公-自转耦合的滚针轴承保持架振动特性

建立了含公-自转耦合的行星轮滚针轴承动力学微分方程组，采用gear stiff（GSTIFF）变步长积分算法对微分方程组进行求解，对比研究了有无公转工况下保持架的打滑率和振动特性，分析了公-自转耦合工况下结构参数和工况参数对两者的影响。结果表明:纯自转工况下保持架振动加速度幅频图各倍频处对应1个幅值，公-自转耦合工况下各倍频处对应2个幅值；在公-自转耦合工况下，保持架振动幅值随径向力和公转速度的增大而增大，随自转速度的增大而减小，存在一个最优间隙比，即间隙比为1左右时使保持架振动幅值最小；保持架打滑率变化趋势与纯自转时一致，但数值减小且减幅越来越大；综上，公-自转耦合工况下会增大保持架径向振动特性，减小周向振动特性。 

Vibration characteristics of needle roller bearing under planetary rotation

Dynamic differential equations of needle roller bearing was established，and solved by using gear stiff （GSTIFF） variable-step integration algorithm.The slip rate and vibration characteristics of cage between rotation and planetary rotation were compared，and the effects of vibration characteristics and slip rate of cage on the structural parameters and operating conditions under planetary rotation were further analyzed.The results showed that: one amplitude corresponded to each multiple band of the frame vibration acceleration spectrum under rotation conditions，two amplitudes corresponded to the multiple band of the frame vibration acceleration under planetary rotation conditions；the value increased with the increase of radial force and the velocity of orbital，decreased with the increase of the velocity of the rotation，there was an optimal gap ratio，which was about 1 to make the cage vibration amplitude minimum；the trend of slip rate of cage was similar to that without planetary rotation，but the level of reduction was higher.In summary，the radial vibration characteristic of cage was increased and the peripheral vibration characteristic was reduced under planetary rotation.