| 板厚对无障薄板声辐射特性影响的分析 |
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| 引用本文： | 刘宝,王德石,周奇郑.板厚对无障薄板声辐射特性影响的分析[J].声学学报,2017,42(5):593-600. |
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| 作者姓名： | 刘宝 王德石 周奇郑 |
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| 作者单位： | 海军工程大学 武汉 430033 |
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| 基金项目： | 国家自然科学基金项目(11372350)和海军工程大学青年基金项目(HGDQNSQJJ13006)资助 |
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| 摘 要： | 分析无障薄板的声辐射特性时通常忽略板厚对格林函数的影响而采用双层势计算.本文考虑板厚引起的声辐射阻抗,采用混合势计算结构表面声压与振速,并分析板厚对声辐射参数的影响。根据交界相容性条件,采用边界积分方程分别表示平板上下表面的声压和振速,并合并同类项.进一步将结构的动力方程代入混合势形式的振速方程中,离散声压差值和板的位移为振动模态叠加的形式,获得二重积分形式的声辐射阻抗,从而求解振动模态系数,确定声辐射特性参数.以水下简支矩形板为例计算对比了声辐射参数,并讨论了其对板厚的敏感性。结果表明:板厚引起的声辐射阻抗对声辐射参数的大小影响较小,但随着频率的增加致使共振频率发生较大偏移;在相同阶数的共振频率范围内,板厚度越大,采用双层势计算的误差越大。
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| 关 键 词： | 无障板 混合势 双层势 声振耦合 |
| 收稿时间： | 2015-12-02 |
The analysis for the influence of the plate thickness on acoustic radiation characteristics of an unbaffled thin plate |
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| Affiliation: | Naval University of Engineering Wuhan 430033 |
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| Abstract: | The influence of the thickness of the plate on the Green function is usually neglected and a double layer potential is adopted to calculate the sound radiation characteristics of an unbaffled thin plate. Considering the acoustic radiation impedance caused by the thickness, the sound pressure is calculated by using the mixed layer potential and the influence of the thickness on the acoustic radiation parameters is analyzed. According to compatibility conditions at the interface, the pressure and velocity of the plate surfaces are denoted by boundary integral equations and the same items in the expressions are merged. The structural dynamic equation is substituted into the velocity equations with the forms of mixed layer potential, and the pressure jump and the plate displacement are developed in series of the vibration modes to obtain radiation impedance of double integral form. So the coefficients of vibration modes are solved and the radiation characteristic parameters are determined. Sound radiation parameters are calculated and compared with the example of a simply supported rectangular plate and the sensitivity to the thickness is discussed. The result shows that the acoustic radiation impedance caused by the thickness has little effect on the magnitude of the parameters, but with the increase of the frequency, the resonance frequency is shifted more distinct; In the range of the same order resonant frequency, the greater the thickness of the plate is, the larger the parameter error calculated with the double layer potential is. |
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