| 有限元/边界元法求解变厚度板的声辐射 |
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| 引用本文： | 张波,沈火明,支伟. 有限元/边界元法求解变厚度板的声辐射[J]. 科学技术与工程, 2010, 10(36) |
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| 作者姓名： | 张波 沈火明 支伟 |
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| 作者单位： | 西南交通大学力学与工程学院,成都,610031 |
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| 基金项目： | 西南交通大学基础科学研究基金资助 |
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| 摘 要： | 利用超参数壳单元建立了变厚度板的有限元方程，并求出谐波激励下板表面的位移响应和速度响应。利用Rayleigh积分公式得到变厚度板的声压，然后将声辐射功率表示为速度响应的正定二次型。将板的声辐射功率对设计变量求导，求出变厚度板声辐射的灵敏度。以厚度线性变化的简支矩形板为例进行了数值仿真,首先研究了倾斜角对固有频率以及板中心点挠度影响，然后进一步研究了激烈频率以及倾斜角对板声辐射特性的影响。
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| 关 键 词： | 变厚度板；有限元；声辐射；倾斜角；激励频率 |
| 收稿时间： | 2010-10-01 |
| 修稿时间： | 2010-10-01 |
Sound Radiation Analysis of Variable Thickness Plate Based on FEM and BEM |
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| zhang bo,shen huo min and zhi wei. Sound Radiation Analysis of Variable Thickness Plate Based on FEM and BEM[J]. Science Technology and Engineering, 2010, 10(36) |
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| Authors: | zhang bo shen huo min zhi wei |
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| Affiliation: | ZHANG Bo,SHEN Huo-ming,ZHI Wei(School of Mechanics & Engineering,Southwest Jiaotong University,Chengdu 610031,P.R.China) |
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| Abstract: | The equation of the finite element of the variable thickness plate was established by way of the subperparametric shell element,the displacement response and velocity response of plate in harmonic excitation were obtained by solving the equation of the finite element.The surface acoustic radiation pressure is computed by Rayleigh intergral.Then the acoustic radiation power can be expressed as a positive definite and Hermitian.Finally,the acoustic radiation sensitivity can be acquired by derivation of acoust... |
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| Keywords: | variable thickness plate finite element acoustic radiation inclination angle exciting frequency |
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