随机振动声辐射计算的三次B样条插值的统计边界元法

Calculation on the Acoustic Radiation Problem Caused by Random Vibrating Body by the Statistical Boundary Element Method Using Cubic B - Spleen Interpolating Function

基于三次Ｂ样条插值的统计边界无法，对随机振动结构声辐射的计算进行了研究。以随机振动球作为算例，计算了其在表面振速功率谱密度函数分布已知情况下的随机声场，计算结果与理论解比较表明：即使在边界剖分比较粗的情况下，利用该方法计算随机振动结构声辐射问题在相当宽的振动频率范围内，也能给出良好的计算精度。

In this paper, a study of the calculation on the acoustic radiation problem caused by random vibrating body is presented, based on the statistical boundary element method using cubic B - spline interpolating function. Taking a random vibrating sphere whose distribution of the power spectral density function of the vibrating speed on the surface is known as an example, the parameters in its random sound fields are calculated. The conclusion from the comparison between the calculating results and the analytic solutions shows that the calculating precision is satisfied in a wide range of vibrating frequencies by the meth od proposed here for the acoustic radiation problem caused by random vibrating body, in spite of the coarse division of the boundary surface.