This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
An Enriched Performance Measure Approach (PMA+) for Reliability-Based Design Optimization Process
Technical Paper
2004-01-1284
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
This paper presents an enriched performance measure approach (PMA+) for reliability-based design optimization (RBDO) to substantially improve computational efficiency when applied to large-scale applications. Three aspects of PMA+ are presented: as a way to launch RBDO at a deterministic optimum design, as an efficient probabilistic feasibility check, and as a fast reliability analysis under the condition of design closeness. It is found that deterministic design optimization helps improve numerical efficiency by reducing some RBDO iterations. Unlike deterministic design optimization, a significant computational burden is imposed on the feasibility check of constraints in the RBDO process due to the costs of a reliability analysis. Such difficulties can be effectively resolved by using a mean value (MV) first-order method with an allowable accuracy for the purpose of feasibility identification, and by carrying out the refined reliability analysis using the hybrid mean value (HMV) first-order method for ε-active and violate constraints in the RBDO process. In addition, the fast reliability analysis method is proposed by reusing some of the information obtained at the previous RBDO iteration to efficiently evaluate probabilistic constraints at the current design iteration under the condition of design closeness. Other RBDO methods have recently been developed to enhance numerical efficiency of RBDO while maintaining numerical accuracy and stability. Thus, the PMA+ is compared to existing RBDO methods from a numerical efficiency and stability point of view. For a numerical understanding of the RBDO process, several numerical examples are provided, including a large-scale multi-crash application.
Recommended Content
Technical Paper | Investigating the Decision Making Styles of General Aviation Pilots: An Exploratory Study |
Technical Paper | Value Analysis at Work: A Case Study |
Technical Paper | DDEC II-Advanced Electronic Diesel Control |
Authors
- Kyung K. Choi - Center for Computer-Aided Design and Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa
- Byeng D. Youn - Center for Computer-Aided Design and Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa
Topic
Citation
Choi, K. and Youn, B., "An Enriched Performance Measure Approach (PMA+) for Reliability-Based Design Optimization Process," SAE Technical Paper 2004-01-1284, 2004, https://doi.org/10.4271/2004-01-1284.Also In
References
- Enevoldsen, I. Sorensen, J.D. “Reliability-Based Optimization In Structural Engineering,” Structural Safety 15 169 196 1994
- Yu, X. Choi, K.K. Chang, K.H. “A Mixed Design Approach for Probabilistic Structural Durability,” Journal of Structural Optimization 14 2-3 81 90 1997
- Tu, J. Choi, K.K. “A New Study on Reliability-Based Design Optimization,” Journal of Mechanical Design ASME 121 4 1999 557 564
- Youn, B.D. Choi, K.K. Park, Y.H. Hybrid Analysis Method for Reliability-Based Design Optimization Journal of Mechanical Design ASME 125 2 221 232 2003 Proceedings of 2001 ASME Design Engineering Technical Conferences: 27 th Design Automation Conference Pittsburgh, PA 2001
- Lee, T.W. Kwak, B.M. “A Reliability-Based Optimal Design Using Advanced First Order Second Moment Method,” Mech. Struct. & Mach. 15 4 523 542 1987-88
- Choi, K.K. Youn, B.D. “An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches,” ASME Design Engineering Technical Conferences Montreal, Canada September 2002
- Thanedar, P.B. Kodiyalam, S. “Structural Optimization Using Probabilistic Constraints,” Journal of Structural Optimization 4 236 240 1992
- Chen, X. Hasselman, T.K. Neill, D. J. “Reliability-Based Structural Design Optimization for Practical Applications,” 38 th AIAA SDM Conference 1997
- Wang, L Kodiyalam, S. “An Efficient Method for Probabilistic and Robust Design with Non-normal Distributions,” 43 rd AIAA SDM Conference Denver, Colorado 2003
- Wu, Y-T. Shin, Y. Sues, R. H. Cesare, M. A. “Safety-Factor Based Approach for Probability-Based Design Optimization,” 42 nd AIAA/ASME/ASC/AHS/ASC SDM Conference & Exhibit Seattle, Washington April 2001
- Du, X. Chen, W. “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,” ASME Design Engineering Technical Conferences Montreal, Canada September 2002
- Choi, K.K. Youn, B.D. “On Probabilistic Approaches for Reliability-Based Design Optimization,” 9 th AIAA/ISSMO Symposium on MAO Atlanta, GA September 2002
- Choi, K.K. Youn, B.D. Yang, R-J. “Moving Least Squares Method for Reliability-Based Design Optimization,” 4th World Congress of Structural and Multidisciplinary Optimization Dalian, China June 4-8 2001
- Madsen, H.O. Krenk, S. Lind, N.C. Methods of Structural Safety Prentice-Hall Englewood Cliffs, NJ 1986
- Palle, T.C. Michael J. B. Structural Reliability Theory and Its Applications Springer-Verlag Berlin, Heidelberg 1982
- Breitung, K. Asymptotic Approximations for Multi-normal Integrals Journal of Engineering Mechanics ASCE 110 3 357 366 1984
- Tvedt, L. Distribution of Quadratic Forms in Normal Space-Application to Structural Reliability Journal of Engineering Mechanics ASCE 116 6 1183 1197 1990
- Rackwitz, R. Fiessler, B. “Structural Reliability Under Combined Random Load Sequences,” Computers & Structures 9 489 494 1978
- Hohenbichler, M. Rackwitz, R. “Nonnormal Dependent Vectors in Structural Reliability,” Journal of the Engineering Mechanics ASCE 107 6 1227 1238 1981
- Wu, Y.T. Millwater, H.R. Cruse, T.A. “Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions,” AIAA Journal 28 9 1663 1669 1990
- Haug, E. Choi, K.K. Komkov, V. Design Sensitivity Analysis of Structural Systems Academic Press 1986
- Choi, K.K. Kim, Namho Design Sensitivity Analysis for Linear and Nonlinear Structures Springer-Verlag Heidelberg 2004
- Yang, R. J. Gu, L. Tho, C. H. Choi, K. K. Youn, Byeng D. “Reliability-Based Multidisciplinary Design Optimization of a Full Vehicle System,” 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization 2002
- Myers, R.H. Montgomery, D.C. Response Surface Methodology John Wiley & Sons New York, NY 1995
- Gu, L. Yang, R-J. Tho, C.H. Makowski, M. Faruque, O. Li, Y. “Optimization and Robustness for Crashworthiness of Side Impact,” Int. J. Vehicle Design 26 4 2001