推杆针轮活齿传动的扭转刚度分析

为研究推杆针轮活齿传动的扭转刚度及其影响因素，应用变形协调方法推导了推杆针轮活齿传动的啮合力及扭转刚度的计算公式.应用实例分析了推杆针轮活齿传动的啮合力变化规律及扭转刚度变化规律，讨论了推杆针轮活齿传动的结构参数对其扭转刚度的影响.实例分析表明:推杆活齿在齿顶和齿根处所受啮合力最小，在齿廓中部受啮合力最大；推杆针轮活齿传动的扭转刚度波动较很小；激波器偏心距和针齿数对扭转刚度的影响大；针齿半径和针轮半径对扭转刚度的影响较小；激波器半径对扭转刚度的影响几乎可以忽略.研究成果可为推杆针轮活齿传动的齿廓修形和参数选择提供理论依据. 

Analysis on the Torsional Stiffness for Push-Rod Teeth Transmission with Pin Gear

In order to study the torsional stiffness of push-rod teeth transmission with pin gear and influencing factors of the torsional stiffness, the formulas for calculating the meshing force and torsional stiffness were derived based on the deformation coordination method. By means of an example analysis, the variation law of the meshing force between the push-rod tooth and the pin, the variation law of the torsional stiffness of push-rod teeth transmission with pin gear were analyzed. The influence of the structural parameters of push-rod teeth transmission with pin gear on the torsional stiffness was discussed. The research results show that: there is the least meshing forces at the top and the root of the push-rod tooth profile, and there is the largest meshing force in the middle of the tooth profile; the torsional stiffness of push rod teeth transmission with pin gear fluctuates little; the eccentricity of generator and the number of pins have great influence on the torsional stiffness; the radius of pin and the radius of pin gear have little influence on the torsional stiffness; the influence of generator ’s radius on the torsional stiffness can be neglected. The research results can provide theoretical basis for tooth profile modification and parameter selection of the push-rod teeth transmission with pin gear.