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

Abstract

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.