双环减速器的弹性动态静力分析

为揭示双环减速器系统中各零部件的真实受力情况,对完全平衡、非180°相位差的双环减速器进行了深入研究。受力分析中计入了诸多影响因素,如高速轴、环板、齿轮副、轴承的弹性变形及支承轴的附加转角。基于力-位移混合法构造了相应的变形协调条件,建立了该类过约束机构的弹性动态静力学方程。双环减速器中行星轴承的弹性变形最大,高速轴次之;环板的拉压、弯曲变形接近,不可忽略。

Elasto-quasi-static Analysis of Double-ring Gear Reducer

The double-ring gear reducer (DRGR) is a novel planetary gearing with small tooth-number difference. It has apparent advantages over common gear reducers such as large transmission ratio, high loading capacity, compact volume, low fabricating cost and wide adaptability. To obtain actual loading state of the components, a DRGR featuring a phase-angle difference of non-180 degrees and complete equilibrium has been investigated in details. Key influences were taken into account including the elasticity of high-speed shafts, gear-couplers, meshing teeth and bearings as well as additional rotation angle of the supporting shaft. The compatibility conditions of elastic deformations were derived by means of the so-called force-displacement hybrid method. Finally, the elasto-quasi-static equation of the over-constrained mechanism was developed.