啮合刚度和径向支承刚度对复合行星轮系均载的影响比较

Comparison of the Influences of Different Stiffness Excitations on Load Sharing Behaviour of Compound Planetary Gear Set

为比较啮合刚度和径向支承刚度对周转轮系均载性能的影响权重,建立了含刚度、误差和间隙等内部激励的复合行星轮系平移-扭转动力学模型,采用田口实验法建立均载多因素分析模型,计算变刚度激励作用下的复合行星轮系均载系数,通过信噪比分析、方差分析对比均载变化梯度,量化均载系数在不同类型的刚度激励作用下的灵敏度,找出决定均载性能的刚度激励。研究结果表明:不同类型的刚度激励对均载的影响效果存在很大差异,决定均载优劣的刚度激励是中心轮的径向支承刚度,其次是行星轮的径向支撑刚度和所有啮合副的啮合刚度;降低刚度激励的幅值可以有效提升轮系均载性能。

In order to compare the influence weights of meshing stiffness and radial support stiffness on epicyclic gear train load sharing behavior,a translation-torsional dynamic model of compound planetary gear train was developed,including internal excitation such as stiffness,error and clearance.Taguchi method was used to establish a multi-factor analysis model of uniform load to calculate the uniform load coefficient of compound planetary gear train under the action of variable stiffness excitation.By using signal to noise ratio evaluation,analysis of variance and comparing the gradients for each stiffness excitation,the contribution ratios of each excitation were quantified and the stiffness excitation that determined load sharing behavior was found out.The research results indicated that different types of stiffness excitation had very different effects on load sharing.The radial support stiffness of the center wheel,the radial support stiffness of the planetary wheel and the meshing stiffness of all meshing pairs determined the load sharing behavior.Reducing the amplitude of stiffness excitation can effectively improve the load sharing behavior of the gear train.