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首页> 外文期刊>Proceedings of the institution of mechanical engineers >An analytical model (7 DOF) for the prediction of the vibration response of cylindrical roller element bearings due to a combined localized defect
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An analytical model (7 DOF) for the prediction of the vibration response of cylindrical roller element bearings due to a combined localized defect

机译：预测组合式局部缺陷引起的圆柱滚子轴承振动响应的解析模型（7 DOF）

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摘要

This paper presents a mathematical model to investigate a nonlinear vibration behavior of a rotor-bearing system due to combined localized defect of inner race and outer race. Here shaft-rotor bearing system is modeled as a seven degree of freedom. In the mathematical formulation, contacts between rolling elements and inner and outer races are considered as nonlinear springs as well as hysteretic damping is also taken into consideration. The governing equations of motion are formulated using energy approach. Contact force calculation having nonlinearity are solved by using Newton-Raphson method for n-unknown nonlinear simultaneous equations. Equations of motions are solved by implicit type numerical integration method by Newmark integration algorithm. A computer code is developed to simulate the results in the form of time domain and frequency domain. Results are obtained in the form of time domain and frequency domain. The analytical results are also compared with the experimental results.
机译：本文提出了一个数学模型来研究由于内圈和外圈的局部局限缺陷导致的转子轴承系统的非线性振动行为。在此，轴-转子轴承系统建模为七个自由度。在数学公式中，滚动元件与内，外座圈之间的接触被视为非线性弹簧，同时还考虑了滞后阻尼。运动的控制方程是使用能量方法制定的。对于n个未知的非线性联立方程，使用Newton-Raphson方法求解具有非线性的接触力计算。通过Newmark积分算法采用隐式数值积分方法求解运动方程。开发了计算机代码以时域和频域的形式模拟结果。以时域和频域的形式获得结果。分析结果也与实验结果进行了比较。

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