渐开线齿轮啮合 改变中心距与侧隙关系计算表

内外渐开线齿轮啮合传动中心距与侧隙关系计算参数名称参数代号参数值备注参数名称参数代号参数值备注参数名称参数代号参数值备注传动比i1.561.001齿轮齿数Z192齿轮齿数Z214外齿1齿轮外齿2.001齿轮变位系数xn10.50032齿轮变位系数xn20.5003内齿或外齿2齿轮外齿2.001齿轮跨齿数k1222齿轮跨齿数k233法向模数mn1.2501齿不跟切最小变位系数（滚）x1min0.47362齿不跟切最小变位系数（滚）x2min0.1812法向压力角αn20.0000°1齿轮公法线法向长度Wn16.12062齿轮公法线法向长度Wn29.8983法向齿顶高系数han*1.00测量棒/球直径dp12.0000参照DP测量棒/球直径dp22.0000参照DP法向间隙系数cn*0.25测量棒/球直径参考值DP2.06251、2齿轮有效啮合齿宽b20.00有效齿宽设计中心距A15.40001齿轮宽度b120.002齿轮宽度b240.00初始中心距A014.3750跨距M1值M114.3477跨距M2值M220.8753填写："已知AL"或"已知L"已知AL1齿轮齿顶高ha11.64962齿轮齿顶高ha21.6496AL:变化后中心距；L:双边侧隙AL=15.45001齿轮齿根高hf10.93712齿轮齿根高hf20.9371L=0.04831齿轮全齿高h12.58672齿轮全齿高h22.5867端面模数mt1.25001齿轮分度圆直径d111.25002齿轮分度圆直径d217.5000端面压力角（°）αt20.0000°1齿轮基圆直径db110.57152齿轮基圆直径db216.4446啮合角（°）αwt28.6998°1齿轮节圆直径d1′12.05222齿轮节圆直径d2′18.7478端面重合度εα1.0759外啮合有效1齿轮齿顶圆直径da114.54922齿轮齿顶圆直径da220.7993轴向重合度εβ0.0000外啮合有效1齿轮齿根圆直径df19.37582齿轮齿根圆直径df215.6258总重合度ε121.07591齿轮齿顶厚度(端面)sat10.60762齿轮齿顶厚度(端面)sat20.7830滑动率1η12.98261齿轮齿厚测量b1/(Wn1*sinβ)用公法线尺可测齿厚3267658592齿轮齿厚测量b2/(Wn2*sinβ)用公法线尺可测齿厚4041098807滑动率2η22.2431中心距变动系数yn0.82传动比1.5556第0级齿高变动系数Δyn0.18061齿轮齿宽系数(b/A)ψa1.30内外啮合判定渐开线齿轮外啮合传动计算2.00z1min17.101齿轮齿宽系数(b/d1)ψd1.7777777778z2min17.10z1内外齿轮属性值q11.002齿轮齿宽系数(b/A)ψa1.2987012987总变位系数xnΣ1.00xnΣ=xn2+/-xn1z2内外齿轮属性值q21.002齿轮齿宽系数(b/d1)ψd1.1428571429β（弧度）01齿轮齿数奇偶性t11sinβ02齿轮齿数奇偶性t20分度圆住螺旋角（°）β0.0000°直齿填"0"cosβ1渐开线 函 关于工期滞后的函关于工程严重滞后的函关于工程进度滞后的回复函关于征求同志党风廉政意见的函关于征求廉洁自律情况的复函 数端面法向比z1′9.00tgβ0z2′14.00αn（弧度）0.3490658504重合度系数Zε0.9872695934sinαn0.3420201433（x1+x2）/(z1+z2)0.0435cosαn0.9396926208端面齿顶高系数hat*1.00tgαn0.3639702343端面间隙系数ct*0.25invαn0.0149043839αt=arctg(tgαn/cosβ)αt（弧度）0.3490658504sinαt0.3420201433当量齿数1zv19.00cosαt0.9396926208当量齿数2zv214.00tgαt0.3639702343invαt0.0149043839啮合角αwt0.5009053708sinαwt0.4802198796双边侧隙L0.048315.4500cosαwt0.8771481444拉开后中心距AL15.45000.0483tgαwt0.5474786473invαwt0.0465732766invαL‘0.0483603665已知AL求LαL‘(弧度)0.5067850146zv1的arccos(zv*cosαn/(zv+2*xn))0.562972127弧度已知侧隙L求拉开中心距ALαL‘αL‘（弧度）cos(αL‘)0.8743094773zv1的arccos(zv*cosαn/(zv+2*xn))32.25593°角度0.5254567145inv（αL‘）0.0483603665zv2的arccos(zv*cosαn/(zv+2*xn))0.5011925623弧度0.5036783753zv2的arccos(zv*cosαn/(zv+2*xn))28.71622°角度0.5074248095Q1=(A0/A)*cosαt0.87714814440.5066578621αwt=arcCOSQ1（弧度）0.50090537080.50681047061顶圆压力角αat1（弧度）0.75742851260.5067799257sinαat10.68705526280.5067860322cosαat10.72660516510.5067848111tgαat10.94556892210.5067850553invαat10.18814040950.50678500652顶圆压力角αat2（弧度）0.65895047010.5067850162sinαat20.61228739390.5067850143cosαat20.79063528080.5067850147tgαat20.77442457840.5067850146invαat20.1154741083α‘（角度）29.0366425°cosα′0.8771481444invαMt20.0503389571αmt1（弧度）αmt2（弧度）αMt20.513109895829.3990°0.59446017480.5325272337SINαMt20.49088902630.56177456680.509780306COSαMt20.87122210940.56929762710.5138166328tgαMt20.56344877040.56727228160.5129656736invαMt10.070024020.56779875760.5131399342αMt10.567687290532.5261°0.5676605970.5131040276SINαMt10.5376835350.56769676460.5131114168COSαMt10.84314673470.56768729050.5131098958tgαMt10.6377105109cos(л/2z1)0.984807753cos(л/2z2)0.99371220991顶圆压力角αat1（角度）43.39746°2顶圆压力角αat2（角度）37.75508°invαt′0.0465732766invαt-31.1402937807invαn0.0149043839k1跨齿数2.1127963431k2跨齿数2.7334836645齿高变动系数计算值Δynarctg（tgαn/cosβ）