An theoretical study has been made of the sound generated by the impact of a sphere onto an infinite elastic plate. The sound pressure is the sum of the sound radiated by sphere, by plate and reflected sound from plate by sphere.
It is approximated that the reaction force is half sine pulse when sphere impacts plate.
It is assumed that the plate is rigid when the sound pressure reflects from the plate.
The sound pressure from the plate is obtained with the use of transform method to solve the coupled differential equation describing the transverse motion of the plate and the velocity potential in the fluid. A Hankel transform is used on the spatial variable and a Laplace transform on the temporal variable.
The inverse Hankel transform is evaluated using saddle point method. The inverse Laplace transform is expressed as a convolution integral with the use of residue theorem.
The sound pressure from the sphere obtained by Koss is used.
무한평판에 탄성구를 충돌시켰을때 parfield Sound pressure를 구하고 peak pressure와 Impact parameter와의 관계를 알아보았다.
탄성구가 무한평판에 충돌할때의 작용력을 half sine으로 가정하고 Sphere와 plate에 의한 Sound pressure를 구하고 Sphere에 의한 Sound pressure의 plate에서 반사는 plate를 rigid하다고 가정하여 impact에 의한 Sound pressure를 구했다.
평판에서의 radiation을 transform method와 Saddle point method에 의해 Parfield pressure를 구하고 탄성구에서의 radiation은 koss에 의한 결과를 이용했다.
