| DYNAMIC STABILITY OF AXIALLY MOVING VISCOELASTIC BEAMS WITH PULSATING SPEED |
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| 作者姓名： | YANG Xiao-dong |
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| 作者单位： | Department of Engineering Mechanics，Shenyang Institute of Aeronautical Engineering，Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University Shenyang 110034，P.R.China，Shanghai 200072，P.R.China，Department of Mechanics，Shanghai University，Shanghai 200444，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10472060） and the Natural Science Foundation of Shanghai （No. 04ZR14058） |
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| 摘 要： | IntroductionThe class of systems with axially moving materials involves power transmission chains,band saw blades and paper sheets during processing. Vibration of such systems is generallyundesirable. The traveling tensioned Euler-Bernoulli beam is the pr…
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| 关 键 词： | 谐波响应 稳定性分析 轴向移动 黏弹性波束 |
| 文章编号： | 0253-4827（2005）08-0989-07 |
| 收稿时间： | 2003-10-09 |
| 修稿时间： | 2005-04-22 |
Dynamic stability of axially moving viscoelastic beams with pulsating speed |
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| Yang Xiao-dong,Chen Li-qun.DYNAMIC STABILITY OF AXIALLY MOVING VISCOELASTIC BEAMS WITH PULSATING SPEED[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):989-995. |
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| Authors: | Yang Xiao-dong Chen Li-qun |
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| Institution: | 1. Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering, Shenyang 110034, P. R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | 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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| Keywords: | subharmonic resonance averaging method stability of vibration axially moving beam |
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