Performance Moment Integration (PMI) Method for Quality Assessment in Reliability-Based Robust Design Optimization

REFERENCES

• Belegundu , A. D. , Zhang , S. H. ( 1992 ). Robustness of design through minimum sensitivity . Journal of Mechanical Design, ASME 114 ( 2 ): 213 – 217 .
   Web of Science ®Google Scholar
• Bennett , G. , Gupta , L. C. ( 1969 ). Least cost tolerance I . International Journal of Production Research 8 ( 1 ): 65 – 74 .
   Google Scholar
• Chandra , M. J. ( 2001 ). Statistical Quality Control . (Chapter 3) . Boca Raton , FL : CRC Press .
   Google Scholar
• Chen , C. J. , Choi , K. K. ( 1996, August 18–21 ). Robust design using second-order shape design sensitivity analysis . In: 22nd ASME Design Automation Conference , ASME , Irvine , CA . .
   Google Scholar
• Chen , X. , Hasselman , T. K. , Neill , D. J. ( 1997 ). Reliability-based structural design optimization for practical applications . In: 38th AIAA SDM Conference , AIAA, AIAA-97-1403 .
   Google Scholar
• Chen , W. , Sahai , A. , Messac , A. , Sundararaj , G. J. ( 2000 ). Exploration of the effectiveness of physical programming in robust design . Journal of Mechanical Design, ASME 122 : 155 – 163 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Das , I. , Dennis , J. E. ( 1997 ). A closer look at drawbacks of minimizing weighted sums of objectives for pareto set generation in multicriteria optimization problems . Structural Optimization 14 : 63 – 69 . [CROSSREF]
   Web of Science ®Google Scholar
• D'Errico , J. R. , Zaino , Jr. , N. A. ( 1988 ). Statistical tolerancing using a modification of Taguchi's method . Technometrics 30 ( 4 ): 397 – 405 .
   Web of Science ®Google Scholar
• Du , X. , Chen , W. ( 2000 ). Towards a better understanding of modeling feasibility robustness in engineering design . Journal of Mechanical Design, ASME 122 : 385 – 394 . [CROSSREF]
   Web of Science ®Google Scholar
• Du , X. , Chen , W. ( 2002 ). Sequential optimization and reliability assessment method for efficient probabilistic design . DETC-DAC34127, ASME Design Engineering Technical Conferences , ASME , Montreal , Canada .
   Google Scholar
• Du , X. , Sudjianto , A. , Chen , W. ( 2003, September ). An integrated framework for optimization using inverse reliability strategy . DETC-DAC48706, ASME Design Engineering Technical Conferences , ASME , Chicago , IL .
   Google Scholar
• Enevoldsen , I. , Sorensen , J. D. ( 1994 ). Reliability-based optimization in structural engineering . Structural Safety 15 : 169 – 196 . [CROSSREF]
   Web of Science ®Google Scholar
• Forouraghi , B. ( 2000 ). Worst-case tolerance design and quality assurance via genetic algorithms . Journal of Optimization Theory and Applications 113 ( 2 ): 251 – 268 . [CROSSREF]
   Web of Science ®Google Scholar
• Greenwood , W. H. , Chase , K. W. (1987). A new tolerance analysis method for designers and manufacturers. Journal of Engineering for Industry, ASME 109:112–116.
   Web of Science ®Google Scholar
• Gupta , K. C. , Li , J. ( 2000 ). Robust design optimization with mathematical programming neural networks . Computers and Structures 76 : 507 – 516 . [CROSSREF]
   Google Scholar
• Jung , D. H. , Lee , B. C. ( 2002 ). Development of a simple and efficient method for robust optimization . International Journal for Numerical Methods in Engineering 53 : 2201 – 2215 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Kalsi , M. , Hacker , K. , Lewis , K. ( 2001 ). A comprehensive robust design approach for decision trade-offs in complex systems design . Journal of Mechanical Design, ASME 123 : 124 – 131 .
   Web of Science ®Google Scholar
• Kim , N. H. , Yi , K. Y. , Choi , K. K. ( 2002 ). A material derivative approach in design sensitivity analysis of three-dimensional contact problems . International Journal of Solids and Structures 39 ( 8 ): 2087 – 2108 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Lee , K.-H. , Park , G.-J. ( 2002 ). Robust optimization in discrete design space for constrained problems . AIAA Journal 40 ( 4 ).
