A new kind of numerical method , the statistical distributed source boundary point method ( sdsbpm ) , used to calculate the acoustic radiation problem caused by the random vibrating body is presented ; a test for the effectiveness of the sdsbpm is carried out on the aspects of its calculation precision , adaptation to the geometric shape of vibrating body as well as its ability to overcome the non - uniqueness problem through various examples with different boundary shapes and different boundary value distributions 第四章提出了一种新型的随机振动声辐射计算方法?统计分布源边界点方法；通过诸多不同边界曲面和不同边界量分布的随机振动声辐射算例，从计算精度、对振动体表面几何形状的适应性以及克服解的非唯一性等方面，对统计分布源边界点方法的有效性进行了考证。
The formulation for the error analysis of acoustic radiation problem calculated by the boundary point method ( bpm ) is put forward ; the physical explanation of the boundary point analysis of the acoustic radiation problem is given ; the influence of the particular solution on the calculation stability of the bpm is studied ; the etthanced volume source boundary point method ( evsbpm ) is presented ; a test for the effectiveness of the evsbpm is carried out on the aspects of its calculation precision , calculation speed , calculation stability , adaptation to the geometric shape of vibrating body as well as its ability to overcome the non - uniqueness problem through various examples with different boundary shapes and different boundary value distributions 第三章导出了边界点方法分析振动声辐射问题的误差估计理论公式，揭示了边界点方法分析振动声辐射问题的物理本质；研究了特解场的局部特性对边界点方法的数值稳定性的影响；改进了现有的特解场构造方法，提出了改进体积源边界点方法；通过诸多不同边界曲面和不同边界量分布的声辐射算例，从计算精度、计算速度、计算稳定性、对振动体表面几何形状的适应性以及克服解的非唯一性等方面，对改进体积源边界点方法的有效性进行了考证。
