| 非保守力作用下杆的塑性动态稳定性 |
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| 引用本文： | 揭敏. 非保守力作用下杆的塑性动态稳定性[J]. 应用数学和力学, 1997, 18(4): 373-379 |
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| 作者姓名： | 揭敏 |
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| 作者单位： | 华中理工大学, 武汉 430074 |
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| 摘 要： | 本文用Liapunov第二方法分析非保守力作用下直杆的塑性动态稳定性.杆处于粘性阻尼介质中,并受到切向均布的随动载荷作用.分析中在应力-应变关系中引入了应变率效应.导出了一个稳定性条件,并求出了临界失稳载荷,讨论了应变率效应对杆的稳定性的影响.
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| 关 键 词： | 非保守力 杆 塑性 稳定性 |
| 收稿时间： | 1995-02-22 |
Plastic Dynamic Stability of a Column under Nonconservative Forces |
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| Jie Min. Plastic Dynamic Stability of a Column under Nonconservative Forces[J]. Applied Mathematics and Mechanics, 1997, 18(4): 373-379 |
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| Authors: | Jie Min |
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| Affiliation: | Department of Mechanics, Huazhong University of Science andTechnology, Wuhan 430074, P. R. China |
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| Abstract: | In this paper Liapunov's 2nd method is used to analyze the plastic dynamic stability of a column under nonconservative forces. The column is in a: viscous medium, and under the action of uniformly distributed tangential follower forces.The strain-rate effect on the stress-strain relation of materials is included illthe analysis. A condition of stability is derived, and the eritical buckling loadis obtained. The strain-rate effect on the stability of the column is discussed. |
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| Keywords: | nonconservative forces column plastic stability |
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