A dynamic model of ball bearing for simulating localized defects on outer race using cubic hermite spline
A dynamic model of ball bearing for simulating localized defects on outer race using cubic hermite spline
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DOI：
10.1007/s12206-014-0804-0
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发表时间：
2014-09
影响因子：
1.6
通讯作者：
P. Kulkarni;A. Sahasrabudhe
中科院分区：
文献类型：
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作者：
P. Kulkarni;A. Sahasrabudhe
本文建立了球轴承在外圈局部缺陷影响下振动行为的动力学模型。接触力的计算基于赫兹接触变形理论。利用三次Hermite样条的混合函数，模拟了球撞击外圈缺陷时产生的脉冲。利用该模型预测了缺陷角位置的变化、外环缺陷的大小、外环上的多个缺陷以及载荷变化对振动幅值的影响。在MatLab中编制了计算程序，用欧拉法求解了控制运动方程。数值结果是外圈几何形状变化的函数，这是由于缺陷处的冲击和法线圈接触W.r.t。时间和轴承健康的结论是由光谱分析确定的。为了验证结果，还进行了实验。
In this paper a dynamic model is presented for predicting the vibration behavior of a ball bearing under the influence of localized defects on the outer race. The calculation of contact force is based on Hertzian contact deformation theory. The pulse generated by the ball striking the defect on outer race is modeled by using the blending functions of the cubic hermite spline. The effect of change in the angular position of the defect, size of the defect on outer race, multiple defects on outer race and the variation of load on the vibration amplitude is predicted by this model. A computer program in MATLAB is developed and the governing equation of motion is solved by Euler’s method. The numerical results are presented as a function of variation of the geometry of the outer race due to the impact at the defect and normal race contact w.r.t. time and the conclusion about the health of the bearing is determined by the spectral analysis. To validate the results, experimentation has also been performed.