粘弹性运动带动力响应分析

基于Kelvin粘弹性材料本构模型及带运动方程,建立了运动带非线性动力学分析模型.基于该模型和Lie群分析方法推导了匀速运动及简谐运动带线性问题的解析解;基于该非线性模型的数值仿真讨论了运动带材料参数、带稳态运动速度、扰动速度对系统动态响应的影响.结果表明:1)当带匀速运动时,无论系统是线性还是非线性,运动带横向振动"频率"都随着带运动稳态速度增加而减小.2)随着材料粘性增加,系统耗散能力逐渐增强,动态响应逐渐减小.3)当带运动速度简谐波动时,系统动态响应随扰动速度增大而增大.扰动频率对带横向振动影响较大.

Dynamic Responses of Viscoelatic Axially Moving Belt

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.