Vibration and stability of an axially moving viscoelastic beam with hybrid supports
Vibration and stability of an axially moving viscoelastic beam with hybrid supports
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DOI：
10.1016/j.euromechsol.2005.11.010
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发表时间：
2006-11
影响因子：
4.1
通讯作者：
Liqun Chen;Xiaodong Yang
中科院分区：
文献类型：
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作者：
Liqun Chen;Xiaodong Yang
研究了由带有扭力弹簧的简单支撑约束的轴向移动梁的振动和稳定性。提出了一种方案，从恒速运动的弹性梁的给定边界条件导出固有频率和模态函数。针对开尔文模型构成的梁，采用多尺度方法分析了粘弹性对自由振动的影响，并通过数值模拟进行了论证。当轴向速度被表征为关于恒定平均速度的简谐变化时，给出了参数共振中轴向加速粘弹性梁的不稳定条件。数值示例显示了约束刚度、平均轴向速度和粘弹性的影响。
Vibration and stability are investigated for an axially moving beam constrained by simple supports with torsion springs. A scheme is proposed to derive natural frequencies and modal functions from given boundary conditions of an elastic beam moving at a constant speed. For a beam constituted by the Kelvin model, effects of viscoelasticity on the free vibration are analyzed via the method of multiple scales and demonstrated via numerical simulations. When the axial speed is characterized as a simple harmonic variation about the constant mean speed, the instability conditions are presented for axially accelerating viscoelastic beams in parametric resonance. Numerical examples show the effects of the constraint stiffness, the mean axial speed, and the viscoelasticity.