花键计算表格

shafthubReference diameter dB 66modulem 0.80.8number of teeth z 6-6pressure angle α3030pitchp 2.51327 2.51327addendum modificationx*m 0.16-0.16addendum if basic rack profileh ap 0.360.36addendum of tool basic rack profile h fp0dedendum of basic rack profile h fp 0.440.44tooth depth of basic rack profileh p 0.80.8bottom clearance of basic rack profile c p 0.080.08root fillet radius of basic rack profile ρfp 0.1280.128reference circle diameter d 4.8-4.8base diameterd b 4.157-4.157tip circle diameter of shaft d a1 5.84root circle diameter of shaft d f1 4.24minimum form clearanceC fmin 0.025base from circle diameter of shaft d Ff1 4.35tip circle diameter of hub d a2-4.4root circle diameter of hub d f2-6minimum form clearance C fmin 0.025?root form circle diameter of hub d Ff2-5.89form clearance of basic rack profile C FP 0.0160.016nominal space width on hub e 2 1.441min. effective toleraence limit e vmin 1.441min. actual reference mark e min 1.467max. actual tolerance limit e max 1.512nominal shaft tooth thickness s 1 1.441max. effective tolerance limit s vmax 1.409max. actual reference mark s max 1.383min. actual tolerance limit s min 1.338lengthL95100tolerance class 1010deviation seriesd H tooth thickness/space widthA s /A e-0.0320.000tooth thickness tolerance,actual space width T act 0.0450.045tooth thickness tolerance,effective space width T eff 0.0260.026total tooth tolerance/space widith tolerance T G 0.0710.071individual pitch deviation fp 0.0190.019total pitch deviation Fp 0.0450.045total profile deviation F α0.0230.023total helix deviationF β0.0150.015broaching DIN5480runout Fr0.020.02 measuring circle diameter D M 2.25 dimension over measuring circle M18.998 deviation factor for inspection dimension A*M1 1.100A MeeE-0.064A Mei-0.113number of teeth measured for face width measurement k 2base tangent length over k teeth Wk 3.648deviation factor for base tangent length Wk A*Wk0.866A WeeE-0.0502A Wei-0.0892 measuring circle diameter D M 1.4 dimension between measuring circle M2 3.052 deviation factor for inspection dimension M2A*M20.172A Mie 2.42A MiiE0.063 base tangent length over k teeth Wk 3.648 deviation factor for base tangent length Wk A*Wk0.866A Wie0.061A WiiE0.023mm °mm mm。

相目公式计算结果齿轮已知参数齿数Z122齿数Z222模数Mn 1.25中心距A0齿面宽B100螺旋角β00齿高系数ha*0.45齿形角an0.52359877630齿顶系数cn*0.15 1分度圆直径d1d1=Mn*Z127.527.500分度圆直径d2d2=Mn*Z227.527.500 4啮合角a wt tgat=tgan0.5773502690.577 at=arctgat0.52359877630.000 5总变位系数Xn invawt=tgawt-awt0.0537514940.054 invat=tgat-at0.0537514940.054 6变位系数分配Xn1 Xn2Xn1 取值0.450.450 Xn2=Xn10.4500.450Z2Z2=Z122.00022.000 8齿顶高ha1 ha2ha1=(ha*+x1)*Mn 1.125 1.125 ha2=(ha*-x2)*Mn00.000 9齿根高hf1 hf2hf1=(ha*+cn-x1)*Mn0.18750.188 hf2=(ha*+cn*+x2)*Mn 1.3125 1.31310齿高 h1 h2h1=ha1+hf1 1.313 1.313h2=ha2+hf2 1.313 1.313 11齿顶圆直径da1 da2da1=m*z1+2*x1*m+2*0.45*m29.7529.750da2=m*z2+2*x2*m-2*0.45*m27.527.500 12齿根圆直径df1 df2df1=mz1+2*x1m-2*0.6*27.12527.125df2=mz2+2*x2m-2*0.6*m30.12530.12513公法线计算Wn1 Wn2当量齿数 Z*1 Z*2Z*1=Z1*invat/invan79.3412822979.341Z*2=Z2*invat/invan79.3412822979.341跨测齿数 K1 K2(1+2*Xn/Z*)*(1+2*Xn/Z*) 1.022815475 1.0231.022815475 1.023COSan*COSan0.750.750SQRT0.5223174090.5220.5223174090.522K1 4.1666666674 K2 4.1666666674 W*1 W*2W*=COS(PI(K-0.5)+Z*INVan)10.5465501610.54710.5465501610.547Wn1 Wn1=(W*1+2*Xn1*SINan)*Mn13.745687713.746 Wn2Wn1=(W*2+2*Xn2*SINan)*Mn13.745687713.7462、适用于DIN5480标准3、C5单元参数输入角度数值4、该程序适用于西欧DIN5480花键计算，内齿套不保根径，齿侧系数为0.15齿根高hf1 hf2 0.60Mn备注：1、以上数据均为理论数据，齿顶系数cn*选为0.15。

