Research on singular integral method in the calculation of plane wave excited rectangular plate radiation sound wave

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.