随机振动结构声辐射的统计边界点法分析

The statistical boundary point analysis of acoustic radiation problem caused by the random vibrating body

文章利用作者提出的统计边界点法 ,对随机振动结构声辐射的计算进行了研究。文中详细地介绍了统计边界点法 ,并以随机振动球为例 ,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 ,并与解析解以及统计边界元法的计算结果进行了比较。结果表明 :该方法与统计边界元法相比 ,在边界剖分相同的情况下 ,能够在相当宽的振动频率范围内 。

In this paper,a study of the calculation on the acoustic radiation problem caused by random vibrating body is present,based on the statistical boundary point method (SBPM) put forward by the author for the first time.The SBPM is introduced in detail in this paper.Taking a random vibrating sphere whose distribution of the power spectral density function of the vibrating speed on the surface are known as an example,the paramenters in its random sound fields are calculated.The conclusion from the comparison between the calculating results,the analytic solutions and those of the statistical boundary element method (SBEM) shows that the calculating precision of the SBPM is much better than that of the SBEM in a wide rang of vibrating frequencies for the acoustic radiation problem caused by random vibrating body with the same division of the boundary surface.