扭转刚度对功率分流传动系统均载特性的影响

考虑齿侧间隙、齿轮副间的时变啮合刚度、齿轮偏心误差、轴的扭转以及支撑刚度等,构建了面齿轮-圆柱齿轮两次功率分流传动的动力学模型。利用传动构型的力封闭特点以及将轴的扭转角位移当量转化成线位移的方法,消除了系统方程中的刚体位移。采用Runge-Kutta数值仿真法求解了动力学方程,获得了传动系统的均载系数,并研究了各传动轴扭转刚度对均载系数的影响。结果表明:输入、输出轴的扭转刚度对系统各传动级均载特性几乎没有影响;均载系数对左、右分扭轴和双联轴的扭转刚度较敏感。在双联轴满足强度要求且扭转刚度取较小值时,左、右分扭轴扭转刚度的合理匹配可进一步提高系统的动力学均载特性。 

Influence of torsional stiffness on load sharing characteristics of power split transmission system

Considering factors such as the backlash, time-variant mesh stiffness, eccentricity errors, shaft torsion and support stiffness, a dynamic model of the system was developed. The rigid body displacement in the kinetic equation was eliminated by using the force closure feature of the transmission configuration and the method of converting the torsional angular displacement equivalent of the shaft into a linear displacement. The dynamic equations were solved by Runge-Kutta numerical simulation method, and the load-sharing coefficients of the system were obtained. The influence of the torsional stiffness of transmission shaft on the load sharing performance was studied. Results showed that torsional stiffness of input shaft and output shaft had little influence on load sharing performance of each transmission stage of the system; the load sharing coefficients were sensitive to the torsional stiffness of the compound shaft and the spilt torque shafts. Once the compound shaft met the strength requirement and the torsional stiffness took a small value, rationally configuring the torsional stiffness of left-branch and right-branch spilt torque shafts can improve dynamic load sharing performance of system.