轴向移动系统的参数振动问题研究进展  

Parametric Vibrations of Axially Moving Materials——a Review

作　　者：王建军[1] 邹西凤[1] 李其汉[1] 

机构地区：[1]北京航空航天大学,北京100083

出　　处：《应用力学学报》2003年第4期33-36,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目 ( 10 172 0 14 )

摘　　要：对近二十年来轴向移动系统 (移动弦 ,移动梁和移动带等 )的参数振动研究进展进行了详细的评述 ,特别关注了轴向张紧力和移动速度随时间改变时轴向移动系统的参数振动特性和稳定性等问题。文章首先讨论了所研究问题的控制方程。然后详细说明了目前研究中人们较为关注的几个重点问题 ,如参数激励的形式 ,求解方法和所研究的问题等。接着在其后的两节中 ,分别评述了在张紧力和移动速度随时间变化时 ,轴向移动弦和轴向移动梁的振动问题近年来的研究进展 ,详细、深入讨论了模型的类型、张紧力和轴向移动速度随时间变化的形式以及在研究中使用的解题方法和系统的振动特性 (振动响应、固有频率和动态稳定性 )等 ;This paper provides a comprehensive review of the state of art for parametric vibration of axially moving materials in the past two decades, with particular regard to the subjects of the parametric vibration behavior and stability of axially moving media with time-varying tension and axially translating velocity. The paper discusses firstly the governing equations. Then some of important problems such as solution methods and problems studied are explained. In the following two sections, we review respectively in detail the recent research progresses for the vibrations of axially moving stirng and beam systems with time-varying translating velocity and tension, in which the type of models, the forms of time-varying translating velocity and tension, the solution methods employed in the investigations and the vibration behaviors (vibration response, natural frequencies, dynamic stability etc.) of these systems are discussed in detail and deeply. At last the paper concludes with a discussion of several issues for future research in this field.

关 键 词：轴向移动系统 参数振动 工程振动学 轴向移动弦 移动梁 摄动法 边界层解法 参数激励 

分 类 号：O322[理学—一般力学与力学基础] TB123[理学—力学]