提出用进化方法求解热传导场拓扑优化设计问题;以单元相对导热率为设计变量,建立最小化热柔度数学优化模型并进行敏度分析,移除具有最小敏度值的单元使得目标柔度增量最小;进化优化过程中引入滤波技术对敏度场进行过滤以消除数值计算不稳定性;数值算例验证了进化拓扑优化方法的有效性及高效性,优化结果为后继进行的形状、尺寸优化提供了可靠的依据.%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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