声辐射计算的改进体积源边界点法
The Enhanced Volume Source Boundary Point Method (EVSBPM) for the calculation of acoustic radiation problem
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摘要: 对体积源边界点法做了较大的改进,提出了在加权余量意义下,通过在边界结点法线方向(背离分析域)构作的四面体上对Helmholtz方程的基本解进行积分,来对偶地表达系统方程中的系数矩阵,从而求解结构振动声辐射问题。对大量算例和模拟车床主轴箱辐射声场的改进体积源边界点法分析表明:改进的方法在计算速度较原体积源边界点法提高了10余倍的情况下,在计算精度、计算稳定性、对振动体任意表面几何形状的适应性以及克服解的非唯一性等方面,表现出了良好的性态。Abstract: The volume source boundary point method (VSBPM) put forward is greatly improved so that it will speed up the VSBPM solution of the acoustic radiation problem caused by the vibrating body. The fundamental solution provided by Helmholtz equation is enforced in a weighted residual sense over a tetrahedron located on the normal line of the boundary node (directed away from the field under research) to replace the coefficient matrices of the system equation. Through the enhanced volume source boundary point analysis of various examples and the sound field of a simulated axial box of the lathe tool, it has revealed that the EVSBPM works on the aspects of its calculating precision and stability, adaptation to arbitrary shape of vibrating body, its ability to overcome the non-uniqueness problem as well as its calculating velocity more than 10 times higher than the VSBPM's.