粘弹性运动带动力响应分析

李映辉; 高庆; 蹇开林; 殷学纲

粘弹性运动带动力响应分析

1.
西南交通大学, 应用力学与工程系, 成都, 610031;
2.
重庆大学, 工程力学系, 重庆, 400044

基金项目: 国家自然科学基金资助项目(59636140)

详细信息

作者简介:
李映辉(1964- ),男,四川南江人,副教授,博士(E-mail:liyinghui@sina.com).

中图分类号: TU501;TU5111.32
计量
- 文章访问数: 2365
- HTML全文浏览量: 117
- PDF下载量: 697
- 被引次数: 0
出版历程
- 收稿日期: 2002-02-08
- 修回日期: 2003-05-05
- 刊出日期: 2003-11-15

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

摘要

摘要: 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.
- 运动带 /
- 粘弹性 /
- Lie群 /
- 动力响应
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

HTML全文

参考文献(9)

[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.