随机变量下的热传导结构拓扑优化设计

doi:10.3969/j.issn.1001-2400.2014.06.019

Abstract

Abstract:

Topology optimization design of a heat conduction structure with random variables under dissipation of heat transport potential capacity constraint is discussed. The mathematical model of topology optimization, based on the probabilistic reliability index with dissipation of heat transport potential capacity constraint, is constructed. The total volume of heat conductive material is to be minimized and the relative thermal conductivity of elements is regarded as the design variable here. The computational expressions for numerical characteristics of dissipation of heat transport potential capacity based on the random factor method are presented. Evolutionary structural optimization method is used in optimization. A filtering technique is employed to eliminate numerical instabilities in process of topology optimization. Two numerical examples are presented to demonstrate the feasibility and effectiveness of the optimal model and the solution.

Key words: heat conduction, random variables, dissipation of heat transport potential capacity, reliability, random factor method, topology optimization

YOU Fang;CHEN Jianjun;CAO Hongjun;XIE Yongqiang. Topology optimization design of heat conduction structures with random variables[J].J4, 2014, 41(6): 111-117.

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Topology optimization design of heat conduction structures with random variables

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