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
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/structureKey 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)