| DYNAMIC RESPONSES OF VISCOELASTIC AXIALLY MOVING BELT |
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| 作者姓名： | 李映辉 高庆 蹇开林 殷学纲 |
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| 作者单位： | Department of Applied Mechanics and Engineering，Southwest Jiaotong University，Chendu 610031，P.R，China，Department of Applied Mechanics and Engineering，Southwest Jiaotong University，Chendu 610031，P.R，China，Department of Engineering Mechanics，Chongqing University，Chongqing 400044，P. R. China，Department of Engineering Mechanics，Chongqing University，Chongqing 400044，P. R. China |
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| 基金项目： | the National Natural Science Foundation of China (59636140) |
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| 摘 要： | 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 dynamic 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 relocity 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 veloc
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| 收稿时间： | 8 February 2002 |
Dynamic responses of viscoelastic axially moving belt |
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| Li Ying-hui,Gao Qing,Jian Kai-lin,Yin Xue-gang.DYNAMIC RESPONSES OF VISCOELASTIC AXIALLY MOVING BELT[J].Applied Mathematics and Mechanics(English Edition),2003,24(11):1348-1354. |
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| Authors: | Li Ying-hui Gao Qing Jian Kai-lin Yin Xue-gang |
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| Institution: | 1. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chendu 610031, P. R, China
2. Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China |
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| 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 dynamic 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 relocity 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 . |
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| Keywords: | moving belts viscoelasticity Lie group dynamic response |
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