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A Comparison of Deterministic, Reliability-Based Topology Optimization under Uncertainties

Acta Mechanica Solida Sinica 2016年第1期29卷 31-45页

作者： Qinghai Zhao xiaokaichen Zhengdong Ma Yi Lin Collaborative Innovation Center of Electric Vehicles in Beijing School of Mechanical Engineering Beijing Institute of Technology Beijing 100081 China Department of Mechanical Engineering University of Michigan MI 48105 USA Beijing Automotive Technology Center Beijing 100081 China

Reliability and optimization are two key elements for structural design. The reliability~ based topology optimization （RBTO） is a powerful and promising methodology for finding the optimum topologies with the uncertainties being explicitly considered, typically manifested by the use of reliability constraints. Generally, a direct integration of reliability concept and topol- ogy optimization may lead to computational difficulties. In view of this fact, three methodologies have been presented in this study, including the double-loop approach （the performance measure approach, PMA） and the decoupled approaches （the so-called Hybrid method and the sequential optimization and reliability assessment, SORA）. For reliability analysis, the stochastic response surface method （SRSM） was applied, combining with the design of experiments generated by the sparse grid method, which has been proven as an effective and special discretization technique. The methodologies were investigated with three numerical examples considering the uncertainties including material properties and external loads. The optimal topologies obtained using the de- terministic, RBTOs were compared with one another; and useful conclusions regarding validity, accuracy and efficiency were drawn.

关键词： reliability-based design optimization topology optimization first-order reliabilitymethod (FORM) stochastic response surface method sparse grid method

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