This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Design Optimization for Reliability and Robustness
Technical Paper
2004-01-0237
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
Research in design optimization methods has increasingly become concerned with mathematical treatment of uncertainties in system demands and capacity, boundary conditions, component interactions, and available resources. Recent efforts in this context seek to integrate advances in two directions: computational reliability analysis methods and deterministic design optimization. Much current work is focused on developing computationally efficient strategies for such integration, using de-coupled or single loop formulations instead of earlier nested formulations. The extension of reliability-based optimization to include robustness requirements leads to multi-objective optimization under uncertainty. Another important application concerns multidisciplinary problems, where the various reliability constraints are evaluated in different disciplinary analysis codes and there is feedback coupling between the codes. Applications of recently developed methods to automotive and aerospace design problems are discussed, and new directions for further research are outlined.
Recommended Content
Authors
Citation
Mahadevan, S., "Design Optimization for Reliability and Robustness," SAE Technical Paper 2004-01-0237, 2004, https://doi.org/10.4271/2004-01-0237.Also In
References
- Rao, S. S. “Multi-objective Optimization in Structural Design with Uncertain Parameters and Stochastic Processes” AIAA Journal 22 1670 1678 1984
- Frangopol, D. M. “Multicriteria Reliability-Based Structural Optimization” Structural Safety 2 154 159 1985
- Feng, Y. S. Moses, F. “Optimum Design, Redundancy and Reliability of Structural Systems” Computer and Structures 24 2 239 251 1986
- Thoft-Christensen, P. Murotsu, Y. Application of Structural System Reliability Theory Springer Verlag Berlin 1986
- Rackwitz, R. Fiessler, B. “Reliability under Combined Random Load Sequences” Computers and Structures 9 5 489 494 1978
- Lawrence, C. T. Tits, A. L. “Feasible Sequential Quadratic Programming for Finely Discretized Problems from SIP” Semi-Infinite Programming, in the Series Nonconvex Optimization and Its Applications (Eds Reemtsen, R. and Ruckmann, J. -J. ) Kluwer Academic Publishers 1997
- Haldar, A. Mahadevan, S. Probability Statistics and Reliability in Engineering Design John Wiley & Sons 2000
- Tvedt, L. “Distribution of Quadratic Forms in Normal Space - Application to Structural Reliability” Journal of Engineering Mechanics 116 6 1183 1197 1990
- Köylüoğlu, H. U. Nielsen, S. R. K. “New Approximations for SORM Integrals” Structural Safety 5 119 126 1988
- Bucher, C. G. “Adaptive Sampling - an Iterative Fast Mote Carlo Procedure” Structural Safety 5 119 126 1988
- Schuëller, G. I. Pradlwarter, H. J. Bucher, C. G. “Efficient Computational Procedures for Reliability Estimate of MDOF-systems” International Journal of Nonlinear Mechanics 26 6 961 974 1991
- Wu, Y. T. NESSUS/FPI User's and Theoretical Manuals - Version 2.4 Southwest Research Institute San Antonio, TX 1998
- Melchers, R. E. “Improved Importance Sampling Methods for Structural System Reliability Calculation” Proceedings, International Conference on Structural Safety and Reliability (ICOSSAR) 1185 1192 1989
- Karamchandani, A. Bjerager, P. Cornell, C. A. “Adaptive Importance Sampling” 5 th International Conference on Structural Safety and Reliability (Eds Ang, A. H.-S. Shinozuka, M. and Schuëller, G. I. ) ASCE 855 862 1989
- Dey, A. Mahadevan, S. “Ductile Structural System Reliability Analysis using Adaptive Importance Sampling” Structural Safety 20 137 154 1998
- Mahadevan, S. Raghothamachar, P. “Adaptive Simulation for System Reliability Analysis of Large Structures” Computers and Structures 77 725 734 2000
- Mahadevan, S. Liu, X. “Probabilistic Optimum Design of Composite Laminates” Journal of Composite Materials 32 1 68 82 1998
- Aktas, E. Moses, F. Gohsn, M. “Cost and Safety Optimization of Structural Design Specifications” Reliability Engineering and System Safety 73 205 212 2001
- Al-Harthy A. S. Frangopol, D. M. “Integrating System Reliability and Optimization in Prestressed Concrete Design” Computers and Structures 64 1-4 729 35 1997
- Miki, M. Murotsu, Y. Tanaka, T. Shao, S. “Reliability-Based Optimization of Fibrous Laminated Composites” Reliability Engineering and System Safety 56 285 290 1997
- Leheta, H. W. Mansour, A. E. “Reliability-Based Method for Optimal Structural Design of Stiffened Panels” Marine Structures 10 323 352 1997
- Oakley, D. R. Sues, R. H. Rhodes, G. S. “Performance Optimization of Multidisciplinary Mechanical Systems subject to Uncertainties” Probabilistic Engineering Mechanics 13 1 15 26 1998
- Mahadevan, S. “Probabilistic Optimum Design of Framed Structures” Computers & Structures 42 3 365 74 1992
- Pu, Y. Das, P.K. Faulkner, D. “A Strategy for Reliability-Based Optimization” Engineering Structures 19 276 282 1997
