Dynamic stability of axially moving viscoelastic beams with pulsating speed

被引：2
|
作者：
Yang Xiao-dong
Chen Li-qun
机构：
[1] Shenyang Institute of Aeronautical Engineering,Department of Engineering Mechanics
[2] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
[3] Shanghai University,Department of Mechanics
来源：
Applied Mathematics and Mechanics | 2005年 / 26卷 / 8期
关键词：
subharmonic resonance; averaging method; stability of vibration; axially moving beam; O317; A; 37C75;
D O I：
10.1007/BF02466411
中图分类号：
学科分类号：
摘要：
Parametric vibration of an axially moving, elastic, tensioned beam with pulsating speed was investigated in the vicinity of subharmonic and combination resonance. The method of averaging was used to yield a set of autonomous equations when the parametric excitation frequency is twice or the combination of the natural frequencies. Instability boundaries were presented in the plane of parametric frequency and amplitude. The analytical results were numerically verified. The effects of the viscoelastic damping, steady speed and tension on the instability boundaries were numerically demonstrated. It is found that the viscoelastic damping decreases the instability regions and the steady speed and the tension make the instability region drift along the frequency axis.
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页码：989 / 995
页数：6
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