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Nonlinear Dynamic Behaviors and Bifurcation of Symmetrical Rotor System Supported by Self-acting Gas Jounal Bearings

机译:自动气体轴颈轴承支撑对称转子系统的非线性动力学行为及分岔

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The unbalanced response and corresponding bifurcation behavior of the rotor dynamic system supported by gas journal bearings are investigated. A time-dependent mathematical model is used to describe the pressure distribution of gas journal bearing with nonlinearity. The rigid Jeffcott rotor with self-acting gas journal bearing supports is modeled. The finite difference method and the Successive Over Relaxation (S.O.R.) method are employed to solve the time-dependent Reynolds equation of gas journal bearings. The bifurcation of unbalanced responses of the rotor is analyzed by a Poincare map. The numerical results reveal periodic, period-doubling, quasi-periodic, and chaotic motion of rich and complex non-linear behaviors of the system.
机译:研究了气体轴颈轴承支持的转子动力系统的不平衡响应和相应的分岔行为。时间依赖性数学模型用于描述气体轴颈轴承具有非线性的压力分布。采用具有自动气体轴承支撑件的刚性JEFFCOTT转子进行建模。有限差分法和连续的放松(S.O.R.)方法用于解决气体轴颈轴承的时间依赖雷诺方程。通过庞的地图分析转子的不平衡响应的分叉。数值结果显示了系统的丰富和复杂的非线性行为的周期性,周期性,准周期性和混沌运动。

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