非库仑摩擦转子试验台碰摩分叉行为
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    摘要:

    采用库仑摩擦力和非库仑摩擦力模型,建立悬臂双盘碰摩转子系统的运动微分方程。利用数值仿真方法,以转速为分叉参数分析了系统运动状态。分析结果表明,采用两种摩擦力模型时,系统产生分叉转速范围和转速带宽均有明显不同,系统通向混沌的道路主要是阵发性分叉和周期分叉。数值仿真结果与碰摩试 验结果一致,且在相对速度影响系数B1=0.3和B2=0.06或B1=0.15和B2=0.06的情况下,宜采用非库仑摩擦力模型。

    Abstract:

    In order to analyze the local rubbing bifurcation and the chaotic dyna mic behavior of a rotor testbed and find out routes to the chaos, this paper s e t up a motion differential equation of dualdisc overhung rotor system, force m odels of coulomb friction and noncoulomb friction were employed respectively. B y using the numerical integration method, based on speed parameters for the bifu rcation, the system motion state was studied through the Poincare map, wave form graph, phase plan graph, chart of axes track, power spectrums, and the autoco r relation function method. The results show that the ranges and widths of the rot or speeds resulting in the bifurcation are obviously different for the two frict ion models, and the routes to chaos are mainly intermittence chaos and period bi furcations. The simulation results correspond with the experimental ones .It is concluded that the calculated results by using the nonCoulomb friction model a re more consistent with the actual situation than the Coulomb friction model.

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