板厚对无障薄板声辐射特性影响的分析
发布时间：2019-03-26 09:03
【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。
[Abstract]:In the analysis of acoustic radiation characteristics of barrier-free plates, the effect of plate thickness on Green's function is usually ignored and the double-layer potential is used to calculate. In this paper, the acoustic radiation impedance caused by plate thickness is considered. The mixing potential is used to calculate the sound pressure and vibration velocity on the surface of the structure, and the effect of the plate thickness on the acoustic radiation parameters is analyzed. According to the boundary compatibility condition, the sound pressure and vibration velocity of the upper and lower surfaces of the plate are represented by the boundary integral equation, and the same term is combined. Furthermore, the dynamic equation of the structure is substituted into the vibration velocity equation in the form of mixing potential. The discrete acoustic pressure difference and the displacement of the plate are in the form of superposition of vibration modes, and the acoustic radiation impedance in the form of double integral is obtained, so that the vibration mode coefficient can be solved. The parameters of acoustic radiation characteristics are determined. Taking the underwater simply supported rectangular plate as an example, the acoustic radiation parameters are calculated and compared, and the sensitivity to the thickness of the plate is discussed. The results show that the acoustic radiation impedance caused by the thickness of the plate has little effect on the acoustic radiation parameters, but with the increase of the frequency, the resonance frequency will shift greatly. In the resonance frequency range of the same order, the greater the thickness of the plate is, the larger the error of the calculation using the double-layer potential is.
【作者单位】： 海军工程大学;
【基金】：国家自然科学基金项目(11372350) 海军工程大学青年基金项目(HGDQNSQJJ13006)资助
【分类号】：O422.6
本文编号：2447389
[Abstract]:In the analysis of acoustic radiation characteristics of barrier-free plates, the effect of plate thickness on Green's function is usually ignored and the double-layer potential is used to calculate. In this paper, the acoustic radiation impedance caused by plate thickness is considered. The mixing potential is used to calculate the sound pressure and vibration velocity on the surface of the structure, and the effect of the plate thickness on the acoustic radiation parameters is analyzed. According to the boundary compatibility condition, the sound pressure and vibration velocity of the upper and lower surfaces of the plate are represented by the boundary integral equation, and the same term is combined. Furthermore, the dynamic equation of the structure is substituted into the vibration velocity equation in the form of mixing potential. The discrete acoustic pressure difference and the displacement of the plate are in the form of superposition of vibration modes, and the acoustic radiation impedance in the form of double integral is obtained, so that the vibration mode coefficient can be solved. The parameters of acoustic radiation characteristics are determined. Taking the underwater simply supported rectangular plate as an example, the acoustic radiation parameters are calculated and compared, and the sensitivity to the thickness of the plate is discussed. The results show that the acoustic radiation impedance caused by the thickness of the plate has little effect on the acoustic radiation parameters, but with the increase of the frequency, the resonance frequency will shift greatly. In the resonance frequency range of the same order, the greater the thickness of the plate is, the larger the error of the calculation using the double-layer potential is.
【作者单位】： 海军工程大学;
【基金】：国家自然科学基金项目(11372350) 海军工程大学青年基金项目(HGDQNSQJJ13006)资助
【分类号】：O422.6
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1 江涛,陈艳;利用激光感应热弹性波测定金属板厚度的基础研究[J];激光与光电子学进展;2000年11期
，本文编号：2447389
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