文章摘要
李亚,张楠.平面波激励矩形板辐射声计算中奇异积分处理方法研究[J].声学技术,2021,40(2):151~156
平面波激励矩形板辐射声计算中奇异积分处理方法研究
Research on singular integral method in the calculation of plane wave excited rectangular plate radiation sound wave
投稿时间:2020-01-16  修订日期:2020-04-09
DOI:10.16300/j.cnki.1000-3630.2021.02.001
中文关键词: 平面波  矩形板  奇点积分  辐射声
英文关键词: plane wave  rectangular plate  singular integral  radiated sound
基金项目:
作者单位E-mail
李亚 中国船舶科学研究中心船舶振动噪声重点实验室, 江苏无锡 214082 694339492@qq.com 
张楠 中国船舶科学研究中心水动力学重点实验室, 江苏无锡 214082  
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中文摘要:
      平面波垂直入射均匀薄板为一常见的透声问题;如果从振动声辐射角度来讲,这也是一个平面波激励板振动的声辐射问题,两种分析思路均已有经典方法可以采用,计算结果也理应一致。前者计算容易,但后者由于积分中含有奇点所以计算比较复杂。文章首先对有限薄板被激振动和声辐射的已有研究结果进行了回顾,重点处理了矩阵求解和奇点积分问题,给出了求解奇点积分的具体方法,对奇点的影响进行了分析,最后编写程序进行计算。计算结果表明,基于简正模态的计算方法在给定算例下的结果与理论分析结果接近。这表明基于振动模态分析的方法是可行的。此方法技术难度较大,但其可用于研究简支薄板的声场结构,以及曲面结构声辐射等复杂问题的求解。
英文摘要:
      The vertical incidence of a plane wave into a uniform thin plate is a common problem of sound transmission. From the viewpoint of vibration and sound radiation, it is also a problem of sound radiation from plate vibration excited by plane wave. Both of them can be analyzed by classical methods, and the calculation results should be consistent. The former is easy to calculate, but the latter is more complex due to the singularity in the integral. Firstly, the existing research results of the excited vibration and acoustic radiation of the finite thin plate are reviewed, and the matrix solution and singular integral problems are focused and solved in detail. Then, the specific method of solving singular integral is given, and the influence of singularity is analyzed. Finally, the corresponding program is prepared for computation, and it can be seen that the calculation results based on normal modes are in good agreement with the ideal results. It shows that the method based on vibration modal analysis is feasible. The implementation of this method is very difficult, but it can be used to study the sound field around simply supported thin plate and solve the sound radiation problem of curved surface structure.
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