This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Reliability-Based Robust Design Optimization Using the Performance Moment Integration Method and Case Study of Engine Gasket-Sealing Problem
Technical Paper
2005-01-0812
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
Reliability-based robust design optimization deals with two objectives of structural design methodologies subject to various uncertainties: reliability-based design and robust design. A reliability-based design optimization deals with the probability of failure, while a robust design optimization minimizes the product quality loss. In general, the product quality loss is described by using the first two statistical moments: mean and standard deviation. In this paper, a performance moment integration (PMI) method is proposed by using numerical integration scheme for output response to estimate the product quality loss. For the reliability part of the reliability-based robust design optimization, the performance measure approach (PMA) and its numerical method, hybrid-mean value (HMV) method, are used. New formulations of reliability-based robust design optimization are presented for three different types of robust objectives, such as smaller-the-better, larger-the-better, and nominal-the-better types. Examples are used to demonstrate the effectiveness of reliability-based robust design optimization using the proposed PMI method for different types of robust objective.
Recommended Content
Authors
- Kyung K. Choi - Center for Computer-Aided Design, Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa
- Kiyoung Yi - Center for Computer-Aided Design, Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa
- Byeng D. Youn - Department of Mechanical Engineering, University of Detroit Mercy
Citation
Youn, B., Choi, K., and Yi, K., "Reliability-Based Robust Design Optimization Using the Performance Moment Integration Method and Case Study of Engine Gasket-Sealing Problem," SAE Technical Paper 2005-01-0812, 2005, https://doi.org/10.4271/2005-01-0812.Also In
References
- Enevoldsen, I. Sorensen, J.D. “Reliability-Based Optimization In Structural Engineering,” Structural Safety 15 169 196 1994
- Tu, J. Choi, K.K. “A New Study on Reliability Based Design Optimization,” Journal of Mechanical Design ASME 121 4 557 564 1999
- Yu, X. Chang, K.H. Choi, K.K. “Probabilistic Structural Durability Prediction,” AIAA Journal 36 4 628 637 1998
- 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
- Youn, B.D. Choi, K.K. “Selecting probabilistic Approaches for Reliability-Based Design Optimization,” AIAA Journal 42 1 2004
- Youn, B.D. Choi, K.K. “A New Response Surface Methodology for Reliability-Based Design Optimization (RBDO),” Computers and Structures 82 2-3 241 256 2004
- Parkinson, D.B. “Robust Design By Variability Optimization,” Quality and Reliability Engineering International 13 97 102 1997
- Renaud, J.E. Su, J. “Automatic Differentiation in Robust Optimization,” AIAA Journal 35 6 1997
- Gupta, K.C. Li, J. “Robust Design Optimization with Mathematical Programming Neural Networks,” Computers and Structures 76 507 516 2000
- Chen, W. Sahai, A. Messac, A. Sundararaj, G.J. “Exploration of the Effectiveness of Physical Programming in Robust Design,” Journal of Mechanical Design ASME 122 155 163 2000
- Kalsi, M. Hacker, K. Lewis, K. “A Comprehensive Robust Design Approach for Decision Trade-Offs in Complex Systems Design,” Journal of Mechanical Design ASME 123 2001
- Chandra, M. J. Statistical Quality Control CRC Press Boca Raton, FL 2001
- Taguchi, G. Elsayed, E. Hsiang, T. Quality Engineering in Production Systems McGraw-Hill New York, NY 1989
- Liu, P.L. Kiureghian, A.D. “Optimization Algorithms for Structural Reliability Analysis,” Computers & Structures 52 1 103 111 1991
- Wu, Y.-T. Wirsching, P.H. “New Algorithm for Structural Reliability Estimation,” Journal of Engineering Mechanics ASCE 113 9 1319 1336 1987
