Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System

SUI Yong-feng; ZHONG Wan-xie

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SUI Yong-feng, ZHONG Wan-xie. Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System[J]. Applied Mathematics and Mechanics, 2006, 27(1): 13-20.

Citation:

SUI Yong-feng, ZHONG Wan-xie. Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System[J]. Applied Mathematics and Mechanics, 2006, 27(1): 13-20.

Citation:

SUI Yong-feng, ZHONG Wan-xie. Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System[J]. Applied Mathematics and Mechanics, 2006, 27(1): 13-20.

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Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System

State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116023, P. R. China

Received Date: 2004-08-14
Rev Recd Date: 2005-09-10
Publish Date: 2006-01-15

Abstract

Abstract

Gyroscopic dynamic system can be introduced to Hamiltonian system.Based on an adjoint symplectic subspace iteration method of Hamiltonian gyroscopic system,an adjoint symplectic subspace iteration method of indefinite Hamiltonian function gyroscopic system is proposed to solve the eigenvalue problem of indefinite Hamiltonian function gyroscopic system.The character that the eigenvalues of Hamiltonian gyroscopic system are only pure imaginary or zero is used.The eigenvalues that Hamiltonian fuction is negative can be separated so that the eigenvalue problem of positive definite Hamiltonian function system is presented,and an adjoint symplectic subspace iteration method of positive definite Hamiltonian function system is used to solve the separated eigenvalue problem. Therefore,the eigenvalue problem of indefinite Hamiltonian function gyroscopic system is solved,two numerical examples are given to demonstrate that the eigensolutions converge exactly.
- Gyroscopic system,
- Hamiltonian function,
- symplectic,
- eigenvalue

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References(11)

References

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