非保守力作用下杆的塑性动态稳定性  

Plastic Dynamic Stability of a Column under Nonconservative Forces

作　　者：揭敏[1] 

机构地区：[1]华中理工大学,武汉430074

出　　处：《应用数学和力学》1997年第4期373-379,共7页Applied Mathematics and Mechanics

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．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.

关 键 词：非保守力 杆 塑性 稳定性 应力-应变关系 

分 类 号：O344.1[理学—固体力学]