环槽等速传动啮合副磨损补偿平衡研究

Research on Wear Compensation Balance of Ring Slot Equal Speed Driving's Meshing Pair

环槽等速传动机构啮合副磨损对系统传动精度的影响,根据滑移理论,提出同一个钢球上两个啮合点间滑动速度平均分配的观点,分析了传动机构的磨损补偿平衡机理。通过机构转化法建立相对坐标系,利用力学中超静定方法,通过啮合点变形协调方程和行星盘力矩平衡方程推导啮合点法向力计算公式,根据啮合副中各零件间的相对位置关系,推导行星盘和输出轴上的啮合点速度以及钢球几何中心的速度,然后求解啮合点滑动速度,根据啮合点磨损率计算公式,求得啮合点磨损量,将每次运行产生的磨损量代入法向力计算公式,获得法向力循环计算公式,并定义法向力变化率和磨损率变化率,通过数值分析软件获得啮合副的磨损补偿平衡规律规律。研究结果表明:随着循环次数的增加,各点法向力率变化率不断变化,经过多次循环之后趋近于零;随着循环次数的增加,各点磨损率变化率不断变化,经过多次循环之后趋近于零;摆线钢球行星传动存在磨损补偿平衡状态,在间隙调节机构作用下机构能够实现无隙啮合传动。

The institution meshing pair with ring slot equal speed has an influence on the syst-emtransmission accuracy.Basing on the sliding theory,averaging the two meshing points＇ sliding speed on a steel ball,and analysis the wear and tear compensation balance theory of transmission institutions. The relative coordinates is based on institutions＇ reforming,using statically method on mechanics,meshing points＇ vertical force formula is pushed out based on the meshing points＇ deformation harmonize equation and planetary disk＇s torque harmonize equa-tion. Based on the relative position relations of meshing points＇ parts,meshing points＇ speed of planetary disk and output shaft and steel ball＇s speed are derived. The meshing points＇ speed are calculated. The meshing points＇ wearing calculation is based on the wear rate formula,and put the wearing into the vertical force formula,the vertical force formula＇s recycle equation is obtained. The vertical force changing rate and wear rate changing rate are defined,obtainnning the meshing points＇ meshing compensation balance regular. The results show that vertical force＇s changing rate is changing with the cycles,and approach zero with the cycle time. The wear rate changing rate is changing with the cycles,and approach zero with the cycle tim-e. The cycloid steel ball planetary transmission has wear and tear compensation and it can rea-lize no gap meshing transmission under the gap regulating mechanism.