   Web of Science ®Google Scholar
• Lin , C. Y. , Huang , W. H. , Jeng , M. C. , Doong , J. L. ( 1997 ). Study of an assembly tolerance allocation model based on Monte Carlo simulation . Journal of Materials Processing Technology 70 : 9 – 16 . [CROSSREF]
   Web of Science ®Google Scholar
• Liu , S. C. , Hu , S. J. ( 1998 ). Sheet metal joint configurations and their variation characteristics . Journal of Manufacturing Science and Engineering 120 : 461 – 467 . [CSA]
   Web of Science ®Google Scholar
• Liu , P. L. , Kiureghian , A. D. ( 1991 ). Optimization algorithms forstructural reliability analysis . Computers & Structures 52 ( 1 ): 103 – 111 . [CSA]
   Google Scholar
• McAllister , C. D. , Simpson , T. W. ( 2003 ). Multidisciplinary robust design optimization of an internal combustion engine . 125 ( 2 ): 124 – 130 .
   Google Scholar
• Messac , A. ( 2000 ). From dubious construction of objective functions to the application of physical programming . AIAA Journal 35 ( 1 ): 155 – 163 .
   Google Scholar
• Parkinson , D. B. ( 1997 ). Robust design by variability optimization . Quality and Reliability Engineering International 13 : 97 – 102 . [CROSSREF]
   Web of Science ®Google Scholar
• Reddy , P. B. , Nishina , K. , Babu , A. S. ( 1997 ). Unification of robust design and goal programming for multiresponse optimization—A case study . Quality and Reliability Engineering International 13 : 371 – 383 . [CROSSREF]
   Web of Science ®Google Scholar
• Renaud , J. E. , Su , J. ( 1997 ). Automatic differentiation in robust optimization . AIAA Journal 35 ( 6 ). [CSA]
   Web of Science ®Google Scholar
• Taguchi , G. ( 1978 ). Performance analysis design . International Journal of Production Research 16 ( 6 ): 521 – 530 .
   Web of Science ®Google Scholar
• Taguchi , G. , Elsayed , E. , Hsiang , T. ( 1989 ). Quality Engineering in Production Systems . (Chapters 2 and 3) . New York : McGraw-Hill .
   Google Scholar
• Tu , J. , Choi , K. K. ( 1999 ). A new study on reliability based design optimization . Journal of Mechanical Design, ASME 121 ( 4 ): 557 – 564 . [CSA]
   Web of Science ®Google Scholar
• Varghese , P. , Braswell , R. N. , Wang , B. , Zhang , C. (1996). Statistical tolerance analysis using FRPDF and numerical convolution. Computer-Aided Design 28(9):723–732. [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Wang , L. , Kodiyalam , S. ( 2003, September ). An efficient method for probabilistic and robust design with non-normal distributions. In: 43rd AIAA SDM Conference , AIAA , Denver , Colorado . .
   Google Scholar
• Wu , Y.-T. , Wirsching , P. H. ( 1987 ). New algorithm for structural reliability estimation . Journal of Engineering Mechanics, ASCE 113 ( 9 ): 1319 – 1336 . [CSA]
   Web of Science ®Google Scholar
• Wu , Y.-T. , Shin , Y. , Sues , R. H. , Cesare , M. A. ( 2001, April ). Safety-factor based approach for probability-based design optimization . AIAA-2001-1522, 42nd AIAA/ASME/ASC/AHS/ASC SDM Conference & Exhibit, Seattle, Washington .
   Google Scholar
• Youn , B. D. , Choi , K. K. ( 2004a ). Selecting probabilistic approaches for reliability-based design optimization . AIAA Journal 42 ( 1 ).
   Web of Science ®Google Scholar
• Youn , B. D. , Choi , K. K. ( 2004b ). A new response surface methodology for reliability-based design optimization (RBDO) . Computers and Structures 82 ( 2–3 ): 241 – 256 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Youn , B. D. , Choi , K. K. ( 2005 ). Enriched performance measure approach (PMA+) for reliability-based design optimization . AIAA Journal 43 ( 4 ): 874 – 884 .
   Web of Science ®Google Scholar
• Youn , B. D. , Choi , K. K. , Du , L. ( 2004a ). Adaptive probability analysis using an enhanced hybrid mean value (HMV+) method . Journal of Structural and Multidisciplinary Optimization 28 ( 4 ): 319 – 333 .
   Google Scholar
• Youn , B. D. , Choi , K. K. , Park , Y. H. ( 2003 ). Hybrid analysis method for reliability-based design optimization . Journal of Mechanical Design, ASME 125 ( 2 ): 221 – 232 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Youn , B. D. , Choi , K. K. , Gu , L. , Yang , R.-J. ( 2004b ). Reliability-based design optimization for crashworthiness of side impact . Journal of Structural and Multidisciplinary Optimization 27 ( 3 ). [CSA]
   Google Scholar
• Yu , X. , Chang , K. H. , Choi , K. K. ( 1998 ). Probabilistic structural durability prediction . AIAA Journal 36 ( 4 ): 628 – 637 .
   Web of Science ®Google Scholar
• #Communicated by S. Velinsky.
   Google Scholar