轴承表面微观特征对齿轮动力学特性的影响研究

Effects of gear dynamics by the surface microscopic characters of bearings

为了解轴承的表面形貌对齿轮动力学的影响规律,引入分形理论修正现有轴承间隙公式,建立考虑轴承表面微观特征因素的齿轮—轴承多自由度非线性动力学模型.利用RUNGE-KUTTA法获得时间历程图、相图、POINCARé映射图以及FFT频谱图,研究轴承面粗糙度参数对系统运动状态的影响程度.结果表明:轴承面的粗糙度参数对齿轮动力学响应影响明显,随着其增大,齿轮表面动力学特性变差,这与实际情况吻合.

In order to illuminate the effect mechanism of the surface topography of bearings on the dynamics of gear system, the fractal theory is introduced to modify the existing formula of bearing clearance, and a multi-degreeof- freedom nonlinear dynamic model of bearings is established. Fourth-order-RUNGE-KUTTA method is used to solve the model numerically. Time history chart, phase diagram, POINCARé map and FFT spectrum are obtained. The influence of roughness parameters and fractal dimension of bearing surface on the system motion state is investigated. The simulation results show that the roughness parameters of bearing surface have obvious impact on the dynamic response of gears, and the surface dynamic characteristics become worse with the increase of the roughness parameters of bearing surface, which is consistent with the practical facts.