开口/封闭薄壳体声辐射和散射的统一边界积分方程解法

推导了在二维和三维空间下开口和封闭薄壳体在任意阻抗边界条件下声辐射和散射的统一边界积分方程.相对于以前的求解方法，该方程求解声辐射和散射问题具有相同的影响矩阵，能够同时求解薄壳体气动和振动噪声的辐射和散射现象，以及分析壳体声阻抗对声波传播的影响.推导的方程可以应用于叶轮机械、管道等噪声和消声器消声性能的预测等方面.在此方程基础上，可以进一步考虑运动边界和运动介质对声辐射和散射的影响.关键词：薄壳体声阻抗积分方程边界元方法

A unified boundary integral equation for sound radiation and scattering from the open/closed thin bodies

A unified boundary integral equation is proposed to solve the sound radiation and scattering from the open/closed thin-bodies with arbitrary acoustic impedance in two- and three-dimensional domain. The proposed integral equation has the same influence matrix for both acoustic radiation and scattering problems and can synchronously solve the sound radiation and scattering from non-compact thin-body with arbitrary acoustic impedance condition, which can be applied to predict the noise of turbomachinery, pipe, and the muffler performance. In further work, the effects of moving surface and moving medium on sound radiation and scattering should be considered.