圆柱齿轮分扭传动系统的均载特性及试验研究

Load sharing characteristics and experimental research of cylindrical gear split-torque transmission system

运用集中参数法建立含齿面摩擦的动力学方程,根据系统闭环特点消除传动系统的刚体位移;采用Runge-Kutta法获得扭转刚度对传动系统动态均载系数的影响,并在3种工况下下开展2组传动系统均载性能的试验及对比分析。研究结果表明:通过减小双联轴扭转刚度获得的大变形可有效补偿齿轮副中心距位移、齿轮侧隙等引起的系统偏转角,改善均载性能;均载系数试验值和理论值之间的相对误差小于10%;在相同工况下,第2组均载系数的试验值均比第1组的低,试验结果验证了理论研究模型的有效性;为获得较好的均载性能,在满足强度的条件下,可尽量增大双联轴的柔度。

The dynamic equations with tooth surface friction were established by using lumped parameter method.The rigid body displacement of the transmission system was eliminated according to the closed-loop characteristics of the system.The Runge-Kutta method was used to obtain the influence of torsional stiffness on the dynamic load sharing coefficient of the transmission system.The load sharing performance test and comparative analysis of the transmission system under two sets of parameters and three operating conditions were carried out.The results show that the large deformation obtained by reducing torsional stiffness of the duplicate shaft can effectively compensate for the system deflection angle caused by the gear center displacement and gear backlash,and improve the load sharing performance. The relative error between the test value and the theoretical value of load sharing coefficient is less than 10%.Under the same operating condition,the test values of the load sharing performance obtained by the second sets are lower than those of the first sets,which verifies the validity of theoretical model.In order to obtain better load sharing performance, the flexibility of the duplicate shaft can be maximized under the condition of satisfying strength.