区间参数结构振动问题的矩阵摄动法

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基金项目: 国家自然科学基金

Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters

The Centre of Computational Mechanics Jilin University of Technlologg, Changchun

摘要: 当结构的参数具有不确定性时,结构的固有频率也将具有某种程度的不确定性。本文讨论了区间参数结构的振动问题,将区间参数结构的特征值问题归结为两个不同的特征值问题来求解。提出了求解区间参数结构振动问题的矩阵摄动方法。数值运算结果表明,本文所提出方法具有运算量小,结果精度高等优点。
- 固有频率 /
- 区间参数 /
- 矩阵摄动
Abstract: When the parameters of the structures are uncertain, the structural natural frequencies become uncertain.In this paper, we deal with the vibration problem of the structure with interval parameters,the eigenvalue problem of the structures with interval parameters is transferred into two different eigenvalue problems to be solved. The perturbation method is applied to the vibration problem of the structures with interval parameters, the numerical results show that the proposed method is sufficiently accurate and needs little computational efforts.
- natural frequency /
- interval parameter /
- matrix perturbation

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