边界元方法在声辐射问题中的应用

Application of Boundary Element Method to Sound Radiation Problems

讨论了边界元方法在声辐射问题中的应用.对于由Helmholtz方程描述的声辐射问题,可建立对应的边界表面积分方程,但此方程在特征频率时其解不唯一.本文利用辐射物体内部参考点的积分方程作为补充限制条件,与边界表面积分方程进行线性叠加,可克服这一困难.针对脉动声源,计算表面声压,取得较好的效果.

This paper deals with the application of the boundary element method for sound radiation problems. For those governed by Helmholtz's equation a boundary surface integral equation is derived, however it has no unique solution at characteristic frequencies. To overcome the difficulty, the integral equations for interior point in radiating body are used as the supplementary restraints, and linearly added to the boundary surface integral equation. For a sound source of pulsating sphere, the sound pressure on the surface is calculated and satisfactory results obtained.