屈曲杆大挠度弹性曲线的摄动解及其不完全分岔问题的奇异摄动解法 |
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引用本文: | 周哲玮. 屈曲杆大挠度弹性曲线的摄动解及其不完全分岔问题的奇异摄动解法[J]. 应用数学和力学, 1987, 8(4): 337-345 |
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作者姓名: | 周哲玮 |
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作者单位: | 上海市应用数学和力学研究所 |
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摘 要: | 本文用摄动法求解了屈曲杆大挠度情况下的弹性曲线,并考虑支座处的缺陷对分岔(失稳)问题的影响,用奇异摄动的不完全分岔理论进行了计算,给出了分岔图解,并对其物理意义进行了讨论.
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收稿时间: | 1985-10-18 |
The Perturbation Solution of the Large Elastic Curve of Buckled Bars and the Singular Perturbation Method for Its Imperfect Bifurcation Problem |
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Affiliation: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai |
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Abstract: | This paper presents the large deflection elastic curve of buckled bars through perturbation method, and the bifurcation diagrams including the influence of the imperfection at the base by using singular perturbation method of imperfect bifurcation theory. The physical meaning of the bifurcation diagrams is discussed. |
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