Nonlinear dynamic modeling of surface defects in rolling element bearing systems
Nonlinear dynamic modeling of surface defects in rolling element bearing systems
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DOI：
10.1016/j.jsv.2008.06.043
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发表时间：
2009-01-23
影响因子：
4.7
通讯作者：
Moeenfard, Hamid
中科院分区：
文献类型：
--
作者：
Rafsanjani, Ahmad;Abbasion, Saeed;Moeenfard, Hamid
本文提出了一个分析模型，用以研究含表面缺陷的滚动轴承系统的非线性动力学行为。各种表面缺陷，由于在滚道和滚动体的局部缺陷被引入到所提出的模型。各滚动体的接触力按非线性赫兹接触变形描述，并考虑了径向间隙的影响。推导了内、外圈和滚动体局部缺陷的数学表达式。为了克服运动方程的强非线性，采用修正的Newmark时间积分技术对运动方程进行数值求解。结果以时间序列、频率响应和相轨迹的形式得到。通过将系统响应的频率分量与实验结果进行比较，验证了该模型的有效性。经典Floquet理论已被应用到所提出的模型，研究的线性稳定性的缺陷轴承转子系统的参数变化。得到了每种情况下系统的峰-峰频率响应，并确定了不同内部径向间隙的周期、准周期和混沌运动的基本路径。目前的研究提供了一个强大的工具，设计和健康监测的机器系统。(C)2008爱思唯尔有限公司保留所有权利。
hi this paper an analytical model is proposed to Study the nonlinear dynamic behavior of rolling element bearing systems including surface defects. Various surface defects due to local imperfections on raceways and rolling elements are introduced to the proposed model. The contact force of each rolling element described according to nonlinear Hertzian contact deformation and the effect of internal radial clearance has been taken into account. Mathematical expressions were derived for inner race, outer race and rolling element local defects. To overcome the strong nonlinearity of the governing equations of motion, a modified Newmark time integration technique was used to solve the equations of motion numerically. The results were obtained in the form of time series, frequency responses and phase trajectories. The validity of the proposed model verified by comparison of frequency components of the system response with those obtained from experiments. The classical Floquet theory has been applied to the proposed model to investigate the linear stability of the defective bearing rotor systems as the parameters of the system changes. The peak-to-peak frequency response of the system for each case is obtained and the basic routes to periodic, quasi-periodic and chaotic motions for different internal radial clearances are determined. The current study provides a powerful tool for design and health monitoring of machine systems. (C) 2008 Elsevier Ltd. All rights reserved.