热弹性结构的拓扑优化设计

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.

TOPOLOGY OPTIMAL DESIGN OF THERMO-ELASTIC STRUCTURES

This paper investigates the topology optimization of thermo-elastic structure for maximizing the structure stiffness with the volume constraint and 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.