HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (5): 580-586.

HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

李书, 王波, 胡继忠

Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics, Beijing 100083, P.R.China

收稿日期:2002-05-17 修回日期:2003-11-17 出版日期:2004-05-18 发布日期:2004-05-18
通讯作者: YE Qing-kai
基金资助:
Aeronautic Basal Science Foundation(02B51060);Aeronautic Support Science and Technology Foundation(01A51007);Fanzhou Science and Research Foundation

HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

LI Shu, WANG Bo, HU Ji-zhong

Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics, Beijing 100083, P.R.China

Received:2002-05-17 Revised:2003-11-17 Online:2004-05-18 Published:2004-05-18
Supported by:
Aeronautic Basal Science Foundation(02B51060);Aeronautic Support Science and Technology Foundation(01A51007);Fanzhou Science and Research Foundation

摘要/Abstract

摘要： The structural dynamics problems,such as structural design,parameter identification and model correction,are considered as a kind of the inverse generalized eigenvalue problems mathematically.The inverse eigenvalue problems are nonlinear.In general,they could be transformed into nonlinear equations to solve.The structural dynamics inverse problems were treated as quasi multiplicative inverse eigenalue problems which were solved by homotopy method for nonlinear equations.This method had no requirements for initial value essentially because of the homotopy path to solution.Numerical examples were presented to illustrate the homotopy method.

Abstract: The structural dynamics problems,such as structural design,parameter identification and model correction,are considered as a kind of the inverse generalized eigenvalue problems mathematically.The inverse eigenvalue problems are nonlinear.In general,they could be transformed into nonlinear equations to solve.The structural dynamics inverse problems were treated as quasi multiplicative inverse eigenalue problems which were solved by homotopy method for nonlinear equations.This method had no requirements for initial value essentially because of the homotopy path to solution.Numerical examples were presented to illustrate the homotopy method.

中图分类号:

O327
O241.6

李书;王波;胡继忠. HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(5): 580-586.

LI Shu;WANG Bo;HU Ji-zhong . HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(5): 580-586.

参考文献

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HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

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