- Chen, X. Hasselman, T.K. Neill, D. J. “Reliability-Based Structural Design Optimization for Practical Applications,” AIAA-97-1403, 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
- Du, X. Chen, W. “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,” DETC-DAC34127, ASME Design Engineering Technical Conferences Montreal, Canada September 2002
- Wu, Y-T. Shin, Y. Sues, R. H. Cesare, M. A. “Safety-Factor Based Approach for Probability-Based Design Optimization,” AIAA-2001-1522, 42 nd AIAA/ASME/ASC/AHS/ASC SDM Conference & Exhibit Seattle, Washington April 2001
- Youn, B.D. Choi, K.K. “Enriched Performance Measure Approach (PMA+) for Reliability-Based Design Optimization,” AIAA Journal 2003
- Bennett, G. Gupta, L.C. “Least Cost Tolerance I,” International Journal of Production Research 8 1 65 74 1969
- Forouraghi, B. “Worst-Case Tolerance Design and Quality Assurance via Genetic Algorithms,” Journal of Optimization Theory and Applications 113 2 251 268 2000
- McAllister, C.D. Simpson, T.W. “Multidisciplinary Robust Design Optimization of an Internal Combustion Engine,” Journal of Mechanical Design ASME 125 2 124 130 2003
- Jung, D.H. Lee, B.C. “Development of a Simple and Efficient Method for Robust Optimization,” International Journal for Numerical Methods in Engineering 53 2201 2215 2002
- Varghese, P. Braswell, R.N. Wang, B. Zhang, C. “Statistical Tolerance Analysis Using FRPDF and Numerical Convolution,” Computer-Aided Design 28 9 723 732 1996
- Lin, C.Y. Huang, W.H. Jeng, M.C. Doong, J.L. “Study of an Assembly Tolerance Allocation Model Based on Monte Carlo Simulation,” Journal of Materials Processing Technology 70 9 16 1997
- Taguchi, G. “Performance Analysis Design,” International Journal of Production Research 16 6 521 530 1978
- Lee, K.-H. Park, G.-J. “Robust Optimization in Discrete Design Space for Constrained Problems,” AIAA Journal 40 4 2002
- Reddy, P.B. Nishina, K. Babu, A.S. “Unification of Robust Design and Goal Programming for Multiresponse Optimization - A Case Study,” Quality and Reliability Engineering International 13 371 383 1997
- Du, X. Chen, W. “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design,” Journal of Mechanical Design ASME 122 385 394 2000
- Greenwood, W. H. Chase, K. W. “A New Tolerance Analysis Method for Designers and Manufacturers,” Journal of Engineering for Industry ASME 109 112 116 1987
- Liu, S. C. Hu, S. J. “Sheet Metal Joint Configurations and Their Variation Characteristics,” Journal of Manufacturing Science and Engineering 120 461 467 1998
- Chen, C. J. Choi, K. K. “Robust Design Using Second-Order Shape Design Sensitivity Analysis,” 22nd ASME Design Automation Conference Irvine, CA August 18-21 1996
- Belegundu, A. D. Zhang, S. H. “Robustness of Design Through Minimum Sensitivity,” Journal of Mechanical Design ASME 114 2 213 217 1992
- Du, X. Sudjianto, A. Chen, W. “An Integrated Framework for Optimization Using Inverse Reliability Strategy,” DETC-DAC48706, ASME Design Engineering Technical Conferences Chicago, IL September 2003
- Das, I. Dennis, J. E. “A Closer Look at Drawbacks of Minimizing Weighted Sums of Objectives for Pareto Set Generation in Multicriteria Optimization Problems,” Structural Optimization 14 63 69 1997
- Messac, A. “From Dubious Construction of Objective Functions to the Application of Physical Programming,” AIAA Journal 35 1 155 163 2000
- D'Errico, J. R. Zaino N. A. Jr., “Statistical Tolerancing Using a Modification of Taguchi's Method,” Technometrics 30 4 397 405 1988
- Youn, Byeng D. Choi, K.K. Gu, L. Yang, Ren-Jye “Reliability-Based Design Optimization for Crashworthiness of Side Impact,” Journal of Structural and Multidisciplinary Optimization 27 3 272 283 2004
- Kim, N.H. Yi, K.Y. Choi, K.K. “A Material Derivative Approach in Design Sensitivity Analysis of Three-Dimensional Contact Problems,” International Journal of Solids and Structures 39 8 2087 2108 2002