| 空间杆系结构非线性动力稳定性分析的一种实用算法 |
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| 引用本文： | 李忠学 邓长根. 空间杆系结构非线性动力稳定性分析的一种实用算法[J]. 力学季刊, 1999, 20(2): 112-117 |
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| 作者姓名： | 李忠学 邓长根 |
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| 作者单位： | 同济大学建工系，同济大学建工系，同济大学建工系 上海 200092，上海 200092，上海 200092 |
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| 基金项目： | 国家自然科学基金(编号:59578002) |
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| 摘 要： | 本文对任意空间杆系结构进行非线性动力稳定性分析。
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| 关 键 词： | 动力稳定性 非线性 有限元 杆系 空间杆系 |
A PRACTICAL METHOD IN NONLINEAR DYNAMIC STABILITY ANALYSIS OF SPACE STRUCTURES |
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| Li Zhongxue Deng Changgen Shen Zuyan. A PRACTICAL METHOD IN NONLINEAR DYNAMIC STABILITY ANALYSIS OF SPACE STRUCTURES[J]. Chinese Quarterly Mechanics, 1999, 20(2): 112-117 |
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| Authors: | Li Zhongxue Deng Changgen Shen Zuyan |
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| Abstract: | In this paper, the nonlinear dynamic stability of space structures was studied. Firstly, the dynamic differential equations were established by means of nonlinear finite element method, using Laplace transform, with the differential terms in equations euminated. Numerical integral method was used to carry out the transform in the nonlinear terms. After sufficient iteration steps, the displacements in image space were given. Finally, the fitting functions of the displacements described by geometric series were obtained via the weighted least square fitting and numerical Laplace inversion transform, the dynamic stability was justified by the convergence of the fitting functions. |
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| Keywords: | dynamic stability nonlinear finite element the least square fitting numerical Laplace inversion method. |
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