角接触球轴承非线性动态特性分析  

Analysis on Nonlinear Dynamic Characteristics of Angular Contact Ball Bearings

作　　者：姚建涛[1] 于清焕 孙晓宇[1] 李双凤 王振 

机构地区：[1]燕山大学河北省并联机器人与机电系统实验室,河北秦皇岛066004 [2]东北大学机械可靠性与动力学研究中心,沈阳110819 [3]瓦房店轴承集团精密转盘轴承有限责任公司,辽宁大连116300

出　　处：《轴承》2018年第1期29-33,共5页Bearing

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.

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 

分 类 号：TH133.33[机械工程—机械制造及自动化] TH113.1