Follow-up optimized phononic band structure design based on reserved inclusions

Abstract

For functional demands, inclusions are always reserved beforehand in a structural design. In this paper, a follow-up optimized phononic band structure design is performed based on a 2D structure with reserved inclusions but no absolute band gaps for the purpose to simultaneously achieve acoustic abatement except for functional demands. Firstly, the strategy to optimize the band structure based on bidirectional evolutionary structural optimization algorithm is proposed. Then the effects of geometrical or physical parameters on the final optimization results are discussed. Numerical results show that there is a material gravitation phenomenon around the inclusions in the topological optimization. Factors affecting the material gravitation are discussed in details. This work will lead an important guidance in the multifunctional design of multi-phase phononic crystals.