## 留言板

 引用本文: 李映辉, 高庆, 蹇开林, 殷学纲. 粘弹性运动带动力响应分析[J]. 应用数学和力学, 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.

## 粘弹性运动带动力响应分析

###### 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

## Dynamic Responses of Viscoelatic Axially Moving Belt

• 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.
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##### 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

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