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建立了两端刚性支撑的 Jeffcott 转子局部碰摩的动力学模型,将打靶法的思想与四阶龙格库塔法结合,对转子系统由于局部碰摩故障导致的非线性动力学行为进行了研究,数值模拟得出转子系统碰摩的轴心轨迹、位移响应、振幅谱以及Poincaré截面图,分析了转子系统参数中频率比和刚度比对转子系统运动的影响,从中发现此类非线性振动系统具有周期、拟周期和混沌等复杂的动力学行为研究结果对转子系统的故障识别与诊断具有一定的意义。
The dynamic model of local rubbing of Jeffcott rotor with rigid support at both ends was established. Combining the idea of shooting method with fourth-order Runge-Kutta method, the nonlinear dynamic behavior of rotor system due to local rub failure was studied The axial trajectory, displacement response, amplitude spectrum and Poincaré cross section of the rotor system were numerically simulated. The influence of the frequency ratio and the stiffness ratio on the rotor system motion in the rotor system parameters was analyzed. It was found that such nonlinear vibration system The complex dynamical behaviors such as periodic, quasi-periodic and chaotic results have some significance for fault identification and diagnosis of rotor systems.