Topology optimization of thermoelastic structures using the guide-weight method
Topology optimization of thermoelastic structures using the guide-weight method
复制标题
使用引导权重法进行热弹性结构拓扑优化
DOI：
10.1007/s11431-014-5521-5
复制
发表时间：
2014-05
影响因子：
4.6
通讯作者：
Zhou YanHua
中科院分区：
文献类型：
--
作者：
Liu XinJun;Wang Chao;Zhou YanHua
本文将导权法引入到热弹性结构的拓扑优化问题中。首先，选择具有不同惩罚因子的固体各向同性微结构(SIMP)作为热力学场的材料内插模型。然后给出了指导权重法的一般准则。将导重法的两种迭代公式应用于热弹性结构的拓扑优化，一种是最小化结构在材料约束下的平均柔度，另一种是最小化结构在位移约束下的总重量。针对每一类问题，基于SIMP模型进行了灵敏度分析。最后，选取了四个经典的二维数值算例和一个考虑了热场的三维数值算例进行了计算。讨论了影响最优拓扑结构的因素，并对导权方法的性能进行了测试。结果表明，导权法具有迭代公式简单、收敛速度快、拓扑图结果较为清晰等优点。
The guide-weight method is introduced to solve the topology optimization problems of thermoelastic structures in this paper. First, the solid isotropic microstructure with penalization (SIMP) with different penalty factors is selected as a material interpolation model for the thermal and mechanical fields. The general criteria of the guide-weight method is then presented. Two types of iteration formulas of the guide-weight method are applied to the topology optimization of thermoelastic structures, one of which is to minimize the mean compliance of the structure with material constraint, whereas the other one is to minimize the total weight with displacement constraint. For each type of problem, sensitivity analysis is conducted based on SIMP model. Finally, four classical 2-dimensional numerical examples and a 3-dimensional numerical example considering the thermal field are selected to perform calculation. The factors that affect the optimal topology are discussed, and the performance of the guide-weight method is tested. The results show that the guide-weight method has the advantages of simple iterative formula, fast convergence and relatively clear topology result.
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影响因子：
--
作者：
B. Liu
通讯作者：
B. Liu
DOI：
10.1016/0045-7825(91)90049-c
发表时间：
1991-08
影响因子：
7.2
作者：
S. Foale;J. Thompson
通讯作者：
S. Foale;J. Thompson
DOI：
10.1016/0045-7825(91)90045-8
发表时间：
1991-08
影响因子：
7.2
作者：
G. Rozvany;M. Zhou
通讯作者：
G. Rozvany;M. Zhou
影响因子：
2.2
作者：
Kongtian Zuo;Q. Qian;Yudong Zhao;Liping Chen
通讯作者：
Kongtian Zuo;Q. Qian;Yudong Zhao;Liping Chen
影响因子：
3.9
作者：
P. Pedersen;N. L. Pedersen
通讯作者：
P. Pedersen;N. L. Pedersen