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Reliability-Based Topology Optimization Using Performance Measure Approach  

Ahn, Seung-Ho (서울대학교 조선해양공학과)
Cho, Seon-Ho (서울대학교 조선해양공학과 및 RIMSE)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.23, no.1, 2010 , pp. 37-43 More about this Journal
Abstract
In this paper, a reliability-based design optimization is developed for the topology design of linear structures using a performance measure approach. Spatial domain is discretized using three dimensional Reissner-Mindlin plate elements and design variable is taken as the material property of each element. A continuum based adjoint variable method is employed for the efficient computation of sensitivity with respect to the design and random variables. The performance measure approach of RBDO is employed to evaluate the probabilistic constraints. The topology optimizationproblem is formulated to have probabilistic displacement constraints. The uncertainties such as material property and external loads are considered. Numerical examples show that the developed topology optimization method could effectively yield a reliable design, comparing with the other methods such as deterministic, safety factor, and worst case approaches.
Keywords
topology design optimization; design sensitivity analysis(DSA); adjoint variable method(AVM); performance measure approach(PMA); reliability-based design optimization(RBDO);
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