轴向运动弦线受迫振动分析  

Analyses of forced vibrations of an axially moving string

作　　者：李德双[1] 戈新生[1] 

机构地区：[1]北京信息科技大学机电工程学院,北京100192

出　　处：《北京机械工业学院学报》2008年第2期18-22,40,共6页Journal of Beijing Institute of Machinery

基　　金：北京市自然科学基金资助项目(1072008)

摘　　要：研究轴向运动弦线的受迫振动相关问题,利用Hamilton原理,建立了轴向运动弦线横向振动的耦合动力学模型。基于Gale kin方法对轴向运动弦线系统模型的状态变量作离散得到带有非线性项的常微分方程组。通过数值仿真,给出了轴向运动弦线在不同外激励形式下的振动响应,得到轴向运动弦线受迫振动的一些规律。In this paper, the problem of forced vibration of an axially moving string are studied. The equations of motion are derived using the Hamilton＇s Principle. The equation for the vibration is non-linear and coupled between the longitudinal and transverse deflections. These equations are discredited by the Gale kin method after they are transformed into a set of second-order Odes. Numerical results show that the axially moving string has different vibration responses under different incentives. Some rules of forced vibration of axially moving string are gained.

关 键 词：轴向运动弦线 外激励 振动响应 

分 类 号：O3[理学—力学]