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ON THE NON-LINEAR DYNAMICS OF A FLEXIBLE ROTOR SUPPORTED ON POROUS OIL JOURNAL BEARINGS

机译:多孔油轴颈轴承上的挠性转子的非线性动力学研究

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In the present analysis dynamic response of a flexible rotor with a rigid disk under unbalance excitation mounted on porous oil journal bearings at the two ends is investigated. The system equation of motion is obtained by finite element formulation of Timoshenko Beam and the disk. The non-linear oil-film forces are calculated from the solution of the modified Reynolds equation simultaneously with Darcy’s equation. The system equation of motion is then solved by the Wilson- θ method. The effect of various non-dimensional rotorbearing parameters on the bifurcation behaviour of the system is studied. It is shown that the system undergoes Hopf bifurcation as the speed increases. Further, slenderness ratio and material properties of the rotor have profound effect on the bifurcation characteristics of the rotor-bearing system.
机译:在目前的分析中,研究了带有刚性盘的挠性转子在不平衡激励下安装在两端的多孔油轴颈轴承上的动态响应。通过蒂莫申科梁和圆盘的有限元公式获得系统运动方程。非线性油膜力是根据修正的雷诺方程和达西方程同时求解的。然后,通过Wilson-θ方法求解系统的运动方程。研究了各种无量纲转子轴承参数对系统分叉行为的影响。结果表明,随着速度的增加,系统经历Hopf分支。此外,转子的细长比和材料特性对转子-轴承系统的分叉特性有深远的影响。

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