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建立了考虑滚动轴承外圈局部缺陷、非线性轴承力和径向游隙等非线性因素的滚动轴承系统动力学微分方程,并用Runge-Kutta-Felhberg算法对其求解。利用分岔图、Poincar啨映射图、频谱图以及均方值、峰值因子、峭度等时域参数,分析了滚动轴承的响应、分岔和混沌等非线性动力特性。结果表明:考虑外圈局部缺陷的滚动轴承系统存在多种周期、拟周期和混沌响应;滚动轴承系统进入混沌的主要途径是倍周期分叉;峰值因子比率在中、低速,峭度比率在低速时可以很好地识别外圈局部缺陷。均方值比率除了在与轴承动力特性有关的个别转速外,可以在较大的转速范围识别外圈局部缺陷。
The dynamic differential equation of the rolling bearing system considering nonlinear factors such as the local defects of the outer race of the rolling bearing, the nonlinear bearing force and the radial clearance is established and solved by the Runge-Kutta-Felhberg algorithm. The nonlinear dynamical characteristics of the rolling bearing such as response, bifurcation and chaos are analyzed by using bifurcation diagrams, Poincar 啨 maps, frequency spectra, time-domain parameters such as mean square, peak factor and kurtosis. The results show that there are many kinds of periodic, quasi-periodic and chaotic responses in the rolling bearing system considering the local defects in the outer ring. The main way for the rolling bearing system to enter the chaos is double period bifurcation. The crest factor ratio at middle and low speed, Very good identification of outer ring defects. The mean square value ratio, in addition to the individual characteristics related to the dynamic speed of the bearing, can identify large areas of outer ring local defects.