非保守力作用下杆的塑性动态稳定性

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Plastic Dynamic Stability of a Column under Nonconservative Forces

Department of Mechanics, Huazhong University of Science andTechnology, Wuhan 430074, P. R. China

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.
- 非保守力 /
- 杆 /
- 塑性 /
- 稳定性
Abstract: In this paper Liapunov’s second method is used to analyze the plastic dynamicstability of a column under nonconservative forces. The column is in a viscous medium, andunder the action of uniformly distributed tangential follower forces. The strain-rate effecton the stress-strain relation of materials is included in the analysis. A condition of stabilityis derived. and the critical buckling food is obtained. The strain-rate effect on the stabilityof the column is discussed.
- Nonconservative forces /
- column /
- plastic stability /

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