| 齿数 |
Z |
2 |
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）距计算 |
内啮合变位斜齿轮跨棒（球）距计算 |
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点击这返回总目录 |
| 模数 |
m |
27 |
k≈（αn/180）*Z'+0.5+（2xnctgαn）/π |
dp＝（1.6-1.9）Mn,常用dp=1.68Mn |
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dp＝（1.6-1.9）Mn,常用dp=1.68Mn |
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| 变位系数 |
X |
0 |
Wk=mncosαn[π（k-0.5）+Z'invαn+2xntgαn] |
invαM=invαt+dp/(d*cosαt)+2*xn*tgαn/z-π/（2*z) |
invαM=invαt+dp/(d*cosαt)+2*xn*tgαn/z-π/（2*z) |
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| 跨齿数 |
k |
5 |
Z'=invαt/invαn |
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棒（球）直径 |
dp |
8.25 |
棒（球）直径 |
dp |
5 |
反渐开线函数 |
渐开线函数 |
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| 压力角 |
α |
20 |
αn |
压力角 |
20 |
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invαM |
-0.607911064 |
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invαM |
0.701767568 |
0.012221819 |
20 |
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| 螺旋角 |
β |
0 |
αn(弧度） |
压力角(弧度） |
0.34906585 |
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-0.990911069 |
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1.015162108 |
0.327573647 |
0.34906585 |
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| （αn/180）*Z' |
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0.222222222 |
invαn |
压力角渐开线函数 |
0.014904384 |
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-1.526707146 |
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1.610606092 |
0.339816093 |
0.014904384 |
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| 2xnctgαn/π |
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0 |
tgαn |
压力角正切值 |
0.363970234 |
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2.330834709 |
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2.594051985 |
0.115474977 |
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| K |
跨齿数 |
0.722222222 |
β(弧度） |
螺旋角弧度 |
0 |
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-1.021850623 |
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1.056149561 |
0.327395022 |
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| 公法线长度 |
Wk |
359.4402684 |
cosβ |
螺旋角余弦值 |
1 |
圆棒（球）中心圆压力角 |
αM |
-58.54772799 |
圆棒（球）中心圆压力角 |
αM |
60.5129124 |
18.75835299 |
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| 端面模数 |
mt |
27 |
αt(弧度） |
tgαn/cosβ反余切值 |
0.34906585 |
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| 分度圆直径 |
d |
54 |
invαt |
端面压力角渐开线函数 |
0.014904384 |
M（偶）=d*cosα/cosαM+dp |
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M（偶）=mt*z*cosαt/cosαMt-dp |
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| 齿顶高 |
ha |
27 |
tgαn/cosβ |
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0.363970234 |
跨棒（球）距（偶数齿） |
M（偶） |
105.4990539 |
跨棒（球）距（偶数齿） |
M（偶） |
98.08934738 |
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| 齿顶圆直径 |
da |
108 |
αt |
分度圆端面压力角 |
20 |
M（奇）=d*cosα/cosαM*cos(90/Z)+dp |
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M（奇）=mt*z*cosαt/cosαMt*cos90/z-dp |
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| 齿根高 |
hf |
33.75 |
Z' |
假想齿 |
2 |
跨棒（球）距（奇数齿） |
M（奇） |
77.01546548 |
跨棒（球）距（奇数齿） |
M（奇） |
67.8951766 |
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| 齿根圆直径 |
df |
-13.5 |
π（k-0.5） |
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14.13716694 |
Y3180E/YM3180E滚齿机差动挂轮调整公式 |
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| 全齿高 |
h |
60.75 |
Z'invαn |
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0.029808768 |
a*c/b*d＝±9*[sinβ/（Mn*k)] |
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| 总变位系数 |
X∑ |
0 |
2xntgαn |
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0 |
模数 |
Mn |
27 |
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| 检验是否有足够齿宽测量公法线 |
mncosαn |
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25.37170076 |
滚刀头数 |
K |
1 |
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| 齿宽b≥Lsinβ |
35 |
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螺旋角 |
β |
0 |
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Lsinβ |
0 |
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螺旋角弧度 |
β（弧） |
0 |
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sinβ |
0 |
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差动 |
a*c/b*d |
0 |
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| 公法线长度最小偏差△mL及公差δL（微米） |
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| 精度等级 |
结合形式 |
代 号 |
法面模数 |
齿 轮 直 径 （毫米） |
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| m法 |
≤50 |
＞50～80 |
＞80～120 |
＞120～200 |
＞200～320 |
＞320～500 |
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| （毫米） |
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| 6 |
Dc |
△mL |
＞1～2.5 |
80 |
95 |
115 |
140 |
160 |
210 |
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| ＞2.5～6 |
80 |
95 |
115 |
140 |
160 |
210 |
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| ＞6～10 |
— |
95 |
120 |
140 |
160 |
210 |
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| ＞10～16 |
— |
— |
120 |
140 |
160 |
210 |
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| δL |
＞1～16 |
34 |
40 |
40 |
45 |
50 |
50 |
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| 7 |
Dc |
△mL |
＞1～2.5 |
85 |
105 |
130 |
150 |
170 |
220 |
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| ＞2.5～6 |
85 |
105 |
130 |
150 |
190 |
220 |
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| ＞6～10 |
— |
110 |
130 |
160 |
190 |
240 |
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— |
— |
130 |
160 |
190 |
240 |
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| δL |
＞1～16 |
38 |
50 |
50 |
55 |
70 |
70 |
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| 8 |
Dc |
△mL |
＞1～2.5 |
95 |
115 |
140 |
170 |
200 |
240 |
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| ＞2.5～6 |
100 |
115 |
140 |
170 |
200 |
240 |
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| ＞6～10 |
— |
120 |
140 |
170 |
210 |
240 |
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| ＞10～16 |
— |
— |
150 |
180 |
210 |
240 |
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| δL |
＞1～16 |
48 |
70 |
70 |
80 |
90 |
90 |
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| 9 |
Dc |
△mL |
＞2.5～6 |
115 |
140 |
160 |
190 |
240 |
280 |
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| ＞6～10 |
— |
150 |
160 |
200 |
240 |
280 |
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| ＞10～16 |
— |
— |
180 |
210 |
240 |
280 |
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| δL |
＞2.5～16 |
65 |
95 |
95 |
115 |
140 |
140 |
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