滚子包络环面蜗杆传动副装配误差分析

Analysis of assembly errors of the roller enveloping hourglass worm drive

为了掌握装配误差对滚子包络环面蜗杆传动副齿面接触的影响规律,基于齿轮啮合原理和微分几何原理,在滚子包络环面蜗杆传动副的理论啮合几何学模型的基础上,建立了考虑中心距误差、蜗杆轴向误差、蜗轮轴向误差和轴交角误差等4项装配误差的传动副干涉分析模型,提出了传动副在2种干涉情况下的定量评价指标及其数值计算方法,通过实例计算验证了数学模型的正确性。实例分析结果表明:滚子包络环面蜗杆传动副的理论接触线为中间平面附近的一条空间圆柱螺旋曲线;在装配误差的各分量中,蜗杆轴向误差对接触干涉情况影响最大,蜗轮轴向误差影响最小。

In order to analyze the influences of assembly errors on the contact of roller enveloping worm gearing,an interference analysis model of the roller enveloping worm was build based on the theory of gear meshing and differential geometry,considering four assembly errors:center distance error,worm axial error,worm gear axial error,and shaft intersection angle error.The quantitative evaluation index and its numerical calculation method of the transmission pair under two kinds of interference conditions were put forward.The correctness of the mathematical model was verified by the example calculation.The results suggest that the theoretical contact line of the roller enveloping hourglass worm gearing is a space cylindrical spiral curve near the middle plane.Among the components of the assembly error,the axial error of the worm has the greatest influence on the contact interference,while the axial error of the worm gear has the least influence.