In the viewpoint of heat transfer, heat transport potential capacity and its dissipation are defined based on the essence of heat transport phenomenon. Respectively, their physical meanings are the overall heat transf...In the viewpoint of heat transfer, heat transport potential capacity and its dissipation are defined based on the essence of heat transport phenomenon. Respectively, their physical meanings are the overall heat transfer capa-bility and the dissipation rate of the heat transfer capacity. Then the least dissipation principle of heat transport poten-tial capacity is presented to enhance the heat conduction efficiency in the heat conduction optimization. The principle is, for a conduction process with the constant integral of the thermal conductivity over the region, the optimal distribu-tion of thermal conductivity, which corresponds to the high-est heat conduction efficiency, is characterized by the least dissipation of heat transport potential capacity. Finally the principle is applied to some cases in heat conduction optimi-zation.展开更多
针对稳态热传导问题,以结构散热弱度最小为目标,建立了连续体传热结构的拓扑优化模型和方法,给出了相应的算例。优化方法中分别建立了设计相关载荷和非相关载荷的灵敏度列式,采用Rational Approximation of Material Properties(RAMP)...针对稳态热传导问题,以结构散热弱度最小为目标,建立了连续体传热结构的拓扑优化模型和方法,给出了相应的算例。优化方法中分别建立了设计相关载荷和非相关载荷的灵敏度列式,采用Rational Approximation of Material Properties(RAMP)方法对材料密度进行惩罚,利用优化准则法控制设计目标与材料分布,以敏度过滤技术抑制棋盘格效应。算例的结果直观显示了设计相关载荷和非设计相关载荷以及复合载荷对结构拓扑构型的影响规律,表明了该文考虑设计相关载荷的稳态热传导结构拓扑优化方法的合理性。展开更多
An effective evolutionary method for solving the structural topology design problems of heat conductive fields is presented in this paper.The topology optimization model based on minimizing the heat transport potentia...An effective evolutionary method for solving the structural topology design problems of heat conductive fields is presented in this paper.The topology optimization model based on minimizing the heat transport potential capacity dissipation 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 heat transport potential capacity dissipation 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 engineering applicability of the evolutionary method by con- trast with SIMP method,meanwhile we can come to a conclusion that higher speed of convergence and clearer optimal topology dis- tribution without intermediate elements can be attained by using evolutionary strategy,with the results laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering.展开更多
文摘In the viewpoint of heat transfer, heat transport potential capacity and its dissipation are defined based on the essence of heat transport phenomenon. Respectively, their physical meanings are the overall heat transfer capa-bility and the dissipation rate of the heat transfer capacity. Then the least dissipation principle of heat transport poten-tial capacity is presented to enhance the heat conduction efficiency in the heat conduction optimization. The principle is, for a conduction process with the constant integral of the thermal conductivity over the region, the optimal distribu-tion of thermal conductivity, which corresponds to the high-est heat conduction efficiency, is characterized by the least dissipation of heat transport potential capacity. Finally the principle is applied to some cases in heat conduction optimi-zation.
文摘针对稳态热传导问题,以结构散热弱度最小为目标,建立了连续体传热结构的拓扑优化模型和方法,给出了相应的算例。优化方法中分别建立了设计相关载荷和非相关载荷的灵敏度列式,采用Rational Approximation of Material Properties(RAMP)方法对材料密度进行惩罚,利用优化准则法控制设计目标与材料分布,以敏度过滤技术抑制棋盘格效应。算例的结果直观显示了设计相关载荷和非设计相关载荷以及复合载荷对结构拓扑构型的影响规律,表明了该文考虑设计相关载荷的稳态热传导结构拓扑优化方法的合理性。
基金Sponsored by National Natural Science foundation of China(grant no.5043601050375055)
文摘An effective evolutionary method for solving the structural topology design problems of heat conductive fields is presented in this paper.The topology optimization model based on minimizing the heat transport potential capacity dissipation 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 heat transport potential capacity dissipation 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 engineering applicability of the evolutionary method by con- trast with SIMP method,meanwhile we can come to a conclusion that higher speed of convergence and clearer optimal topology dis- tribution without intermediate elements can be attained by using evolutionary strategy,with the results laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering.
