A Shape and Topology Optimization Method Incorporating Level Set Boundary Expressions for Vibration Problems

摘要

For the design of mechanical structures, vibration characteristics such as eigenmodes and eigenfrequencies are important factors which determine the dynamic performance. This paper propose a topology optimization method for vibration problems based on level set structural boundary expressions and the use of a fictitious interface energy. First, we briefly discuss the basic details of the topology optimization method incorporating level set-based structural boundary expressions. The topology optimization method is then applied to the problem of maximizing the lowest eigen-frequency. Next, an optimization algorithm for the proposed method is constructed using the Finite Element Method (FEM). Finally, to confirm the validity and utility of the proposed topology optimization method, two-dimensional and three-dimensional numerical examples are provided.