【摘 要】
：
Locally Resonant Sonic Materials (LRSM)[1,2] are new type of sound insulating material, which consist of three different materials.The performances of the materials depend on its geometrical shape and
【机 构】
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Dept.of Mechanical Science and Engineering, Nagoya University, 464-8603, Nagoya, Japan
【出 处】
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7th China-Japan-Korea Joint Symposium on Optimization of Str
论文部分内容阅读
Locally Resonant Sonic Materials (LRSM)[1,2] are new type of sound insulating material, which consist of three different materials.The performances of the materials depend on its geometrical shape and topology.This paper presents topology optimization method for the LRSM based on the level set method and the Finite Element Method (FEM).First, based on the level set-boundary expressions, a topology optimization problem is formulated that addresses the design of the LRSM.Here, to regularize the topology optimization problem, a fictitious interface energy model [3] is applied to the objective functional.Second, the topological derivatives of the objective functional and the constraint functional are derived based on the adjoint variable method.Based on the formulation, a topology optimization algorithm is constructed that employs the FEM when solving governing and adjoint equation and updating the level set function.Finally, several two-dimensional numerical examples are provided to confirm the usefulness and the validity of the proposed topology optimization method.
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