Dynamic Responses of Viscoelatic Axially Moving Belt

LI Ying-hui; GAO Qing; JIAN Kai-lin; YIN Xue-gang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(11): 1191-1196

LI Ying-hui, GAO Qing, JIAN Kai-lin, YIN Xue-gang. Dynamic Responses of Viscoelatic Axially Moving Belt[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1191-1196.

Citation:

LI Ying-hui, GAO Qing, JIAN Kai-lin, YIN Xue-gang. Dynamic Responses of Viscoelatic Axially Moving Belt[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1191-1196.

Citation:

LI Ying-hui, GAO Qing, JIAN Kai-lin, YIN Xue-gang. Dynamic Responses of Viscoelatic Axially Moving Belt[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1191-1196.

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Dynamic Responses of Viscoelatic Axially Moving Belt

1.
Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P.R, China;
2.
Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China

Received Date: 2002-02-08
Rev Recd Date: 2003-05-05
Publish Date: 2003-11-15

Abstract

Abstract

Based on the Kelvin viscoelastic differential constitutive law and the motion equation of the axially moving belt, the nonlinear dynamic model of the viscoelastic axial moving belt was established. And then it was reduced to be a linear differential system which the analytical solutions with a constant transport velocity and with a harmonically varying transport velocity were obtained by applying Lie group transformations. According to the nonlinear dynamic model, the effects of material parameters and the steady-state velocity and the perturbed axial velocity of the belt on the dynaic responses of the belts were investigated by the research of digital simulation. The result shows:1) The nonlinear vibration frequency of the belt will become small when the velocity of the belt increases. 2) Increasing the value of viscosity or decreasing the value of elasticity leads to a deceasing in vibration frequencies. 3) The most effects of the transverse amplitudes come from the frequency of the perturbed velocity when the belt moves with harmonic velocity.
- moving belt,
- viscoelasticity,
- Lie group,
- dynamic response

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References(9)

References

[1]	Huang J S,Fung R F.Dynamic stability of a moving string undergoing three-dimension vibration[J].International Journal of Mechanics Science,1995,37(1):145-159.
[2]	Perkins N C,Mote C D.Three-dimensional vibration of traveling elastic cables[J].Journal of Sound and Vibration,1987,114(2):325-340.
[3]	Fung R F,Huang J S,Chen Y C,et al.Nonlinear dynamic analysis of the viscoelastic string with a harmonically varying transport speed[J].Computer & Structure,1996,61(1):125-141.
[4]	Fung R F,Huang J S,Chen Y C.The transient amplitude of the viscoelastic travelling string:an integral constitutive law[J].Journal Sound and Vibration,1997,201(2):153-167.
[5]	Zhang L,Zu J W.Nonlinear vibration of paramerically excited moving belts[J].Journal of Applied Mechanics,1999,66(2):396-409.
[6]	LI Ying-hui,GAO Qing,YIN Xue-guang.Nonlinear vibration analysis of viscoelastic cable with small sag[J].Acta Mechanica Solida Sinica,2001,14(4):317-323.
[7]	CHEN Li-qun,ZHANG Neng-hni,Zu J W.Bifurcation and chaos of an axially moving viscoelastic string[J].Mechanics Research Communications,2002,29(2/3):81-90.
[8]	Ozkaya E,Pakdemirli M.Group theoretic approach to axially accelerating beam problem[J].Acta Mechanica,2002,155(1):111,123.
[9]	Ozkaya E,Pakdemirli M.Lie group theory and analytical solutions for the axially accelerating stRing problem[J].Journal of Sound & Vibration,2000,230(4):729-742.