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矩形薄板在随从力作用下的动力稳定性分析
引用本文:王忠民 计伊周. 矩形薄板在随从力作用下的动力稳定性分析[J]. 振动工程学报, 1992, 5(1): 78-83
作者姓名:王忠民 计伊周
作者单位:陕西机械学院基础部,陕西机械学院基础部 西安,710048,西安,710048
摘    要:本文用Levy法和有限差分法相结合,研究了两对边简支、另两对边为三种典型支承任意组合的六种弹性矩形薄板在切向均布随从力作用下的动力稳定性问题.通过数值计算,给出各种支承板的失稳形式及相应的临界载荷,并分析了泊松比、板的边长比对板的失稳形式及临界载荷的影响.

关 键 词:切向随从力 发散载荷 颤振 频率

The Dynamic Stability of Rectangular Plates under the Action of Tangential Follower Force
Wang Zhongmin,Ji Yizhou. The Dynamic Stability of Rectangular Plates under the Action of Tangential Follower Force[J]. Journal of Vibration Engineering, 1992, 5(1): 78-83
Authors:Wang Zhongmin  Ji Yizhou
Affiliation:Wang Zhongmin,Ji Yizhou Department of Basic Course,Shaanxi Institute of Mechanical Engineering,Xi'an,710048
Abstract:The daynmic stability of six typical rectangular plates with two opposite edges simply supported under the action of uniformly distributed tangential follower force is investigated by using Levy's method and the finite difference method. Type of instability of the plates by flutter or divergence, critical load and flutter frequency are obtained. Studied are the effects of the Poisson's ratio and aspect ratio on the dynamic stability of the plates.
Keywords:tangential follower force  divegence load  flutter frequency
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