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Reliability-Based Shape Optimization Under the Stress Constraints  

Oh, Young-Kyu (한양대학교 대학원 기계공학과)
Park, Jae-Yong (한양대학교 대학원 기계공학과)
Im, Min-Gyu (한양대학교 대학원 기계공학과)
Park, Jae-Yong (한양대학교 대학원 기계공학과)
Han, Seog-Young (한양대학교 기계공학부)
Publication Information
Journal of the Korean Society of Manufacturing Technology Engineers / v.19, no.4, 2010 , pp. 469-475 More about this Journal
Abstract
The objective of this study is to integrate reliability analysis into shape optimization problem using the evolutionary structural optimization (ESO) in the application example. Reliability-based shape optimization is formulated as volume minimization problem with probabilistic stress constraint under minimization max. von Mises stress and allow stress. Young's modulus, external load and thickness are considered as uncertain variables. In order to compute reliability index, four methods, i.e., reliability index approach (RIA), performance measure approach (PMA), single-loop singlevector (SLSV) and adaptive-loop (ADL), are used. Reliability-based shape optimization design process is conducted to obtain optimal shape satisfying max. von Mises stress and reliability index constraints with the above four methods, and then each result is compared with respect to numerical stability and computing time.
Keywords
Reliability-Based Shape Optimization; Double-Loops Single-Vector Approach; Single-Loop Single-Vector Approach; Adaptiv-Loop Approach; Evolutionary Structural Optimization;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 Youn, B. D., "Adaptive-loop method for non-deterministic design optimization," IMechE, Vol. 221, pp. 1-13.
2 Li, Q., Steven, G. P., Querin Q. M., and Xie, Y. M., 1999, "Evolutionary Shape Optimization for Stress Minimization," Mechanics Research Communication, Vol. 2, No.6, pp. 657-664.
3 Youn, B. D., Choi, K. K., and Park, Y. H., 2003, "Hybrid Analysis Method for Reliability-Based Design Optimization," ASME. J. Mech. Design, Vol. 125, pp. 221-232.   DOI   ScienceOn
4 Querin, O. M., Steven, G. P., and Xie, Y. M., 2000, "Evolutionary Structural Optimization Using an Additive Algoritlun," Finite Elem. Anal. Des., Vol. 34, pp. 291-308.   DOI   ScienceOn
5 Lee, J. O., Yang Y. S., and Kim B. J., 2005, "Modified Single loop Single Vector Method for Stability and Efficiency Improvement in Reliability -Based Design Optimization," KCSE, Vol. 18, No.1, pp. 51-59.   과학기술학회마을
6 Kim, C., Wang, S. M., Hwang, I. H., and Lee, J. G., 2007, "Application of Reliability-Based Topology Optimization for Micro electro mechanical Systems," AIAA. J., Vol. 45, pp. 2926-2934.   DOI   ScienceOn
7 Kim, C. I., Wang, S. M., Bae, K. R., and Moon H. G., 2007, "Reliability-Based Topology Opimization with Uncertainties," Int. J. KSME, Vol. 20, No.4, pp. 494-504 .   과학기술학회마을
8 Lee, J. O., Yang, Y. S., and Ruy, W. S., 2002, "A Comparitive study on reliability and targetperformance- based probabilistic structural design optimization," Computers and Strncture, Vol. 80, pp. 257-269.   DOI   ScienceOn
9 Kim, C. I., Wang, S. M., Bae, K. R., and Moon, H. G., 2006, "Reliability-Based Topology Optimization with Uncertainties," Int. J. KSME, Vol. 20, No.4, pp. 494-504.   과학기술학회마을
10 Bang, S. H. and Min, S. J., 2006, "Reliability-Based Topology Optimization Using Single-Loop Single-Vector Approach," KSME, Vol. 30. No.8, pp. 889-896.   과학기술학회마을   DOI
11 Xie, Y. M. and Steven, G. P., 1997, Evolu-tinary Structural Optimization, Springer-Verlog, London.
12 Jung, H. S. and Cho, S. H., 2004, "Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties," Finite Element in Analysis and Design, Vol. 43, pp. 311-331.