| 非对称系统特征值问题的矩阵摄动方法 |
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| 引用本文： | 黄文振,黄步王,董勋. 非对称系统特征值问题的矩阵摄动方法[J]. 上海交通大学学报, 1988, 0(2) |
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| 作者姓名： | 黄文振 黄步王 董勋 |
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| 作者单位： | 上海交通大学机械工程系(黄文振，黄步王)，上海交通大学机械工程系(董勋) |
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| 摘 要： | 工程中存在一类含有复杂流体边界的弹性结构系统,如转子—油膜轴承系统,它们构成非对称(非自耦)动力学系统。本文研究这类系统特征值的摄动方法问题,提出了非对称系统的迭代摄动方法,证明了迭代的收敛性,与一价摄动近似相比较,该方法在较大摄动下精度很高。
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| 关 键 词： | 矩阵 摄动 特征值问题 振动 非自耦系统 动力重分析 |
A Numerical Perturbation Method for Eigenvalue Problem Reanalysis of Non-Self-Adjoint Dynamic |
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| Huang Wenzhen Huang Buyu Dong Xun. A Numerical Perturbation Method for Eigenvalue Problem Reanalysis of Non-Self-Adjoint Dynamic[J]. Journal of Shanghai Jiaotong University, 1988, 0(2) |
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| Authors: | Huang Wenzhen Huang Buyu Dong Xun |
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| Affiliation: | Huang Wenzhen Huang Buyu Dong Xun |
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| Abstract: | The vibration problem of the elastic structural dynamic system with acomplex fluid boundary is often encountered in engineering,such as the rotor-oilbearing system.Obviously,it is a non-self-adjoint system.A numerical iterationperturbation(NIP)method is proposed in this paper for the reanalysis of theeigenproblem of the non-self-adjoint system with some changes in parameters.The convergent property of this method under certain condition is also discussed.A simple example shows that,compared with the first-order perturbation methodwhich is also briefly discussed in the paper,the numerical results obtained byapplying the NIP method are much more accurate. |
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| Keywords: | matrix perturbation eigenvalue problems vibration non-selfadjoint system dynamic reanalysis |
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