Abstract
This paper proposes an optimum design method for two-dimensional locally resonant sonic materials (LRSM) using the level set-based topology optimization method and Finite Element Method (FEM). The LRSM is a new type of phononic materials and the material uses the local resonance effect. Although scale of a phonic crystal in audible sound is a few meters, the scale of the LRSM is a few centimeters. Therefore, it is possible to develop an innovative sound barrier by using the LRSM. In this paper, first, basic formulation of the level set-based topology optimization method is shown. To obtain a clear and smooth optimal configuration, the topology optimization is formulated by using the concept of the phase field method and level set-based structural boundary expressions. Next, concept of the locally resonant sonic materials is briefly discussed and formulation of the topology optimization method for the design of a two-dimensional LRSM is proposed.
