考虑外圈局部缺陷的滚动轴承非线性动力特性

 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、Poincaré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。

Nonlinear Dynamic Characteristics of Rolling Element Bearing with Localized Defect on Outer Ring

Governing differential equations of motion of a rolling element bearing with a localized defect on its outer ring are established with consideration of the sources of nonlinearity such as Hertzian elastic contact force and internal radial clearance, and they are solved by the Runge-Kutta-Felhberg algorithm. The nonlinear dynamic behavior of the bearing is analyzed by means of bifurcation diagrams, Poincaré maps, frequency spectrum diagrams as well as such time domain parameters as mean square value, crest factor， and kurtosis. Simulation results show that various kinds of periodic, quasi periodic, and chaotic responses exist in the system. The main route to chaos is doubling bifurcation. The crest factor ratio can be used in the medium and low speed regions to detect a localized defect on the outer ring. The kurtosis ratio can be used for defect detection at relatively low rotation speeds, and the mean square value ratio can be used in a broad rotation speed range except for few speeds that depend on the bearing structure.