The Theoretical Research on Solving Accuracy Based on Level Set Topology Optimization

2nd International Conference on Frontiers of Materials Synthesis and Processing

Qu, Dongyue^1 ; Zhang, Haibing^1 ; Xu, Jianan^1 ; Chen, Qiang^1

College of Mechanical and Electrical Engineering, Harbin Engineering University, Heilongjiang, China^1

关键词: Constraint conditions;    Level set functions;    Objective functions;    Optimization problems;    Reaction diffusion equations;    Theoretical research;    Topological optimization;    Topology Optimization Method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/493/1/012030/pdf
DOI  :  10.1088/1757-899X/493/1/012030

来源: IOP

【 摘 要 】

Based on the level set topological optimization method, a mathematical model for the optimization problem is established to maximize the stiffness of the structure as the objective function, and the structure volume is used as the constraint conditions. The level set function is updated by the reaction diffusion equation; the shape and topology of the structure are optimized together. In order to solve the problem that the low accuracy of solving for level set topology optimization method, a method to improve the accuracy of the level set topology optimization method was proposes by using grid encryption and node encryption method. The validity of this method is verified by the relevant examples.