散热结构拓扑优化目标函数的讨论  

Discussion of Objective Functions in Heat Conduction Topology Optimization

作　　者：乔赫廷[1] 张永存[1] 刘书田[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116023

出　　处：《中国机械工程》2011年第9期1112-1117,1122,共7页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(10721062;10902019;90816025);国家重点基础研究发展计划(973计划)资助项目(2006CB601205);大连理工大学人才启动经费项目;国家科技重大专项(2009ZX4014-034)

摘　　要：将几何平均温度作为最高温度的近似引入到散热结构拓扑优化中,建立了新的散热结构拓扑优化模型,采用伴随法推导了与该函数对应的灵敏度分析列式,并通过比较最高温度、最大温度梯度以及温度方差(衡量温度场均匀程度的指标)等特征指标来研究基于几何平均温度的优化模型与两个传统优化模型在散热结构拓扑优化设计中的差异以及各自适用的设计范围。Using geometric average temperature as a good approximation for the maximum temperature which was proposed as the objective function into heat conduction topology optimization model,and a new design model was developed for heat conduction topology optimization.Sensitivity of the new objective function was derived by using the adjoint method.By comparing the maximum temperature,the maximum temperature gradient,and the nodal temperature with the design results respectively,the differences among these three models as well as their scopes of application were discussed through theory and numerical analyses.

关 键 词：拓扑优化 散热弱度 温度方差 几何平均温度 有限元 

分 类 号：O302[理学—力学] O39