Strong nonlinear vibration analysis of axially moving strings

机译：轴向运动弦的强非线性振动分析

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The nonlinear vibration of axially moving strings is investigated. The governing equation of the string is derived from the Newton's Second Law and Kelvin constitutive relationship. Based on 1-term Galerkin's truncation, the governing equation is reduced to an ordinary differential equation. Homotopy perturbation method (HPM) is applied to obtain the approximate analytical solutions of the string with both weak and strong nonlinearity. It is shown that the HPM solutions are in good agreement with numerical results.

机译：研究了轴向运动弦的非线性振动。弦的控制方程式是从牛顿第二定律和开尔文本构关系导出的。基于1项Galerkin截断，将控制方程简化为一个常微分方程。应用同伦摄动法（HPM）获得具有弱非线性和强非线性的弦的近似解析解。结果表明，HPM解决方案与数值结果吻合良好。

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《International conference on modelling and simulation;ICMS2010》|2010年|p.254-258|共5页
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Zhonghua Qi; Tianzhi Yang;
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中图分类自动模拟理论（自动仿真理论）;自动模拟理论（自动仿真理论）;信息处理（信息加工）;
关键词
Axially moving strings; Non-linear vibration; Homotopy perturbation method;

机译：轴向运动弦;非线性振动;同态摄动法;

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1. Analytical Analysis on Nonlinear Parametric Vibration of an Axially Moving String with Fractional Viscoelastic Damping [J] . Li Ying, Tang Ye Mathematical Problems in Engineering . 2017,第PTa11期

机译：具有分数粘弹性阻尼的轴向运动弦的非线性参数振动的解析分析
2. Nonlinear vibrations of spring-supported axially moving string [J] . Kesimli A., Ozkaya E., Bagdatli S. M. Nonlinear dynamics . 2015,第3期

机译：弹簧支撑的轴向运动弦的非线性振动
3. Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions [J] . Yurdda? A., ?zkaya E., Boyaci H. Nonlinear dynamics . 2013,第3期

机译：具有非理想支撑条件的轴向移动多支撑弦的非线性振动
4. Strong nonlinear vibration analysis of axially moving strings [C] . Zhonghua Qi, Tianzhi Yang International conference on modelling and simulation . 2010

机译：轴向移动串的强度非线性振动分析
5. Dynamic analysis and active vibration control of axially moving materials by wave propagation method. [D] . Ying, Shenger. 1998

机译：通过波传播方法对轴向运动材料进行动力分析和主动振动控制。
6. Axial–transversal coupling in the free nonlinear vibrations of Timoshenko beams with arbitrary slenderness and axial boundary conditions [O] . Stefano Lenci, Giuseppe Rega -1

机译：Timoshenko梁在任意细长和轴向边界条件下的自由非线性振动中的轴向-横向耦合
7. Analytical Analysis on Nonlinear Parametric Vibration of an Axially Moving String with Fractional Viscoelastic Damping [O] . Ying Li, Ye Tang 2017

机译：分数粘弹性阻尼轴向移动串的非线性参量振动的分析分析
8. Gimbal Axial Vibration Nonlinearities [R] . Crocker, W. S., Reed, T. E. 1961

机译：万向节轴向振动非线性

Strong nonlinear vibration analysis of axially moving strings

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