摘要
为了集成不同特殊的材料以提升结构的性能,提出一种非均匀温度场下的热固耦合结构多相材料拓扑优化设计的方法。以应变能最小化作为目标函数以满足结构刚度要求,以各相材料的体积作为约束,建立非均匀温度场作用下的热固耦合结构多相材料拓扑优化数学模型。利用伴随矩阵法进行灵敏度分析,采用Heaviside过滤求解技术对灵敏度进行过滤,利用移动渐近线算法求解优化问题。数值算例结果表明,提出的非均匀温度场作用下的热固耦合结构多相材料拓扑优化方法是有效的。
To obtain better structural performance by exploiting the advantages of different materials, a topologi-cal design method of thermo-mechanical coupling structure using multiple materials under non-uniform temper-ature field is proposed in this study. The objective function was developed by minimizing the strain energy tosatisfy the stiffness requirements, and the structure volume was restricted. The multi-material topology optimiza-tion model of thermo-mechanical coupling structure subjected to non-uniform temperature field was also estab-lished. The sensitivities of the objective function and the constraint were solved by the adjoint matrix approach.The Heaviside filter technique was adopted to modify the sensitivities in to avoid the phenomenon of numericalinstability and the method of moving asymptotes was used to solve the topological optimization problem. The nu-merical examples were given to illustrate that the proposed method is correct and effective.
作者
占金青
龙良明
林春辉
杨湘杰
Zhan Jinqing;Long Liangming;Lin Chunhui;Yang Xiangjie(School of Mechanical and Electrical Engineering,Nanchang University,Nanchang 330031,China;School of Mechanotronics and Vehicle Engineering,East China Jiaotong University,Nanchang 330013,China)
出处
《华东交通大学学报》
2018年第5期117-123,共7页
Journal of East China Jiaotong University
基金
国家自然科学基金项目(51665011
51305136)
江西省自然科学基金项目(20161BAB206152)
关键词
热固耦合结构
拓扑优化
非均匀温度场
多相材料
thermo-mechanical structure
topology optimization
non-uniform temperature field
multiple mate-rials
