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复合材料叠层圆柱壳的非线性动力稳定性分析
摘    要:本文用汉密尔顿原理导出了复合材料叠层圆柱壳的非线性动力稳定性的控制微分方程。在基本方程中包括了非线性大挠度、圆柱壳的初始几何缺陷,以及动力载荷的惯性力等因素的影响。本文的目的是分析复合材料圆柱壳的参数共振和确定壳体结构动力屈曲时的稳定性区域和不稳定性区域,作为求解的例题,本文对三种复合材料圆柱壳进行了数例计算:即 T300—5208石墨-环氧壳体,ARALL 叠层铝合金壳体,和 E-玻璃-环氧壳体,结果表明它们具有相当不同的动力稳定性能.由本文所得出的计算结果和分析结论对于考虑和设计复合材料圆柱壳的动力稳定性具有重要的实用意义.

关 键 词:复合材料  圆柱壳  动力屈曲  稳定性  参数共振

Nonlinear Analysis of Dynamic Stability for Laminated Composite Cylindrical Shells
Authors:Zhou Chengti Wang Liedong
Institution:Zhou Chengti Wang Liedong
Abstract:In this paper the Hamiltons Principle is used to get the formulation of a set of nonlinear governing equations of dynamic sta bility for laminated composite cylindrical shells under rather general conditions.In these fundamental differential equations and their solutions,the effects of nonlinear large deflections and the initial imperfections of the shell and also the in- fluence of inertia forces are comsidered.The objective of this paper is to determine the dy- namic stable regions and unsstable regions as well as the parametric resonance of the compos- ite laminated cylindrical shell dunamic dynamic buckling.Three different kinds of composite cylindrical shells are computed as numerical examplecs.They are T300—5208 graphite—e- poxy shell.Results show that they have very different behavior of dynamic stability.The nu- merical results and analytical conclusions drawn in this paper are important for the considera- tion and design of the dynamic stability of composite cylindrical shells.
Keywords:Composite materials  Cylindrical shells  Dynamic buckling  Stability parametric resonance
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