| EIGENVALUE PROBLEM OF A LARGE SCALE INDEFINITE GYROSCOPIC DYNAMIC SYSTEM |
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| 引用本文： | 隋永枫,钟万勰. EIGENVALUE PROBLEM OF A LARGE SCALE INDEFINITE GYROSCOPIC DYNAMIC SYSTEM[J]. 应用数学和力学(英文版), 2006, 27(1): 15-22. DOI: 10.1007/s 10483-006-0103-z |
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| 作者姓名： | 隋永枫 钟万勰 |
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| 作者单位： | State Key Laboratory of Structural Analysis of Industrial Equipment，State Key Laboratory of Structural Analysis of Industrial Equipment Dalian University of Technology，Dalian 116023，P.R.China，Dalian University of Technology，Dalian 116023，P.R.China |
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| 摘 要： | 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 gy- roscopic system was 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 was used.The eigenvalues that Hamiltonian function is negative can be separated so that the eigenvalue problem of positive definite Hamiltonian function system was presented,and an adjoint symplectic subspace iteration method of positive definite Hamiltonian function system was used to solve the separated eigenvalue problem.Therefore,the eigenvalue problem of indefinite Hamiltonian function gyroscopic system was solved,and two numerical examples were given to demonstrate that the eigensolutions converge exactly.
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| 关 键 词： | 特征值问题 回转动态系统 哈密尔敦函数系统 伴随矩阵 |
| 收稿时间： | 2004-08-14 |
| 修稿时间： | 2005-09-10 |
Eigenvalue problem of a large scale indefinite gyroscopic dynamic system |
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| Yong-feng Sui,Wan-xie Zhong. Eigenvalue problem of a large scale indefinite gyroscopic dynamic system[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(1): 15-22. DOI: 10.1007/s 10483-006-0103-z |
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| Authors: | Yong-feng Sui Wan-xie Zhong |
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| Affiliation: | State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China |
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| 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 gy- roscopic system was 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 was used.The eigenvalues that Hamiltonian function is negative can be separated so that the eigenvalue problem of positive definite Hamiltonian function system was presented,and an adjoint symplectic subspace iteration method of positive definite Hamiltonian function system was used to solve the separated eigenvalue problem.Therefore,the eigenvalue problem of indefinite Hamiltonian function gyroscopic system was solved,and two numerical examples were given to demonstrate that the eigensolutions converge exactly. |
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| Keywords: | gyroscopic system Hamiltonian function symplectic eigenvalue |
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