边界无网格技术在噪声源识别中的应用

根据非共形面声全息对声辐射传播建模的高精确度要求，将边界无网格法引入声辐射传播建模过程中，实现对三维空间任意封闭曲面上Kirchhoff-Helmholtz边界积分方程高精度离散和求解计算。进一步研究非共形面声全息逆向重构问题的基本原理及其不适定性，采用了Landweber迭代正则化和L曲线正则化参数选取方法，从而确立有效的声场逆向重构求解方法。最后，还进行减速电机噪声源表面振动重构实验，验证研究的基于边界无网格的非共形面声全息的相关理论和方法可行。

Application of Boundary Meshless Method in Noise Source Diagnosis

The boundary meshless method （BMLM） was introduced to the modeling of sound radiation and transmission due to the requirement of high precision in the modeling using acoustic holography method. The Kirchhoff- Helmholtz boundary integral equations for arbitrary closed 3-D surface were discretized and solved accurately. Furthermore, the basic principle and illness of the reciprocal reconstruction process for non-conformal surface using acoustic holography were studied. A feasible method for solving this ill-posed problem based on Landweber iterating regulation algorithm and the L-curve parameter selection strategy was established. Thus, the illness of this inverse problem could be eliminated by this new method. A reconstruction experiment of a gear motor noise source was carried on. The results verified that the theories and methods of acoustic holography on non-conformal surface based on BMLM proposed in this article are feasible and reliable.