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首页> 外文期刊>European Journal of Mechanics. A, Solids >Dynamic stability of an axially accelerating viscoelastic beam
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Dynamic stability of an axially accelerating viscoelastic beam

机译：轴向加速粘弹性梁的动力稳定性

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This work investigates dynamic stability in transverse parametric vibration of an axially accelerating viscoelastic tensioned beam. The material of the beam is described by the Kelvin model. The axial speed is characterized as a simple harmonic variation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a infinite set of ordinary-differential equations under the fixed-fixed boundary conditions. The method of averaging is employ to analyze the dynamic stability of the 2-term truncated system. The stability conditions are presented and confirmed by numerical simulations in the case of subharmonic and combination resonance. Numerical examples demonstrate the effects of the dynamic viscosity, the mean axial speed and the tension on the stability conditions.
机译：这项工作研究了轴向加速粘弹性张紧梁的横向参数振动的动态稳定性。光束的材料由开尔文模型描述。轴向速度的特征是围绕恒定平均速度的简单谐波变化。应用Galerkin方法将控制方程离散化为在固定-固定边界条件下的无穷微分方程组。采用求平均的方法来分析2项截断系统的动态稳定性。在次谐波和组合共振的情况下，通过数值模拟给出并证明了稳定性条件。数值算例表明了动态粘度，平均轴向速度和张力对稳定性条件的影响。

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