变位螺旋伞齿轮几何尺寸计算

π 3.141592654

大端模数m=d1/Z1=d2/Z2m 1.5

齿型角α20

齿数小齿轮Z115

大齿轮Z256

传动比i=Z2/Z1i 3.733333333

分度圆直径d1=mZ1d122.5

d2=id1d284

节锥角 δ1=arctanZ1/Z2δ114.99507913

δ2=90-δ1δ275.00492087

锥距 R=d1/2sinδ1=d2/2sinδ2R43.48059912

齿宽 b=ΨR，Ψ=0.3 与b13.04417974

b=10m，取小值b15

齿距 P=πm P 4.71238898

工作齿高h′=1.7m；(Z1＜12查表)h′ 2.55

齿全高 h=1.950m(m≤1.3mm)；(Z1＜12查表)h 2.925

h=1.888m(m＞1.3mm)；(Z1＜12查表)h 2.832

齿顶高 ha1=h′-ha2ha1 1.818027742

ha2=0.46m+0.39m/(Z2/Z1)(Z2/Z1)；(Z1＜1ha20.731972258

m＞1.3mm

齿根高 hf1=h-ha1hf1 1.013972258h=1.888m(m＞1.3mm) hf2=h-ha2hf2 2.100027742h=1.888m(m＞1.3mm)顶隙 c=h-h′c0.282h=1.888m(m＞1.3mm)齿根角 θf1=arctanhf1/Rθf1 1.335901622

θf2=arctanhf2/Rθf2 2.765125152

齿顶角 θa1=arctanha1/R;(正常收缩齿)θa1 2.394278808

θa2=arctanha2/R;(正常收缩齿)θa20.964452211

θa1=arctanhf2/R;(等齿顶隙)θa1 2.765125152

θa2=arctanhf1/R;(等齿顶隙)θa2 1.335901622

顶圆锥角δa1=δ1+θa1;(正常收缩齿)δa117.38935794

δa2=δ2+θa2;(正常收缩齿)δa275.96937308

δa1=δ1+θf2;(等齿顶隙)δa117.76020428

δa2=δ2+θf1;(等齿顶隙)δa276.34082249

根圆锥角δf1=δ1-θf1δf113.65917751

δf2=δ2-θf2δf272.23979572

齿顶圆直径da1=d1+2ha1cosδ1da126.01224071

da2=d2+2ha2cosδ2da284.37877527

冠顶距 Ak1=d2/2-ha1*sinδ1Ak141.52961062

Ak2=d1/2-ha2*sinδ2Ak210.54295282

m≤1.3mm

齿根高 hf1=h-ha1hf1 1.106972258h=1.950m(m≤1.3mm) hf2=h-ha2hf2 2.193027742h=1.950m(m≤1.3mm)顶隙 c=h-h′c0.375h=1.950m(m≤1.3mm)齿根角 θf1=arctanhf1/Rθf1 1.458377802

θf2=arctanhf2/Rθf2 2.887376243

齿顶角 θa1=arctanha1/R;(正常收缩齿)θa1 2.394278808

θa2=arctanha2/R;(正常收缩齿)θa20.964452211

θa1=arctanhf2/R;(等齿顶隙)θa1 2.887376243

θa2=arctanhf1/R;(等齿顶隙)θa2 1.458377802

顶圆锥角δa1=δ1+θa1;(正常收缩齿)δa117.38935794

δa2=δ2+θa2;(正常收缩齿)δa275.96937308

δa1=δ1+θf2;(等齿顶隙)δa117.88245537

δa2=δ2+θf1;(等齿顶隙)δa276.46329867

根圆锥角δf1=δ1-θf1δf113.53670133

δf2=δ2-θf2δf272.11754463

齿顶圆直径da1=d1+2ha1cosδ1da126.01224071

da2=d2+2ha2cosδ2da284.51747217

冠顶距 Ak1=d2/2-ha1*sinδ1Ak141.52961062

Ak2=d1/2-ha2*sinδ2Ak210.54295282