双联行星轮角度偏差对系统均载特性的影响

为了研究双联行星齿轮在实际设计参数下,其相对角度偏差对复合行星传动系统动力学特性的影响,采用集中参数法建立了3K-I型行星齿轮动力学模型,模型中将双联行星齿轮的相对角度偏差转化为啮合副齿侧间隙的变化,考虑了双联齿轮角度偏差、轮齿侧隙和时变啮合刚度等非线性因素,采用龙格库塔法求解了系统的时域响应并计算其均载系数。分析了不同工况、偏差下系统的动态特性。结果表明,存在双联行星轮角度偏差时,轻载下更容易发生齿轮的脱齿与冲击,系统的均载系数随着双联行星轮角度偏差差值及系统的负载降低而增大,各组行星轮角度偏差分布越集中,角度偏差对系统均载特性的影响越小;角度偏差分布同号时,对系统中某一对齿轮的承载影响明显;角度偏差分布异号时,对系统均载特性的影响最大。

Influence of angular deviation of double planetary gears on system load sharing characteristics

In order to study the influence of the relative angular deviation of the double planetary gears on the dynamic characteristics of the compound planetary transmission system,a lumped-parameter dynamic model of a 3K-I planetary gear was established.The relative angular deviation was converted into the change of the backlash.The elative angular deviation,backlash and time-varying meshing stiffness were taken into consideration,and the Runge-Kutta method was used to determine the dynamic response and calculate the average load factor of the system.The dynamic characteristics of the system under different conditions were analyzed.The results show that the relative angular deviation is more likely to cause gear tooth breakage and impact under light load,and the average load factor of the system increases as the difference of the angular deviation of the double planetary gears and the load of the system decreases.The more concentrated the angular deviation distribution of each group of planetary gears,the smaller the influence of the angular deviation on the load sharing characteristics of the system.When the angular deviation distribution is the same,the bearing load of a pair of gears in the system is obviously affected.The angular deviation difference has the greatest influence on the system load characteristics.