对两相材料薄板声功率及其灵敏度研究  

Analysis of sound power and sensitivity of bi-material thin plate

作　　者：薛晓理[1] 吴锦武[1] 赵龙胜[1] 

机构地区：[1]南昌航空大学飞行器工程学院,江西南昌330063

出　　处：《声学技术》2014年第5期393-397,共5页Technical Acoustics

基　　金：国家自然科学基金资助项目(51265038);航空科学基金资助项目(2011ZA56002)

摘　　要：采用有限元与声辐射模态相结合方法研究两相材料薄板声辐射声功率,并分析结构声功率关于设计参数的灵敏度。应用有限元方法来处理结构的振动环节,将位移向量用振型的线性组合表示,用振型叠加法求解模态坐标得到位移向量从而求出结构的速度分布;在声辐射环节,采用声辐射模态展开从而求得声功率。将薄板声功率对设计参数求偏导,得到声功率灵敏度。以四边简支两相材料薄板为例,着重对声功率关于板密度和厚度的灵敏度进行了研究。In this paper, the sound power and sound radiation sensitivity of bi-material thin plate is studied by using FEM and sound radiation mode method. On the aspect of the structure vibration solved by FEM, the displacement vector is regarded as a linear combination of the modals, and using modal superposition method solves the modal coordinates to get the displacement vector and the velocity distribution of the structure;on the aspect of sound radiation, the sound power is obtained by the expansion of the acoustic radiation modes. The sound radiation sensitivity is defined by the partial derivatives of sound radiation power with respect to design variables. Taken a simple supported bi-material thin plate as a simulation example, the sound power sensitivities to the distribution density and thickness of the plate are investigated.

关 键 词：声辐射模态 声功率 灵敏度 两相材料薄板 

分 类 号：TB532[理学—物理]