Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling

Yunlong Li

doi:10.16578/j.issn.1004.2539.2021.06.006

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Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling

Theory·Reserach | 更新时间：2022-11-10

- Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling
- Journal of Mechanical Transmission Vol. 45, Issue 6, Pages: 38-45(2021)
- 作者机构：
  
  1.桂林航天工业学院能源与建筑环境学院，广西桂林 541004
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.06.006
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李云龙.滚动轴承-转子系统有限元离散建模非线性动力学数值分析[J].机械传动,2021,45(06):38-45.

Li Yunlong.Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling[J].Journal of Mechanical Transmission,2021,45(06):38-45.
李云龙.滚动轴承-转子系统有限元离散建模非线性动力学数值分析[J].机械传动,2021,45(06):38-45. DOI： 10.16578/j.issn.1004.2539.2021.06.006.

Li Yunlong.Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling[J].Journal of Mechanical Transmission,2021,45(06):38-45. DOI： 10.16578/j.issn.1004.2539.2021.06.006.

摘要

在滚动轴承和转子动力学的基础上，考虑滚动轴承滚动体与内外圈滚道的Hertz弹性接触力和径向游隙等非线性因素，根据Timoshenko梁-轴理论，建立滚动轴承-转子系统的有限元离散化模型，采用Newmark数值方法对其求解，利用分岔图、Poincaré映射图、频谱图、相图和轴心轨迹图，分析了滚动轴承-转子系统在转速和游隙等参数下的非线性动力响应行为。结果表明，转子系统呈现周期和非周期（拟周期或混沌）响应形式，在倍周期响应区域内有明显的跳变现象，经过混沌区后，转子系统经倍周期分岔进入混沌，后经过阵发性分岔离开混沌；故合理选择转子的工作转速和游隙，降低非线性轴承力引起的非周期振动，可提高系统运行的稳定性。分析结果为定量和定性分析该双转子的稳定性提供了参考依据。

Abstract

Based on the bearing dynamics and rotor dynamics，considering the nonlinear factors such as Hertz elastic contact force and radial clearance between rolling element and inner and outer raceway of rolling bearing. According to Timoshenko beam-axis theory，the finite element discretization model of the bearing-rotor system is established and the Newmark numerical method is used to solve the problem. Meanwhile the nonlinear dynamic behaviors of the system are illustrated by means of bifurcation diagrams，Poincaré maps，frequency spectrum diagrams，phase diagrams and orbit plots. The results shows that，the rotor system presents periodic and aperiodic (quasi periodic or chaos) responses. After passing through the chaotic region，the rotor system enters into chaos through period doubling bifurcation，and then leaves chaos through paroxysmal bifurcation. Reasonable selection of rotor speed and clearance can reduce the non periodic vibration caused by nonlinear bearing force，which can improve the stability of the system. The analytic results will provide a referenced gist for the dynamic stability of dual-rotor-rolling-bearing by the quantitative and qualitative analysis.

关键词

滚动轴承-转子系统有限元法非线性动力学分岔混沌

Keywords

Rolling bearing-rotor systemFinite element methodNonlinear dynamicsBifurcationChaos

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