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
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
对于具有较低导热系数和较高生热率的热源材料(自发热体),通过优化植入内部的高导热材料的布局以降低内部温度,是实现自发热体冷却的重要措施.如何设计自发热体内部高导热材料的布局,是实现热源内部热量高效收集和温度控制的关键问题....对于具有较低导热系数和较高生热率的热源材料(自发热体),通过优化植入内部的高导热材料的布局以降低内部温度,是实现自发热体冷却的重要措施.如何设计自发热体内部高导热材料的布局,是实现热源内部热量高效收集和温度控制的关键问题.本文研究建立植入式导热路径的拓扑优化设计方法,考虑高导热材料的植入对于热源分布的影响,以实现自发热体冷却的内置导热路径最优设计.基于固体各向同性材料惩罚模型(solid isotropic material with penalization,SIMP)拓扑描述方法,以高导热材料的相对密度为导热路径描述参数,分别选择合适的热传导系数和生热率的插值模型以建立热传导系数和生热率与相对密度的关系,并以结构散热弱度最小为目标,建立了植入式导热路径设计的拓扑优化数学模型和求解方法.该优化模型能够反映高导热材料的布局对热源布局的影响.通过具体算例,给出了贴片式散热路径与植入式散热路径的拓扑优化结果.设计结构表明,两种优化模型获得的最优散热构型存在较大不同,并且考虑植入高导热材料对热源布局影响的设计结果散热性能优于贴片式散热路径的设计结果.数值算例验证了本文所提出方法的正确性和有效性.展开更多
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.
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.
文摘对于具有较低导热系数和较高生热率的热源材料(自发热体),通过优化植入内部的高导热材料的布局以降低内部温度,是实现自发热体冷却的重要措施.如何设计自发热体内部高导热材料的布局,是实现热源内部热量高效收集和温度控制的关键问题.本文研究建立植入式导热路径的拓扑优化设计方法,考虑高导热材料的植入对于热源分布的影响,以实现自发热体冷却的内置导热路径最优设计.基于固体各向同性材料惩罚模型(solid isotropic material with penalization,SIMP)拓扑描述方法,以高导热材料的相对密度为导热路径描述参数,分别选择合适的热传导系数和生热率的插值模型以建立热传导系数和生热率与相对密度的关系,并以结构散热弱度最小为目标,建立了植入式导热路径设计的拓扑优化数学模型和求解方法.该优化模型能够反映高导热材料的布局对热源布局的影响.通过具体算例,给出了贴片式散热路径与植入式散热路径的拓扑优化结果.设计结构表明,两种优化模型获得的最优散热构型存在较大不同,并且考虑植入高导热材料对热源布局影响的设计结果散热性能优于贴片式散热路径的设计结果.数值算例验证了本文所提出方法的正确性和有效性.
