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Inverse Eigenvalue Problems for a Structure with Linear Parameters

WU Liang-sheng YANG Jia-hua WEI Yuan-qian MEN Hao YANG Qing-kun LIU Zhen-yu

东华大学学报(英文版)2005,Vol.22Issue(1):116-119,4.
东华大学学报(英文版)2005,Vol.22Issue(1):116-119,4.

Inverse Eigenvalue Problems for a Structure with Linear Parameters

Inverse Eigenvalue Problems for a Structure with Linear Parameters

WU Liang-sheng 1YANG Jia-hua 1WEI Yuan-qian 1MEN Hao 1YANG Qing-kun 1LIU Zhen-yu1

作者信息

  • 1. College of Mechanical Engineering & Applied Electronics Technology,Beijing Polytechnic University , Beijing 100022
  • 折叠

摘要

Abstract

The inverse design method of a dynamic system with linear parameters has been studied. For some specified eigenvalues and eigenvectors, the design parameter vector which is often composed of whole or part of coefficients of spring and mass of the system can be obtained and the rigidity and mass matrices of an initially designed structure can be reconstructed through solving linear algebra equations. By using implicit function theorem, the conditions of existence and uniqueness of the solution are also deduced. The theory and method can be used for inverse vibration design of complex structure system.

关键词

inverse eigenvalue problems/redesign/structure

Key words

inverse eigenvalue problems/redesign/structure

引用本文复制引用

WU Liang-sheng,YANG Jia-hua,WEI Yuan-qian,MEN Hao,YANG Qing-kun,LIU Zhen-yu..Inverse Eigenvalue Problems for a Structure with Linear Parameters[J].东华大学学报(英文版),2005,22(1):116-119,4.

基金项目

Sponsored by Science Developing Plan of Beijing Educational Committee, Beijing Natural Science Fund (No.3022003), and National Natural Science Fund of China (No.50375002). (No.3022003)

东华大学学报(英文版)

1672-5220

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