螺旋伞齿轮几何尺寸自动计算

弧齿锥齿轮几何尺寸计算,,,,

名称,代号,,小齿轮,大齿轮

齿数比,u,2,u=Z2/Z1按传动要求确定，通常u=1~10,

大端分度圆直径,de,11.788,de1根据弧度计算（按表23.4-22）或结构初定,de2=z2*me

,de1=z1*me,20,,

,de2=z2*me,10,,

齿数,z,,,z2=z1*u

小齿数,z1,20,,

大齿数,z2,10,,

大端模数,me,1,de1/z1可适当调整,

分锥角,δ,,δ1=arctanz1/z2,δ2=90-δ1

,δ1,63.435,1.107148718,

,δ2,26.565,0.463646987,

外锥距,Re,11.180,Re=de1/2sinδ1,

齿宽系数,φR,0.3,φR=1/4~1/3常取0.3,

齿宽,b,3.35,b=φR*Re适当取整,

中点模数,mm,0.85,mm=me(1-0.5φR),

齿宽中点的螺旋角,βm,35,等顶隙收缩齿的标准螺旋角βm=35度,0.610864722

中点法向模数,mnm,0.696,mnm=mm*cosβm,

切向变位系数,xt,,xt1按表23.4-9选取,xt2=-xt1

,xt1,0,,

,xt2,0,,

径向变位系数,x,,x1=0.39(1-1/u*u),x2=-x1

,x1,0.2925,,

,x2,-0.2925,,

齿形角,an,20,an=20度,0.349065556

齿顶高,ha,,ha=(ha*+x)me,ha*=0.85

,ha1,1.1425,ha1=(ha*+x1)me,

,ha2,0.85,ha2=(ha*+x2)me,

齿根高,hf,,hf=(ha*+c*-x)me,

,hf1,0.7455,hf1=(ha*+c*-x1)me,

,hf2,1.3305,hf2=(ha*+c*-x2)me,

全齿高,h,,h1=ha1+hf1,h2=ha2+hf2

,h1,1.888,,

,h2,2.1805,,

顶隙,c,,c=c*mec*=0.188,0.188

齿顶角,θa,,等顶隙收缩齿θa1=θf2,θa2=θf1

,θa1,6.786,39.72,420

,θa2,3.815,,

齿根角,θf,,θf1=arctanhf1/Re,θf2=arctanhf2/Re

,θf1,3.815,0.066580987,3.814812784

,θf2,6.786,0.118446494,6.786489917

顶锥角,δa,,等顶隙收缩齿δa1=δ1+θf2,δa2=δ2+θf2

,δa1,70.221,,

,δa2,33.352,,

根锥角,δf,,δf1=δ1-θf1,δf2=δ2-θf2

,δf1,59.620,19.8,48

,δf2,19.779,,

齿顶圆直径,dae,,dae1=de1+2ha1cosδ1,dae2=de2+2ha2cosδ2

,dae1,21.022,,

,dae2,11.521,,

锥顶到轮冠距离,Ak,,Ak1=de2/2-ha1sinδ1,Ak2=de1/2-ha2sinδ2

,Ak1,3.978,,

,Ak2,4.620,,

中点法向齿厚,Smn,,Smn1=(0.5πcosβm+2x1tanan+xt1)mm,Smn2=πmmcosβm-Smn1

,Smn1,1.275,,

,Smn2,0.913,,

中点法向齿厚半角,ψmn,,ψmn1=Smn1cosδ1cosβmcosβm/mm/z1,ψmn2=Smn2cosδ2cosβmcosβm/mm/z2

,ψmn1,0.023,,

,ψmn2,0.064,,

中点齿厚角系数,Kψmn,,Kψmn1=1-ψmn1*ψmn1/6,Kψmn2=1-ψmn2*ψmn2/6

,Kψmn1,1.000,,

,Kψmn2,0.999,,

中点分度圆弦齿厚,/Smn,,/Smn1=Smn1Kψmn1,/Smn2=Smn2Kψmn2

,/Smn1,1.275,,

,/Smn2,0.912,,

中点分度圆弦齿高,/ham,,/ham1=ha1-0.5bt