Dynamical stability of the cantilever beam with oscillating length

被引：0
|
作者：
Yin-lei Huo
Zhong-min Wang
机构：
[1] Xi’ an University of Technology,School of Mechanical and Precision Instrument Engineering
[2] Henan University of Science and Technology,Department of Packaging Engineering
[3] Xi’ an University of Technology,School of Civil Engineering and Architecture
来源：
Archive of Applied Mechanics | 2017年 / 87卷
关键词：
Cantilever beam with oscillating length; Multiple scales method; Parametric resonance; Transverse vibration;
D O I：
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中图分类号：
学科分类号：
摘要：
The dynamical stability and transverse vibration of the cantilever beam with oscillating length are analyzed in this study. The differential equation of motion with time-dependent coefficients is discretized by the Galerkin method, and then the method of multiple scales for multi-degree of freedom is applied to investigate the parametric resonances of the cantilever beam with oscillating length. The effects of the oscillation amplitude and frequency on the parametric resonance regions and the tip responses are discussed. Tip responses simulation by Runge–Kutta method confirms the parametric resonance regions obtained by multiple scales method. In addition, the ‘jump’ phenomenon on the tip response of the axially oscillating deploying cantilever beam is also discussed.
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页码：1281 / 1293
页数：12
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