单元微分法在拓扑优化中的运用  

Application of Element Differential Method in Topology Optimization

作　　者：杨小辉 YANG Xiaohui(Department of Mechanical and Electrical Engineering,Guangdong University of Technology,Guangzhou 510006,China)

机构地区：[1]广东工业大学机电工程学院,广州510006

出　　处：《机电工程技术》2020年第7期15-17,共3页Mechanical & Electrical Engineering Technology

摘　　要：拓扑优化发展至今,已经被广泛运用于诸多工程领域,但是随着工程问题越来越复杂,拓扑优化这一领域还需要更深入的研究。将一种有效的数值求解方法,即单元微分法(EDM),运用于拓扑优化,通过将EDM与基于SIMP法的拓扑优化结合,建立拓扑优化数学模型并对相应结构进行分析。一系列数值仿真结果表明,基于EDM的拓扑优化得到的最终拓扑结构与基于FEM的拓扑优化得到的结构基本一致,而且前者所需的迭代次数要少于后者,也证明了EDM在拓扑优化应用中的有效性和准确性。Topology optimization has been widely used in many engineering fields since its development.However,with the increasing complexity of engineering problems,topology optimization needs more in-depth research.An effective numerical solution method namely element differentiation method(EDM) was applied to topology optimization.By combining EDM with topology optimization based on SIMP method,a mathematical model of topology optimization was established and the corresponding structure was analyzed.A series of numerical simulation results show that the final topology obtained by topology optimization based on EDM is essentially in agreement with that obtained by topology optimization based on FEM,and the number of iterations required by the former is less than that of the latter,which also proves the effectiveness and accuracy of EDM in topology optimization application.

关 键 词：EDM 等参单元 拓扑优化 形函数 SIMP 

分 类 号：TB114[理学—概率论与数理统计]