Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed

YANG Xiao-dong; CHEN Li-qun

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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, 2005, 26(8): 905-910.

Citation:

YANG Xiao-dong, CHEN Li-qun. Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed[J]. Applied Mathematics and Mechanics, 2005, 26(8): 905-910.

Citation:

YANG Xiao-dong, CHEN Li-qun. Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed[J]. Applied Mathematics and Mechanics, 2005, 26(8): 905-910.

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Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed

YANG Xiao-dong¹,
CHEN Li-qun^2,3

1.
Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering, Shenyang 110034, P. R. China;

Received Date: 2003-10-09
Rev Recd Date: 2005-04-22
Publish Date: 2005-08-15

Abstract

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's 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.
- subharmonic resonance,
- averaging method,
- stability of vibration,
- axially moving beam

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References(9)

References

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