级间耦合刚度对行星传动系统灵敏度的影响分析

Influence of Inter-Stage Coupling Stiffness on Sensitivity of Two-Stage Planetary Transmission System

考虑行星传动中内齿圈的弹性变形及其切向和径向刚度约束的弹性基,通过级间耦合的方法建立了某混合动力系统中两级行星齿轮机构在弹性支承下的刚柔耦合混合动力学模型,基于所建模型,采用有限差分法并结合模态能量研究了四行星轮传动系统的固有频率对级间耦合刚度的灵敏度,研究结果表明:Ⅰ/Ⅱ级耦合扭转振动模式的固有频率随着第Ⅰ级内齿圈与第Ⅱ级行星架间耦合刚度、第Ⅰ级太阳轮与第Ⅱ级太阳轮间耦合刚度变化而变化,且固有频率的灵敏度程度随级间耦合刚度的增大而减小,其他各振动模式的固有频率均保持不变;模态能量分析验证了上述结论.

The lumped parameter-rigid elastic coupled dynamic model of two-stage planetary transmission system with thin-walled ring gear on elastic supports was established through inter-stage coupled method,in which the elastic deformation of the ring gear and the tangential and radial stiffness constraints were considered.Based on it,the finite difference method and modal energy were used for studying the sensitivity of the natural frequencies of the planetary transmission system with four planet gears.The results show that the natural frequencies ofⅠ/Ⅱcoupling torsional vibration modes vary with the coupling torsional stiffness of the ring gear of planet set I with the carrier of planet set II,the coupling torsional stiffness of the sun gear of planet set I with the sun gear of planet set II.The sensitivity of the natural frequency decreases with the increase of the inter-stage coupling stiffness.The natural frequencies of other vibration modes remain unchanged.The above conclusions are further verified by modal energy analysis.