支座扰动作用下的分数阶车-桥系统隔振特性分析

Vibrate-isolation Analysis of Fractional Order Vehicle-bridge System Under Disturbed Bridge Bearing

  • 摘要: 将实际工程中车辆在桥面运动的隔振作用简化为单自由度车-桥系统隔振体系,建立了分数导数阶车-桥隔振模型的运动平衡方程.不考虑桥梁蠕变所产生激励响应,利用三角函数计算车-桥模型在分数导数下的运动平衡方程.在此基础上得到了车辆的运动放大系数和传导比,分析了各参数的影响.讨论了实际应用中无阻尼条件下、任意隔振效率下的隔振静位移.

     

    Abstract: The vibrate-isolation analysis in practical engineering was simplified with the single degree of freedom vehicle bridge system vibration isolation system. The dynamic equilibrium equation of the fractional derivative order car-bridge model of vibration isolation was presented. Without considering the excitation response produced by micro-variation of bridge, trigonometric function was used to calculate the model. The vehicle motion amplification coefficient and transmission ratio were obtained and the effect of parameters were analyzed. And the vibration isolation static displacement was discussed under the condition of no damping and arbitrary isolation efficiency in practical engineering.

     

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