摘要
为分析角接触球轴承的非线性动力学特性,建立考虑球数、轴向预紧和动载荷的非线性动力学模型,求解球与内、外圈接触点处的相对位移。给出轴承系统非线性动力学微分方程组,对微分方程组进行坐标变换,进行量纲一化处理,利用数值分析软件求解量纲一化的非线性微分方程组。通过改变轴向预紧量可获得轴承的相图和Poincane图,分析轴向预紧量对轴承非线性动态特性的影响。结果表明:随轴向预紧量减小,轴承由单周期运动经倍周期分叉进入多周期运动,然后经准周期运动进入混沌运动;在满足机构运行稳定性的条件下,降低轴向预紧量能够提高轴承的使用寿命;随接触角增加,轴承由单周期运动经倍周期分叉进入多周期运动,然后经过不稳定吸引子最终进入混沌运动状态。
In order to analyze nonlinear dynamic characteristics of precision bearings,the nonlinear dynamic model is established considering number of balls,axial preload and dynamic load. The relative displacement is solved between inner,outer ring and ball at contact point. The nonlinear dynamic differential equations of bearing system are built; the coordinate transformation and dimensionless treatment are carried out. The dimensionless nonlinear differential equations are solved by numerical analysis software. The phase diagram and Poincare diagram of bearing are obtained through changing axial preload. The influence of axial preload on nonlinear dynamic characteristics of bearing is analyzed. The results show that the bearing enters into periodic motion from single periodic motion through period doubling bifurcation with the reduction of axial preload,and then enters into chaotic motion through quasi-periodic motion. The service life of bearings is improved through reducing axial preload under the condition of operation stability of mechanism,and the bearing enters into multiple periodic motion from single periodic motion through period doubling bifurcation with the increase of contact angle. Finally,the bearing enters chaotic motion state through unstable attractor.
出处
《轴承》
北大核心
2018年第1期29-33,共5页
Bearing
关键词
角接触球轴承
预紧力
非线性振动
混沌
分叉
周期运动
angular contact ball bearing
preload
nonlinear vibration
chaos
bifurcation
periodic motion
