/ASC SDM Conference, Atlanta, GA.
Hasofer,  A. M., and Lind,  N. C., 1974, “Exact and Invariant Second-Moment Code Format,” J. Eng. Mech. Div., 100(EM1), pp. 111–121.
Du,  X., and Chen,  W., 2001, “A Most Probable Point Based Method for Uncertainty Analysis,” Journal of Design and Manufacturing Automation, 1 (1&2), pp. 47–66.
Reddy,  M. V., Granhdi,  R. V., and Hopkins,  D. A., 1994, “Reliability Based Structural Optimization: A Simplified Safety Index Approach,” Comput. Struct., 53(6), pp. 1407–1418.
Wang,  L., Grandhi,  R. V., and Hopkins,  D. A., 1995, “Structural Reliability Optimization Using An Efficient Safety Index Calculation Procedure,” Int. J. Numer. Methods Eng., 38(10), pp. 171–1738.
Choi, K. K., and Youn, B. D., 2001, “Hybrid Analysis Method for Reliability-Based Design Optimization,” 2002 ASME International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference, Pittsburgh, Pennsylvania.
Du, X., Sudjianto, A., and Chen, W., 2003, “An Integrated framework for Optimization under Uncertainty Using Inverse Reliability Strategy,” DETC2003/DAC-48706, 2003 ASME International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference, Chicago, Illinois.
Yang, R. J., Gu, L., Liaw, L., Gearhart, and Tho, C. H., 2000, “Approximations for Safety Optimization of Large Systems,” DETC-2000/DAC-14245, 2000 ASME International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference, Baltimore, MD.
Gu,  L., Yang,  R. J., Tho,  C. H., Makowski,  M., Faruque,  O., and Li,  Y., 2001, “Optimization and Robustness for Crashworththiness of Side Impact,” Int. J. Veh. Des., 25(4), pp. 348–360.
Golinski,  J., 1970, “Optimal Synthesis Problems Solved by Means of Nonlinear Programming and Random Methods,” ASME J. Mech. Des., 5(4), pp. 287–309.
Golinski,  J., 1973, “An Adaptive Optimization System Applied to Machine Synthesis,” Mech. Mach. Theory, 8(4), pp. 419–436.
Li, W., 1989, “Monoticity and Sensitivity Analysis in Multi-Level Decomposition-Based Design Optimization,” Ph.D. dissertation, University of Maryland.
Datseris,  P., 1982, “Weight Minimization of a Speed Reducer by Heuristic and Decomposition Techniques,” Mech. Mach. Theory, 17(4), pp. 255–262.
Azarm,  S., and Li,  W.-C., 1989, “Multi-Level Design Optimization Using Global Monotonicity Analysis,” ASME J. Mech. Transm., Autom. Des., 111(2), pp. 259–263.
Renaud, J. E., 1993, “Second Order Based Multidisciplinary Design Optimization Algorithm Development,” American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, Vol. 65, pt. 2, Advances in Design Automation, pp. 347–357.
Boden,  Harald, and Grauer,  Manfred, 1995, “OpTiX-II: A Software Environment for the Parallel Solution of Nonlinear Optimization Problems,” Ann. Operat. Res., 58, pp. 129–140.
Du, X., and Chen, W., 2002, “Collaborative Reliability Analysis for Multidisciplinary Systems Design,” 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA.


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Convergence history of the object
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