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一种新的声场重建方法
引用本文:杨瑞梁,汪鸿振.一种新的声场重建方法[J].船舶力学,2005,9(3):137-144.
作者姓名:杨瑞梁  汪鸿振
作者单位:1. 中原工学院能环系,河南,郑州,450007
2. 上海交通大学振动、冲击、噪声国家重点实验室,上海,200240
摘    要:提出了一种声场重建的新方法,这种方法适合求解类似椭球的声源产生的声场声逆问题.视问题的复杂程度和已知声压的点把整个声场划分为若干个区域,把区域内的声场表示为该区域节点的线性叠加.通过已知声压点的方程联立,使用最小二乘法和奇异值分解来计算区域节点的近似声压,然后就可以确定整个区域的声场.这种新方法只需要较少的测量点,就能高效并且比较精确地重建整个声场,其适用范围不仅可以包括一般的球状声源、椭球声源,而且能够包括近似类椭球声源的声场重构.

关 键 词:声场重建  无限单元  HELS方法  椭球坐标系
收稿时间:2003-08-18

A Novel Acoustic Reconstructing Method
YANG Rui-liang,WANG Hong-zhen.A Novel Acoustic Reconstructing Method[J].Journal of Ship Mechanics,2005,9(3):137-144.
Authors:YANG Rui-liang  WANG Hong-zhen
Abstract:A new method of acoustic reconstructing is proposed, which is suitable for inverse problem of acoustic field radiated from a source similar to an elli psoid.Some domains are used to divide the entire acoustic field according to the complexity of the problems and the location of the measured points.The radiated acoustic pressures are obtained by nodal pressures, which can be obtained by th e pressures of the measured points,the least-squares method and the singular val ue decomposition (SVD) method. Once these coefficients are specified, the whole acoustic field can be reconstructed.This novel method can reconstruct the whole acoustic field efficiently and exactly using few measured points.This method is suitable for reconstructing acoustic pressures field radiated not only from a sp here or an ellipsoid, but also from other sources similar to an ellipsoid.
Keywords:acoustic reconstructing  infinite element method (IEM)  Helmholtz equationleast-squares method (HELS)  ellipsoidal coordinates
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