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各位老师前段时间 求助的∑=156度 的直齿锥齿轮幅经确认确是错误的，正确的轴交角应该是∑=114度 ，但对方单位的计算结果和我们计算的有出入，现将对方单位的计算结果发出来，请各位老师帮忙检查下。或是帮学生计算下，看是否是正确的，又麻烦各位老师了，谢谢各位了。
小齿轮齿数 z1 =8 大齿轮齿数 z2 =32 大端模数m =2 轴线交角 ∑ =114.00°齿宽系数 φR = 0.30 齿顶高系数ha'=1.00
顶隙系数 c'=0.20 齿形角 α=20.00°径向变位系数 x=0.34 切向变位系数 xt =0.09 齿轮精度
GB/T11365-1989 齿轮1精度等级
8-8-8 配对齿轮精度等级
8-8-8 齿轮副精度等级
8-8-8 最小法向齿隙种类
e 法向侧隙公差种类
D 解:
(1) 齿数比
实际齿数比u=z2/z1=32/8=4.000
(2) 分锥角
δ1 = atan(sin(180-∑)/(u-cos(180-∑)))=14.26°
δ2 = Σ-δ1=114-14.2646=99.74°
(3) 大端分度圆直径
d1 = z1*m =8*2= 16mm
d2 = z2*m = 32*2=64mm
(4) 外锥距
R = d1/2sinδ1
=16/0.4928= 32.47 mm
(5) 齿宽
b = φR*R =0.3*32.4676= 6.5mm
(6) 大端齿距
p = π*m =π*2= 6.28mm
(7) 齿顶高
ha1 = m*(1+x1) =2*(1+0.34)= 2.68mm
ha2 = m*(1+x2) = 2*(1+(-0.34))=1.32mm
(8) 齿根高
hf1 = m*(1+c'-x1) = 2*(1+0.2-0.34)=1.72mm
hf2 = m*(1+c'-x2) = 2*(1+0.2-(-0.34))=3.08mm
(9) 顶隙
c = m*c' =2*0.2= 0.4 mm
(10) 齿根角
θf1
= arctan(hf1/R) =arctan(1.72/32.4676)= 3.03°
θf2
= arctan(hf2/R) =arctan(3.08/32.4676)= 5.42°
(11) 齿顶角
等顶系收缩齿：
θa1
= θf2 = 5.42°
θa2
= θf1 = 3.03°
(12) 顶锥角
等顶系收缩齿：
δa1
= δ1+θf2 = 14.2646+3.03246=19.68°
δa2
= δ2+θf1 = 99.7354+5.41908=102.77°
(13) 根锥角
δf1
= δ1-θf1 = 14.2646-3.03246=11.23°
δf2
= δ2-θf2 = 99.7354-5.41908=94.32°
(14) 齿顶圆直径
da1 = d1+2*ha1*cos(δ1) =16+2*2.68*0.969168= 21.19mm
da2 = d2+2*ha2*cos(δ2) = 64+2*1.32*-0.169099=63.55mm
(15) 冠顶距
Ak1 = R*cos(δ1)-ha1*sin(δ1) = 32.4676*0.969168-2.68*0.2464=31.34mm
Ak2 = R*cos(δ2)-ha2*sin(δ2) = 32.4676*-0.169099-1.32*0.985599=6.7mm
(16) 大端分度圆弧齿厚
s1 = m*(π/2+2*x1*tan(α)+xt1) =2*(π/2+2*0.34*0.36397+0.09)= 3.82mm
s2 = π*m-s1 = π*2-3.81659=2.47mm
(17) 大端分度圆弦齿厚
s1' = s1*(1-s1*s1/(6*d1*d1)) = 3.81659*(1-3.81659*3.81659/(6*16*16))=3.78mm
s2' = s2*(1-s2*s1/(6*d2*d2)) = 2.46659*(1-2.46659*3.81659/(6*64*64))=2.47mm
(18) 大端分度圆弦齿高
ha1' = ha1+s1*s1*cos(δ1)/(4*d1) =2.68+3.81659*3.81659*0.969168/(4*16)= 2.9mm
ha2' = ha2+s2*s2*cos(δ2)/(4*d2) =1.32+2.46659*2.46659*0.969168/(4*16)= 1.32mm
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发表于 2011-8-5 17:42
发表于 2011-8-6 10:34