- Wu, Y.-T. “Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis” AIAA Journal 32 8 1717 23 1994
- Choi, K. K. Yu, X. Chang, K. “A Mixed Design Approach for Probabilistic Structural Durability” 6 th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization 785 95 Bellevue, WA 1996
- Tsompanakis, Y. Papadrakakis, M. “Robust and Efficient Methods for Reliability-Based Structural Optimization” Computational Methods for Shell and Spatial Structures IASS-IACM Athens, Greece 2000
- Royset, J. O. Der Kiureghian, A. Polak, E. “Reliability-based optimal structural design by the decoupling approach” Reliability Engineering & System Safety 73 213 221 2001
- Du, X. Chen, W. “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design” DETC2002/DAC-34127, Engineering Conference Montreal, Canada Sep. 29 Oct. 2 2002
- Tu, J. Choi, K. K. Park, Y. H. “A New Study on Reliability-Based Design Optimization” Journal of Mechanical Design 121 557 64 1999
- Zou, T. “Efficient Methods for Reliability-Based Design Optimization” Vanderbilt University Nashville, Tennessee 2004
- Sopory, A. Tu, J. Kloess, A. “Reliability-Based Design Optimization using a Decoupled Approach” 2003
- Yang, R. J. Gu. L. Tho, C. H. Choi, K. K. Youn, B. D. “Reliability-Based Multidisciplinary Design Optimization of a Full Vehicle System” AIAA-2002-1758, Proceedings, 43 rd AIAA/ASME/ASCE/ AHS/ASC Structures, Structural dynamics, and Materials Conference and Exhibit Atlanta, GA 2002
- Mourelatos, Z. Personal Communication 2003
- Athan, T. W. Papalambros, P. Y. “A Note on Weighted Criteria Methods for Compromise Solutions in Multi-Objective Optimization” Engineering Optimization 27 155 176 1996
- Steuer, R. E. Multiple Criteria Optimization: Theory, Computation, and Application John Wiley & Sons, Inc. 1986
- Cohon, J. L. Multi-objective Programming and Planning Academic Press, Inc. 1978
- Geoffrion, A. M. “Proper Efficiency and the Theory of Vector Maximization” Journal of Mathematical Analysis & Applications 22 618 630 1968
- Busacca, P. G. Marseguerra, M. Zio, E. “Multi-objective Optimization by Genetic Algorithms: Application to Safety Systems” Reliability Engineering and System Safety 72 59 74 2001
- Tappeta, R. Renaud, J. “Interactive Multi-objective Optimization Design Strategy for Decision Based Design” ASME Design Engineering Technical Conference 1999
- Li Y. Fadel, G. M. “Approximating Pareto Curves using the Hyper-Ellipse” AIAA/ISSMO Internet Conference on Multidisciplinary Optimization 1998
- Frangopol D. M. Fu, G. “Limit States Reliability Interaction in Optimum Design of Structural Systems” 5 th International Conference on Structural Safety and Reliability (ICOSSAR '89) 1879 85 1989
- Ditlevsen, O. “Narrow Reliability Bounds for Structural Systems” Journal of Structural Mechanics 7 4 453 472 1979
- Du. X Sudjianto, A. Chen, W. “An Integrated Framework for Optimization using Inverse Reliability Strategy” ASME Design Automation Conference Chicago, IL September 2-6 2003
- Sopory, A. Mahadevan, S. “Sequential Methods for Reliability-Based Optimization and Robust Design: Report to GM” Vanderbilt University Nashville, Tennessee 2003
- Zou, T. Mourelatos, Z. Mahadevan, S. Meernik, P. “Reliability Analysis of Systems with Nonlinear Limit States; Application to Automotive Door Closing Effort” SAE World Congress , 2003-01-0142 Detroit, MI March 3-6 2003
- Smith N. “Probabilistic Methods for Aerospace System Conceptual Design,” November 2002
- Chiralaksanakul, A. Copeland, A. Mahadevan, S. “Probabilistic Optimization of Multidisciplinary Systems: Report to NASA Langley Research Center” Vanderbilt University Nashville, Tennessee 2003
- Smith, N. Mahadevan, S. “Probabilistic Coupling of System-Level and Component-Level Designs: Report to NASA Langley Research Center” Vanderbilt University Nashville, Tennessee 2003
- Unal, R. Lepsch, R. A. McMillin, M. L. “Response Surface Model Building and Multi-disciplinary Optimization Using D-Optimal Designs,” Proceedings of the 7 th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization 405 411 St. Louis Sept. 1998
- Choi, K. K. Youn, B. D. Tang, J. “Structural Durability Design Optimization and Its Reliability Assessment” ASME Design Automation Conference Chicago, IL September 2-6 2003
- Liu, X. Mahadevan, S. “System Reliability-Based Optimization of Composite Structures,” Proceedings, 7 th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization St. Louis, Missouri 856 860 Sept. 1998
- Zhang, R. Mahadevan, S. “Integration of Computation and Testing for Reliability Estimation,” Reliability Engineering and System Safety 74 1 13 21 2001
- Zhang, R. Mahadevan S. “Bayesian Methodology for Reliability Model Acceptance” Reliability Engineering and System Safety 80 1 95 103 2003
- Zou, T. Mourelatos, Z. Mahadevan, S. “Simulation-Based Reliability Analysis of Automotive Wind Noise Quality” SAE World Congress , 2004-01-0238 Detroit, MI March 8-11 2004