Author(s)

JIALONG ZHANG, XIAOFEI MIAO, HAIBO CHEN

Abstract

Periodic microstructures are often found in structures in the field of vibration acoustics and topology optimization is an effective method for the design of microstructures. Microstructural topology optimization of bi-material for minimizing the responses of the exterior acoustic-structure interaction system is investigated. The structural finite element method is combined with the acoustic boundary element method to analyse the response of the acoustic-structure interaction system, and the bidirectional coupling of the acoustic-structure system is considered. The equivalent macroscopic elastic matrix of microstructures is calculated by homogenization method. Topology optimization model is schemed based on the piecewise constant level set method. Considering the high efficiency of adjoint variable method in multi-variable and high complexity optimization problems, this research adopts the adjoint variable method to analyse the sensitivity of the objective function of the coupled system. Numerical results show that the response of the coupled systems can be reduced significantly, indicating the effectiveness of the optimization algorithm.

Keywords

microstructural, topology optimization, boundary element method, finite element method, PCLS