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边界元特征值分析及 Burton-Miller法探究

郑昌军 高海峰 杜磊 陈海波

计算力学学报2016,Vol.33Issue(3):335-342,8.
计算力学学报2016,Vol.33Issue(3):335-342,8.DOI:10.7511/jslx201603009

边界元特征值分析及 Burton-Miller法探究

BEM eigenvalue analysis and the investigation of the Burton-Miller method

郑昌军 1高海峰 2杜磊 3陈海波4

作者信息

  • 1. 合肥工业大学噪声振动工程研究所,合肥230009
  • 2. 太原理工大学力学学院,太原030024
  • 3. 大连理工大学数学科学学院,大连116024
  • 4. 中国科学技术大学近代力学系,合肥230027
  • 折叠

摘要

Abstract

A boundary element eigenvalue analysis method is developed with a contour integral method w hich is used to convert the boundary element nonlinear eigenvalue problems into small generalized eigenvalue problems .Numerical examples are utilized to demonstrate the accuracy of the developed method .Fictitious eigenfrequency phenomena of the conventional boundary integral equation ,its normal derivative formulation and the Burton‐Miller formulation are investigated through exterior acoustic examples .The actual effect of the Burton‐Miller formulation on the fictitious eigenfrequency problems is revealed and the optimal choice of the coupling parameter is confirmed .

关键词

边界元法/虚假特征频率/Burton-Miller法/叠加常数/围道积分方法

Key words

boundary element method/fictitious eigenfrequency/Burton-Miller method/coupling parameter/contour integral method

分类

数理科学

引用本文复制引用

郑昌军,高海峰,杜磊,陈海波..边界元特征值分析及 Burton-Miller法探究[J].计算力学学报,2016,33(3):335-342,8.

基金项目

国家自然科学基金(11172291,11402071)资助项目. ()

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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