Commenced in January 2007
Paper Count: 31103
Reliability-Based Topology Optimization Based on Evolutionary Structural Optimization
Abstract:This paper presents a Reliability-Based Topology Optimization (RBTO) based on Evolutionary Structural Optimization (ESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic Topology Optimization (DTO) is obtained without considering of the uncertainties related to the uncertainty parameters. However, RBTO involves evaluation of probabilistic constraints, which can be done in two different ways, the reliability index approach (RIA) and the performance measure approach (PMA). Limit state function is approximated using Monte Carlo Simulation and Central Composite Design for reliability analysis. ESO, one of the topology optimization techniques, is adopted for topology optimization. Numerical examples are presented to compare the DTO with RBTO.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077565Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2345
 Chwail Kim, Semyung Wang, Kyoung-ryun Bae and Heegon Moon, "Reliability-Based Topology Optimization with Uncertainties," Int. J. KSME., vol. 20, no. 4, pp. 492-504, 2007.
 Seunghyun Band and Seungjea Min, "Reliability-Based Topology Optimization usig Single-Loop Single-Vector Approach," KSME., vol.20, no. 8, pp. 889-896, 2006
 Hyun-Seung Jung and Seonho Cho, "Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties," Finite Element in Analysis and Design, vol. 43, pp. 311-331, 2004.
 Jae-Ohk Lee, Young-Soon Yang, Wom-Sun Ruy, "A comparative study on reliability and target-performance-based probabilistic structural design optimization," Comp. and Struc. Vol. 80, pp, 257-269, 2002.
 Byeng D. Youn, Kyung K. Choi and Young H. Park, "Hybrid Analysis Method for Reliability-Based Design Optimization," ASME, J. Mech. Design, vol. 125, pp. 221-232, 2003.
 Choi, K. K., Youn, B. D., "Investigation of the nonlinearity of reliability-based design optimization", In:28th ASME Deign Automation Conf. Monreal, September 30-October 2, 2002
 Tu, J., and Choi, K. K., "A new Study on Reliability-Based Design Optimization," ASME. J. Mech. Des. Vol. 121, no. 4, pp. 557-564.
 Byeng D. Yoon, Kyung K. Choi, "A new response surface methodology for reliability-based design optimization," Comp. & Struc. Vol. 82, pp. 241-256, 2004.
 Buslenko, N. P., Golenko, F. I., Shreider, Y. A., Sobol, I. M. and Sragowich, V. G., The Monte Carlo Method, Pergamon. Press, New York. 1964.
 D. Nha Chu, Y. M. Xie, A. Hira and G. P.Steven, "Evolutionary Structural Optimization for problems with stiffness constraints," Finite Element in Analysis and Design, vol. 21, pp. 239-251, 1996.
 Y. M. Xie and G. P. Steven, Evolutionary Structural Optimization, Springer-Verlog, London, 1997.
 Enevoldsen, L. and Sorensen, J. D., "Reliability-Based Optimization In Structure Engineering," Struct. Safety, vol. 15, pp. 169-196, 1994.
 Wu, Y. T. and Wang W., "A new Method for Efficient Reliability-Based Design Optimization," Probabilistic Mechanics & Structural Reliability: Proceeding of the 7th Special Conference, pp. 274-277.
 Grandhi, R. V. and Wang, L. P., "Reliability-Based Structural Optimization-Using Improved Two-point Adaptive Nonlinear Approximations," Finite Elem. Anal. Design, vol. 29, pp. 35-48, 1998.
 Yu, X., Choi, K. K. and Chang, K. H., "A Mixed Design Approach for Probabilistic Structural Durability," Journal of Structural Optimization , vol. 14(2-3), pp. 81-90,1997
 Seung-Kunm Choi, Ramand V. Grandhi and Robert A. Canfield, Reliability-based Structural Design, Springer, London, 2007..
 Achintya Halder and Sankaran Machadevan, Probability, Reliability, and Statistical Methods in Engineering Design, John Wiley & Sons, Inc. New York, 2000.