shafthubReference diameter dB 66modulem 0.80.8number of teeth z 6-6pressure angle α3030pitchp 2.51327 2.51327addendum modificationx*m 0.16-0.16addendum if basic rack profileh ap 0.360.36addendum of tool basic rack profile h fp0dedendum of basic rack profile h fp 0.440.44tooth depth of basic rack profileh p 0.80.8bottom clearance of basic rack profile c p 0.080.08root fillet radius of basic rack profile ρfp 0.1280.128reference circle diameter d 4.8-4.8base diameterd b 4.157-4.157tip circle diameter of shaft d a1 5.84root circle diameter of shaft d f1 4.24minimum form clearanceC fmin 0.025base from circle diameter of shaft d Ff1 4.35tip circle diameter of hub d a2-4.4root circle diameter of hub d f2-6minimum form clearance C fmin 0.025?root form circle diameter of hub d Ff2-5.89form clearance of basic rack profile C FP 0.0160.016nominal space width on hub e 2 1.441min. effective toleraence limit e vmin 1.441min. actual reference mark e min 1.467max. actual tolerance limit e max 1.512nominal shaft tooth thickness s 1 1.441max. effective tolerance limit s vmax 1.409max. actual reference mark s max 1.383min. actual tolerance limit s min 1.338lengthL95100tolerance class 1010deviation seriesd H tooth thickness/space widthA s /A e-0.0320.000tooth thickness tolerance,actual space width T act 0.0450.045tooth thickness tolerance,effective space width T eff 0.0260.026total tooth tolerance/space widith tolerance T G 0.0710.071individual pitch deviation fp 0.0190.019total pitch deviation Fp 0.0450.045total profile deviation F α0.0230.023total helix deviationF β0.0150.015broaching DIN5480runout Fr0.020.02 measuring circle diameter D M 2.25 dimension over measuring circle M18.998 deviation factor for inspection dimension A*M1 1.100A MeeE-0.064A Mei-0.113number of teeth measured for face width measurement k 2base tangent length over k teeth Wk 3.648deviation factor for base tangent length Wk A*Wk0.866A WeeE-0.0502A Wei-0.0892 measuring circle diameter D M 1.4 dimension between measuring circle M2 3.052 deviation factor for inspection dimension M2A*M20.172A Mie 2.42A MiiE0.063 base tangent length over k teeth Wk 3.648 deviation factor for base tangent length Wk A*Wk0.866A Wie0.061A WiiE0.023mm °mm mm。

30平齿根30圆齿根37.5圆齿根45圆齿根齿数 Z16请在绿色框格中填入适当的数值，其余不得改动! Yzx.2002.0模数 m 1.5压力角αD303037.545公差等级ＧＢ３４７８。

１－１９９５分度圆直径 D24基圆直径 Db20.7846120.7846119.0404816.97056大径 Dei26.2526.726.125.8外花键大径Dee终止圆直径Dfimin25.825.825.6525.5起始圆直径Dfemax小径 Dii22.7178522.7178522.753222.84994外花键小径Die齿槽宽最大值Emax 2.505261 2.505261 2.505261 2.505261作用齿厚最大值Svmax齿槽宽最小值Emin 2.406909 2.406909 2.406909 2.406909齿厚最小值Smin齿槽宽最大值Evmax 2.454547 2.454547 2.454547 2.454547作用齿厚最小值Svmin齿槽宽最小值Evmin 2.356194 2.356194 2.356194 2.356194实际齿厚最大值Smax齿根最小曲半径Rimin0.30.60.450.375齿根最小曲半径Remin花键长度 g70周节累积公差Fp0.0615940.0615940.0615940.061594周节累积公差Fp齿形公差 Ff0.051340.051340.051340.05134齿形公差 Ff齿向公差 Fβ0.0267330.0267330.0267330.026733齿向公差 Fβ量棒直径 DRi 5.6量棒直径 Dre内花键间距MRimin#NUM!外花键间距MRemin内花键间距Mrimax#NUM!外花键间距Mremax计算量棒直径D'ri 2.693588计算量棒直径D'ReDce24.10893αce0.5313720.242302132invαimax-0.11129invαemaxinvαimin-0.11539#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!#NUM!αimax#NUM!αimin#NUM!30平齿根30圆齿根37.5圆齿根45圆齿根不得改动! Yzx.2002.03.1025.525.525.3525.222.4178522.4178522.453222.5499421.7521.321.922.22.356194 2.356194 2.3561942.3561942.207128 2.207128 2.207128 2.2071282.257842 2.257842 2.2578422.2578422.30548 2.30548 2.30548 2.305480.30.60.450.3750.0615940.0615940.0615940.0615940.051340.051340.051340.051340.0267330.0267330.0267330.026733840.7450940.85523.00639λ0.0507140.338364invαemin0.3342661.011287 1.0020970.8768550.8741910.6325870.6347140.8859080.8831580.6326130.634740.8858740.883125。

