摘要
根据Newton运动定律和经典的Euler方程建立了高速角接触球轴承非线性动力学数学模型,通过轴承零件的受力分析,得出轴承内部各零件的动力学微分方程组及绕其自身质心转动的动力学微分方程,针对仅有轴向载荷的情况,采用四阶Runge-Kutta法对微分方程组进行求解,获得了角接触球轴承的动态性能。在此基础上研究了工况参数对高速角接触球轴承中钢球自转角速度、保持架位移以及内圈位移的影响规律。通过与高速角接触球轴承拟动力学对比,表明轴承动力学研究更符合工程实际需求。
The nonlinear dynamics mathematical model for high speed angular contact ball bearings is established based on Newton's law of motion and classical Euler equation. The dynamics differential equations of internal parts of bearings and the dynamics differential equations for rotation around its center of mass are obtained by force analysis of parts of bearings. For the case of only axial load acting on bearings,the dynamic performance of angular contact ball bearings is obtained by using four-order Runge-Kutta method to solve the differential equations. On the basis of this,the influence rule of operating condition parameters on rotation angular velocity of steel balls,displacement of cages and inner rings in high speed angular contact ball bearings is studied. The dynamics study on bearings is more in line with the needs of engineering practice,comparing with quasi dynamics analysis of high speed angular contact ball bearings,.
出处
《轴承》
北大核心
2016年第9期15-20,24,共7页
Bearing
基金
国家自然科学基金项目(51375148)