摘要
针对热弹性连续体拓扑优化存在的中间密度问题,以骨架式结构为研究出发点,分析了热、力耦合场作用下的结构拓扑构型设计,对比了SIMP和RAMP两种材料惩罚模型对消除中间密度值的应用效果,阐述了在相同惩罚模型下,拓扑优化解对热、力两类载荷相对大小的依赖性。在此基础上,提出以不同惩罚模型应对两类载荷的处理方法,通过骨架式结构和连续体结构数值算例,验证了该方法的可行性和有效性。
This paper investigates the topology structure stiffness with the volume constraint and optimization of thermo-elastic structure for maximizing the the uniform temperature distribution. Firstly, the influence of both the thermal loading and the mechanical loading on optimal design is studied. Secondly, Comparison of the effect of eliminating the intermediate density between power law SIMP （solid isotropic material with penalization） and RAMP （rational approximation of material properties） is made. The difficulties of the non-monotonous behavior of the compliance and the intermediate density of optimal solution arise from the same penalization to both the temperature loadings and the force loadings. To resolve these problems, the new approach with the different penalization to the different loading is developed to eliminate the intermediate density. Numerical results show that the proposed method is valid for the design of thermo-elastic structure.
出处
《力学学报》
EI
CSCD
北大核心
2009年第6期878-887,共10页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(90405016
10676028)
973计划(2006CB601205)
江西省教育厅科技项目(GJJ09189)
南昌航空大学科研基金(EA200703093
EC200803153)资助项目~~
关键词
拓扑优化
热弹性结构
惩罚方法
灵敏度分析
中间密度值
topology optimization, thermo-elastic mediate densities structure, penalization method, sensitivity analysis, inter