花键量规计算标准综合通端花键塞规计算说明：1.用综合通规（塞规）控制内花键作用齿槽宽最小值，从而控制作用侧隙的最小值。

2.同时还应测量棒间距MRI或共法线平均长度W,以控制内花键实际齿槽宽最大值或外花键实际齿厚最小值。

输入内花键渐开线参数值：齿数18模数 1.5压力角30分度圆直径27基圆直径23.3826859内花键实际齿槽宽的最大值Emax 2.501(1)查表GB3478.1-83得:总公差T+λ0.1040综合公差λ0.0370故加工公差T0.0670内花键作用齿槽宽的最小值E V min 2.397000(2)查GB5106-85量规制造误差表2得:综合通规齿厚制造工差H0.004综合通规齿厚制造公差带的位置公差Z0.004综合通规磨损极限裕度Y0.002综合通规齿厚上极限尺寸Ts 2.403000综合通规齿厚上极限尺寸Ti 2.399000综合通规齿厚磨损极限尺寸Tu 2.395000(3)量规量棒直径D Re的确定量规分度圆处与量棒接触点上的压力角αce(弧度值）0.523598776求出需用的最小量棒直径D'Re 2.773量棒的计算直径DRe 3.350(4)求出量棒与花键齿形接触处渐开线函数值INVα量规齿厚为上极限尺寸Ts时量棒中心圆处压力角INVαTs0.111486969量规齿厚为上极限尺寸Ti时量棒中心圆处压力角INVαTi0.11133882量规齿厚为上极限尺寸Tu时量棒中心圆处压力角INVαTu0.111190672(5)查渐开线函数表得:αTs35.15833333αTi35.14666667αTu35.13333333 (6)计算量规齿厚极限尺寸的M Re值：量规齿厚跨棒距测量的Mre最大值31.950量规齿厚跨棒距测量的M re最小值31.946量规齿厚跨棒距测量的Mre磨损极限值31.942。

圆柱直齿花键公式计算
渐开线圆柱齿轮基本齿廓
注：1.渐开线圆柱齿轮的基本齿廓是指基本齿条的法向齿廓。

2.本标准适用于模数m≥1mm，齿形角α=20°的渐开线圆柱齿轮。

圆柱齿轮重合度计算
1.直齿圆柱齿轮重合度计算公式
式中，“±”符号中，“＋”号用于外啮合传动，“－”号用于内啮合传动。

2.斜齿圆柱齿轮重合度计算公式
总重合度
端面重合度
纵向重合度
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齿数Z模数m压力角α分度圆直径D渐开线起始圆直径Dfmax基圆直径Db34 2.520858279.874通端大径最小值Deemax+2CF+0.1m90.25齿形终止圆直径Deemax+2CF90小径Dfmax k782k7由国标GB3478.1-83得T+λλT0.0820.0340.048Smax=S-S上差=Svmax-λSvmax=Smax+λ5.373 5.407Smin=S-S下差=Svmax-（T+λ）Svmin=Smin+λ5.325 5.359T=Smax-Smin0.048由国标GB5106-85表2查得D=85,S=5.383时H1Z1Y10.010.0050.005按国标GB5106-85表6公式计算通端花键环规齿槽宽上极限尺寸TS1=Svmax-Z1+H1/25.407通端花键环规齿槽宽下极限尺寸Ti1=Svmax-Z1-H1/25.397通端花键环规齿槽宽磨损极限尺寸Tu1=Svmax+Y15.412量棒直径θ=S/D*180/π3.621767Dri=D*sinθ/cos（α-θ）5.596523按5.5965在优先系数R40中取偏大的值为5.6量棒与花键环规齿形接触处的压力角αxinvαx=E/D+（invα-Dri/Db）inv20°0.0149查表TS1invαTS1αTS1换算成弧度5.4070.00840116.60840.289871263 Ti1invαi1αi15.3970.00828416.532270.288542597 Tu1invαu1αu15.4120.0084616.64620.290530998棒间距Mri=Db/cosαx-DriMri（TS1）77.75136Mri（Ti1）77.71842Mri（Tu1）77.76779大径Dee小径Die变位系数X弧齿厚S CF S上差S下差89.5840.8 5.3830.25-0.01-0.058止端大径最小值Deemax+2CF+0.1m90.25齿形终止圆直径Deemax+2CF90小径(D+2*Dfmax)/3js883js8止端花键环规齿槽宽上极限尺寸ZS1=Svmin+H1/25.364止端花键环规齿槽宽下极限尺寸Zi1=Svmin-H1/25.354ZS1invαZS1αZS15.3640.00789516.27560.28406 Zi1invαZi1αZi15.3540.00777816.19610.28268 Mri（ZS1）77.60861Mri（Zi1）77.57499。