基于分布源边界点法的声散射场全息重建和预测理论

应用科学学报 ›› 2005, Vol. 23 ›› Issue (4): 384-388.

基于分布源边界点法的声散射场全息重建和预测理论

李卫兵, 陈剑, 毕传兴, 陈心昭

合肥工业大学动态测试中心, 安徽合肥 230009

收稿日期:2004-05-15 修回日期:2004-07-05 出版日期:2005-07-31 发布日期:2005-07-31
作者简介:李卫兵(1979-),男,湖北嘉鱼人,博士生,E-mail:hf_Lwb@sina.com;陈心昭(1939-),男,浙江余姚人,教授,博导,E-mail:xzchen@hfut.edu.cn
基金资助:
国家自然科学基金资助项目(50275044);教育部重点资助项目(02126)

Holographic Reconstruction and Prediction of Acoustic Scattering Field Using a Distributed Source Boundary Point Method

LI Wei-bing, CHEN Jian, BI Chuan-xing, CHEN Xin-zhao

Dynamic Measurement Center, Hefei University of Technology, Hefei 230009, China

Received:2004-05-15 Revised:2004-07-05 Online:2005-07-31 Published:2005-07-31

摘要/Abstract

摘要： 通过在边界结点法向方向上,背离分析域一定距离处构造虚构点源;用虚构点源在边界结点、全息测量点、重建点和预测点处产生的特解,形成满足系统方程的特解矩阵,来计算散射场声学量之间的传递矩阵;建立了基于分布源边界点法的声散射场重建和预测理论模型.该方法避开了基于边界元法的声全息重建和预测模型中的变量插值、数值积分和奇异积分的处理,具有计算速度快、计算精度高、计算稳定性好等优点.

关键词: 边界点, 分布源, 散射场, 声全息

Abstract: A theoretical model for reconstruction and prediction of acoustic scattering fields is built based on the distributed source boundary point method (DSBPM).In this method, the transform matrices of acoustic quantities are formed with particular matrices at boundary nodes, hologram measurement points, reconstruction points and prediction points generated by the imaginary point sources, which is localized on the normal direction of the boundary nodes and a distance away from the analysis domain.Compared with NAH based on the boundary element method (BEM), variable interpolation, numerical calculation and disposal of singular integral are avoided in this method.It has advantages of fast calculation, high precision, good stability, simplicity and clarity in computation.

Key words: scattering field, boundary point, acoustic holography, distributed source

中图分类号:

李卫兵, 陈剑, 毕传兴, 陈心昭. 基于分布源边界点法的声散射场全息重建和预测理论[J]. 应用科学学报, 2005, 23(4): 384-388.

LI Wei-bing, CHEN Jian, BI Chuan-xing, CHEN Xin-zhao. Holographic Reconstruction and Prediction of Acoustic Scattering Field Using a Distributed Source Boundary Point Method[J]. Journal of Applied Sciences, 2005, 23(4): 384-388.