0
TECHNICAL PAPERS

An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy

[+] Author and Article Information
Xiaoping Du

Department of Mechanical and Aerospace Engineering, University of Missouri–Rolla, Rolla, MO 65409e-mail: dux@umr.edu

Agus Sudjianto

Ford Motor Company, Dearborn, MI 48121-4091e-mail: asudjian@ford.com

Wei Chen

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208-3111e-mail: weichen@northwestern.edu

J. Mech. Des 126(4), 562-570 (Aug 12, 2004) (9 pages) doi:10.1115/1.1759358 History: Received January 01, 2003; Revised January 01, 2004; Online August 12, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

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.
Melchers, R. E., 1999, Structural Reliability Analysis and Prediction, John Wiley & Sons, Chichester, England.
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.
Parkinson,  A., Sorensen,  C., and Pourhassan,  N., 1993, “A General Approach for Robust Optimal Design,” ASME J. Mech. Des., 115(1), pp. 74–80.
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.
McAllister,  C. D., and Simpson,  T. W., 2003, “Multidisciplinary Robust Design Optimization of an Internal Combustion Engine,” ASME J. Mech. Des., 125(1), pp. 124–130.
Suri,  R., and Otto,  K., 2001, “Manufacturing System Robustness Through Integrated Modeling,” ASME J. Mech. Des., 123(4), pp. 630–636.
Zhang,  J., Wiecek,  M. M., and Chen,  W., 2000, “Local Approximation of the Efficient Frontier in Robust Design,” ASME J. Mech. Des., 122(2), pp. 232–236.
Chen,  W., Sahai,  A., Messac,  A., and Sundararaj,  G. J., 2000, “Exploration of the Effectiveness of Physical Programming in Robust Design,” ASME J. Mech. Des., 122(2), pp. 155–163.
Wu,  Y.-T., Millwater,  H. R., and Cruse,  T. A., 1990, “An Advance Probabilistic Analysis Method for Implicit Performance Function,” AIAA J., 28(9), pp. 1663–1669.
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.
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.
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.
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, FL.
Wu,  Y.-T., and Wang,  W., 1998, “Efficient Probabilistic Design by Converting Reliability Constraints to Approximately Equivalent Deterministic Constraints,” Journal of Integrated Design and Process Sciences, 2(4), pp. 13–21.
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.
Du,  X, and Chen,  W., 2002, “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,” DETC-DAC34127, 2002 ASME J. Mech. Des, 126(2), pp. 225–233.
Wang, W., and Wu, J., 1998, “Reliability-Based Robust Design,” Proceedings of the 39th Structural Dynamics and Materials Conference, AIAA-98-2052, pp. 2,956–2,964.
Koch, P. N., 2002, “Probabilistic Design: Optimizing for Six Sigma Quality,” 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Denver, Colorado, AIAA-2002-1471.
Der Kiureghian,  A., Zhang,  Y., and Li,  C. C., 1994, “Inverse Reliability Problem,” ASCE Journal of Engineering Mechanics, 120(5), pp. 1150–1159.
Li,  H., Foschi,  R. O., 1998, “An Inverse Reliability Method and Its Application,” Structural Safety, 20(3), pp. 257–270.
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.
Chen,  W., Wiecek,  M., and Zhang,  J., 1999, “Quality Utility: A Compromise Programming Approach to Robust Design,” ASME J. Mech. Des., 121(2), pp. 179–187.
Ditlevsen, O., and Madsen, H. O., 1996, Structural Reliability Methods, John Wiley & Sons, Baffins Lane, England.
Rosenblatt,  M., 1952, “Remarks on a Multivariate Transformation,” Ann. Math. Stat., 23, pp. 470–472.
Hasofer,  A. M., and Lind,  N. C., 1974, “Exact and Invariant Second-Moment Code Format,” Journal of the Engineering Mechanics Division, 100(EMI), pp. 111–121.
Onwubiko, C. O., 1999, Introduction to Engineering Design Optimization, Prentice Hall.
Du,  X., and Chen,  W., 2001, “A Most Probable Point Based Method for Uncertainty Analysis,” Journal of Design and Manufacturing Automation, 4, pp. 47–66.
Youn,  B. D., Choi,  K. K., and Park,  Y. H., 2003, “Hybrid Analysis Method for Reliability-Based Design Optimization,” ASME J. Mech. Des., 125(2), pp. 221–232.
de Luca, Julio Cesar, and Gerges, Samyr N. Y., 1996, “Piston Slap Excitation: Literature Review,” SAE Paper No. 962395.
Hoffman, R. M., Sudjianto, A., Du, X., and Stout, J., 2003, “Robust Piston Design and Optimization Using Piston Secondary Motion Analysis,” SAE 2003 World Congress, Detroit, Michigan.

Figures

Grahic Jump Location
The concept of reliability
Grahic Jump Location
An α-percentile of a constraint function
Grahic Jump Location
Percentile difference for shrinking the distribution
Grahic Jump Location
Inverse most probable point
Grahic Jump Location
MPP-based compound noise setting

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In