结构声辐射的虚边界元最小二乘法及仿真研究

提出用虚边界元最小二乘法研究结构体声辐射,推导了该方法计算振动结构辐射声场的计算公式,与常规边界元法相比,虚边界元最小二乘法避免了奇异积分的数值处理,且系数矩阵是对称的,通过仿真计算与解析解验证。结果表明,本文方法思想简单,程序处理容易,能够有效克服特征频率处解的非唯一问题,在边界附近解的精度较高等优点,便于工程应用。

Simulation for Sound Radiation of Structure Based on Virtual Boundary Element Least Square Method

In this paper, virtual boundary element least square method is applied to study structural sound radiation. The formula of virtual boundary element least square method is founded and the computer program is coded to calculate the acoustic radiation of the structure. Compared with the general boundary element method, numerical treatment for singular integration is avoided, and the coefficient matrix is a symmetrical one. The simulation result of these numerical examples show that the method is simple and efficient, and has higher calculation precision of the near-field of acoustic radiation. The method can also overcome the non-uniqueness problem effectively. It can be suitable for engineering application.