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利用修正的短轴承理论模型对转子轴承系统进行了稳定性、分岔与混沌特性分析。结果表明:系统平衡失稳时产生滞后超临界Hopf分岔,由于滞后的存在,使得滞后区内系统拓扑结构的等价性在大扰动下可能破坏,因此,线性理论无法解释该区段内的动态行为;不平衡量较小时,系统失稳时产生拟周期分岔、倍周期分岔并可以导致混沌振动;较大不平衡量时,系统始终呈现同频周期运动,这表明较大的不平衡量反而有助于增稳作用。这些结果为控制转子的稳定运行状态提供了依据,为油膜失稳故障的监测与诊断提供了有益的启发。
The rotor bearing system was analyzed for stability, bifurcation and chaos using the modified short bearing theoretical model. The results show that the hysteresis supercritical Hopf bifurcation occurs when the system is in unstable equilibrium. Due to the existence of hysteresis, the equivalence of system topologies in the hysteresis region may be destroyed under large disturbances. Therefore, the linear theory can not explain the When the unbalanced quantity is small, quasi-periodic bifurcation and doubling period bifurcation can lead to chaos vibration when the unbalanced quantity is small. When the unbalanced quantity is large, the system always exhibits the same-frequency periodical movement, which indicates that the larger unbalance quantity instead Helps to stabilize These results provide the basis for controlling the stable operation of the rotor and provide useful inspiration for the monitoring and diagnosis of oil film instability faults.