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首页> 外文会议>World Tribology Congress III vol.1; 20050912-16; Washington,DC(US) >STABILITY OF AN AXIALLY ACCELERATING STRING SUBJECTED TO FRICTIONAL GUIDING-FORCES
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STABILITY OF AN AXIALLY ACCELERATING STRING SUBJECTED TO FRICTIONAL GUIDING-FORCES

机译：承受摩擦引导力的轴向加速弦的稳定性

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摘要

The dynamic response of an axially translating continuum subjected to the combined effects of a pair of spring supported frictional guides and axial acceleration is investigated; such systems are both non-conservative and gyroscopic. The continuum is modeled as a tensioned string translating between two rigid supports with a time dependent velocity profile. The equations of motion are derived with the extended Hamilton's principle and discretized in the space domain with the finite element method. The stability of the system is analyzed with the Floquet theory for cases where the transport velocity is a periodic function of time. Direct time integration using an adaptive step Runge-Kutta algorithm is used to verify the results of the Floquet theory. Results are given in the form of time history diagrams and instability point grids for different sets of parameters such as the location of the stationary load, the stiffness of the elastic support, and the values of initial tension. This work showed that presence of friction adversely affects stability, but using non-zero spring stiffness on the guiding force has a stabilizing effect.
机译：研究了在一对弹簧支撑的摩擦导轨和轴向加速度共同作用下的轴向平移连续体的动力响应；这样的系统既是非保守的又是陀螺的。连续体被建模为张紧的弦，在两个刚性支撑之间平移，具有随时间变化的速度分布。运动方程是用扩展的汉密尔顿原理导出的，并通过有限元方法在空间域中离散化。对于运输速度是时间的周期性函数的情况，使用Floquet理论分析系统的稳定性。使用自适应步长Runge-Kutta算法的直接时间积分用于验证Floquet理论的结果。结果以时程图和不稳定性点网格的形式针对不同的参数集给出，例如固定负载的位置，弹性支撑的刚度和初始张力值。这项工作表明，摩擦的存在会对稳定性产生不利影响，但是对引导力使用非零的弹簧刚度则具有稳定作用。

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