성능함수법을 이용한 신뢰성기반 위상 최적설계
Reliability-Based Topology Optimization Using Performance Measure Approach
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초록
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.
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.
참고문헌 (8)
- Bae, K, "Reliability-Based Topology Optimization", Proceedings of 9th AIAA, 2002, 2002~5542
- Cho, S, "Design Sensitivity Analysis and Topology Optimization of Displacement-Loaded Nonlinear Structures", Computer Methods in Applied Mechanics and Engineering, 192, pp.2539~2553 (2003)
- Choi, K.K, "Structural Sensitivity Analysis and Optimization", pp.446~ (2005), Splinger
- Haug, E.J, "Design Sensitivity Analysis of Structural Systems" (1986), Academic Press
- Jung, H.S, "Reliability-Based Topology Optimization of Geometrically Nonlinear Structures with Loadign and Material Uncertainties", Finite Elements in Analysis and Design, 43, pp.311~331 (2004)
- Lee, J.O, "A Comparative Study on Reliability-Index and Target-Performance- based Probabilistic Structural Design Optimization", Computers and Structures, 80, pp.257~269 (2002)
- Maute, K, "Reliability-based Design of MEMS Mechanisms by Topology Optimization", Computers and Structures, 81, pp.813~824 (2003)
- Performance Measure Approach in Reliability-Based Structural Optimization, Technical Report, "Tu, J", University of Iowa, ~, pp.R97-02 (1997)