考虑热振特性的连续体结构拓扑优化设计  

Topologic optimization design for a continuum structure considerating its thermal and vibrational performances

作　　者：刘远东[1] 莫军[1] 尹益辉[1] 徐兵[1] 

机构地区：[1]中国工程物理研究院总体工程研究所,四川绵阳621900

出　　处：《振动与冲击》2016年第17期113-116,共4页Journal of Vibration and Shock

基　　金：国家自然基金重点项目(11432011);中国工程物理研究院重点学科项目"计算固体力学"资助

摘　　要：为实现传热和振动条件下连续体结构的拓扑优化设计,以结构散热弱度最小化和动态特征值最大化加权函数为目标,建立传热和振动条件下连续体结构的多目标拓扑优化模型,实现了相应的算法和算例。方法中采用Rational Approximation of Material Properties(RAMP)方法对密度进行惩罚,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,通过归一化目标函数有效地避免了不同性质目标函数的量级差异。通过算例,获得了热-振权重系数对结构拓扑构型和目标函数(宏观结构的散热弱度和基频)的影响规律,算例结果表明了该方法的有效性。For thermal and vibrational design problems,taking the minimum dissipation of heat transport potential capacity and the maximum fundamental frequency as objectives,a thermal and vibrational collaborative optimization model for a continuum structure was developed and corresponding numerical simulations were conducted. In the model,the rational approximation of material properties（ RAMP） method was adopted to ensure clear topologies, the design objectives and material distribution were controlled with the optimization criteria method and the checkerboard effect was eliminated with the sensitivity filtering technique. To improve the smoothness of objective functions and avoid the singularity of numerical computation,the weighted objective functions were normalized. Based on numerical simulations,the effects of weight coefficients of thermal and vibrational optimization on the topologic configuration and objectives（ the dissipation of heat transport potential capacity and fundamental frequency） were investigated and the results indicated that the proposed method is effective.

关 键 词：连续体结构 热-振多目标 拓扑优化 优化准则法 

分 类 号：TB303[一般工业技术—材料科学与工程]