蜗轮蜗杆计算

1、蜗轮传动计算名称代号蜗杆蜗轮输入数据模数m1.6齿数z167特性系数q12压力角20变位系数x-0.375输出数据分度圆直径d20107.2节圆直径d18107.2齿顶高ha1.61齿根高hf1.922.52全齿高h3.52齿顶圆直径da23.2109.2齿根圆直径df16.16102.16蜗杆螺旋线升角=4.763641691周节p5.026548246蜗轮外径dg2Z=1时112.4蜗轮齿顶圆弧半径R18.4蜗轮齿根圆弧半径R211.92蜗轮宽度bZ3时17.4蜗轮包角270-90中心距a62.6变位系数x-0.375齿数Z17外啮合高变位斜齿轮公法线长度计算外啮合变位斜齿轮跨棒（球）距计

2、算模数m6k（n/180）*Z+0.5+（2xnctgn）/dp（1.6-1.9）Mn,常用dp=1.68Mn变位系数X0Wk=mncosn（k-0.5）+Zinvn+2xntgninvM=invt+dp/(d*cost)+2*xn*tgn/z-/（2*z)跨齿数k2Z=invt/invn棒（球）直径压力角20n压力角2020螺旋角0n(弧弧度度） 压力角(弧度）0.34906585（n/180）*Z1.888888889 invn压力角渐开线函数0.0149043842xnctgn/0tgn压力角正切值0.363970234K跨齿数2.388888889 (弧弧度度）螺旋角弧度0公法线长度W

3、k27.99774794 cos螺旋角余弦值1圆棒（球）中心圆压力角端面模数mt6t(弧弧度度） tgn/cos反余切值0.34906585分度圆直径d102invtt端面压力角渐开线函数 0.014904384M（偶）=d*cos/cosM+dp齿顶高ha6tgn/cos0.363970234 跨棒（球）距（偶数齿）齿顶圆直径da114t分度圆端面压力角20M（奇）=d*cos/cosM*cos(90/Z)+dp齿根高hf7.5Z假想齿17跨棒（球）距（奇数齿）齿根圆直径df87（k-0.5）4.71238898Y3180E/YM3180E滚齿机差动挂轮调整公式全齿高h13.5Zinvn0.

4、253374526a*c/b*d9*sin/（Mn*k)总变位系数 X02xntgn0模数检验是否有足够齿宽测量公法线 mncosn5.638155725滚刀头数齿宽bLsin35螺旋角Lsin0螺旋角弧度差动公法线长度最小偏差mL及公差L（微米）精度等级结合形式代号法面模数齿 轮 直 径 （毫米）m法50508080120（毫米）6DcmL12.580951152.568095115610951201016120L1163440407DcmL12.5851051302.56851051306101101301016130L1163850508DcmL12.5951151402.5610011

5、51406101201401016150L1164870709DcmL2.561151401606101501601016180L2.5166595958DcmL内啮合变位斜齿轮跨棒（球）距计算dp（1.6-1.9）Mn,常用dp=1.68MninvM=invt+dp/(d*cost)+2*xn*tgn/z-/（2*z)dp8.25棒（球）直径dp5反渐开线函数invM0.0085778020.008577802invM0.0551385910.0551385910.0122218190.0122218190.2919761910.5280022560.3275736470.300566231

6、0.583236580.3398160930.0903400590.3401649080.1154749770.2918407320.5277208250.327395022M16.72124224圆棒（球）中心圆压力角M30.2361760618.75835299M（偶）=mt*z*cost/cosMt-dpM（偶）108.3304604跨棒（球）距（偶数齿）M（偶）105.9414523M（奇）=mt*z*cost/cosMt*cos90/z-dpM（奇）107.9035348跨棒（球）距（奇数齿）M（奇）105.4681956Mn6K10（弧） 0sin0a*c/b*d 01202002

7、00320320500140160210140160210140160210140160210455050150170220150190220160190240160190240557070170200240170200240170210240外啮合变位斜齿轮跨棒（球）距计算dp（1.6-1.9）Mn,常用dp=1.68MninvM=invt+dp/(d*cost)+2*xn*tgn/z-/（2*z)M（偶）=d*cos/cosM+dpM（奇）=d*cos/cosM*cos(90/Z)+dpY3180E/YM3180E滚齿机差动挂轮调整公式a*c/b*d9*sin/（Mn*k)公法线长度最小偏差mL及公差L（微米）齿 轮 直 径 （毫米）180210240809090190240280200240280210240280115140140渐开线函数20200.349065850.014904384蜗轮传动计算名称代号蜗杆蜗轮输入数据模数m1.6齿数z170特性系数q12压力角20变位系数x-0.625输出数据分度圆直径d20112节圆直径d17.2112齿顶高ha1.60.6齿根高hf1.922.92全齿高h3.52齿顶圆直径da23.2113.2齿根圆直径df16.16106.16蜗杆螺旋线升角=4.763