| 轴向运动带的横向与纵向非线性振动 |
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| 引用本文： | 戈新生,李德双. 轴向运动带的横向与纵向非线性振动[J]. 机械强度, 2012, 34(1): 20-24 |
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| 作者姓名： | 戈新生 李德双 |
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| 作者单位： | 北京信息科技大学机电工程学院,北京,100192 |
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| 基金项目： | 北京市自然科学基金资助项目 |
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| 摘 要： | 研究轴向运动带的横向和纵向自由振动问题。利用Hamilton原理,建立轴向运动带横向和纵向自由振动的耦合动力学模型。基于Galerkin方法对轴向运动带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,给出轴向运动带的横向振动与纵向振动比较,轴向运动速度对带的横向振动和纵向振动的影响,以及初张力对带的横向振动和纵向振动的影响。
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| 关 键 词： | 轴向运动带 横向振动 纵向振动 |
NONLINEAR VIBRATION OF AXIALLY MOVING STRIP WITH THE TRANSVERSE AND LONGITUDINAL |
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| GE XinSheng , LI DeShuang. NONLINEAR VIBRATION OF AXIALLY MOVING STRIP WITH THE TRANSVERSE AND LONGITUDINAL[J]. Journal of Mechanical Strength, 2012, 34(1): 20-24 |
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| Authors: | GE XinSheng LI DeShuang |
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| Affiliation: | GE XinSheng LI DeShuang(Mechanical&Electrical Engineering School,Beijing Information Science& Technology University,Beijing 100192,China) |
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| Abstract: | The problem of an axially moving strip with coupled the transverse and longitudinal motions 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 Galerkin method after they are transformed into a set of second-order ordinary differential equations(ODEs).Numerical results show that increase the velocity of axially moving can increase the transverse and longitudinal vibration period.Next,the selection of an applied tension P on the axially moving strip with coupled the transverse and longitudinal motions are investigated. |
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| Keywords: | Axially moving strip Transverse vibration Longitudinal vibration |
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