An effective evolutionary method for solving the structural topology design problems of heat conductive fields is presented. The topology optimization model based on minimizing thermal compliance of heat conductive field is then established and the corresponding sensitivity of objective function is derived to determine which elements would be removed of the heat conductive field for having the increment of the objective compliance minimized. A Filtering technique is employed in sensitivity field to eliminate numerical instabilities in the evolutionary procedure. Numerical examples are presented to demonstrate the validity and the applicability of the proposed method, with the results laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering.
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李家春 叶邦彦. 进化方法在热传导拓扑优化设计中的应用[J]. 科学技术与工程, 2007, (2): 169-173178. LI Jia-chun, YE Bang-yan. Application of Evolutionary Method to Topology Optimization of Heat Conduction Fields[J]. Science Technology and Engineering,2007,(2):169-173178.