齿轮变位系数计算公式

大轮齿数z2=132小轮齿数z1=10模数m=2.11667压力角α=120.20943951弧长齿顶高系数ha*=1.2228顶隙系数c*=2.01最少齿数zmin=56.57539635齿数比u=13.2分度圆直径d=279.40044齿距p=基节pb=标准中心距a=名义中心距a'=无侧隙啮合时139.70022啮合角α’=无侧隙啮合时120.20943951齿厚s=齿顶高ha=齿根高hf=齿顶圆直径da=2.4456281.84604齿根圆直径df=-7.9044271.49604基圆直径db=0273.29487基圆齿厚sb=#DIV/0!4.104075396齿顶圆压力角αa=9014.14974543顶圆齿厚sa=0.345310613.347077084≧（0.25-0.4）*m≧（0.25-0.4）*m端面重合度εa=大齿Z2=18渐开线函数→inv20=小齿Z1=6模数m=0.8压力角α=200.34906585弧齿顶高系数ha*=1顶隙系数c*=0.25最少齿数Zmin=17.09726434齿数比u=3小齿大齿变位系数X=0.30小齿大齿6.649714922139.700223.3248574611.22283.95222.59813E+15外啮合标准直齿圆柱齿轮传动6.504402697外啮合变位直齿圆柱齿轮传动分度圆直径d=4.814.4标准中心距a=总变位系数x∑=0.35根据传动要求和齿数和由图2-1a选得啮合角α’=18.360.320442451由表2-11查得名义中心距a'=9.504884418中心距的变动系数y=齿顶高变动系数Δy=齿顶高ha=0.6648844180.424884418齿根高hf=0.761齿顶圆直径da=6.12976883615.24976884齿根圆直径df=3.2812.4基圆直径db=4.5105245813.53157374齿距p=基圆齿距pb=齿厚s=1.4313427741.256637061基圆齿厚sb=1.4122471011.382527149齿顶圆压力角αa=42.6218196627.46039973弧顶圆齿厚sa=端面重合度εa=大齿Z2=10渐开线函数→小齿Z1=10模数m=1压力角α=200.34906585弧齿顶高系数ha*=1顶隙系数c*=0.25齿数比u=1小齿轮的变位系数x1=0大齿轮的变位系数x2=0hao*=1.25分度圆直径d=1010标准中心距a=总变位系数x∑=啮合角α’=19.320.337197611由表2-11查得内啮合变位直齿圆柱齿轮的传动小齿大齿009.6-0.1188944780.4688944782.5132741232.3617051471.099883108名义中心距a'=齿数zo=60变位系数xo=0.582顶圆直径dao=62.5切齿啮合角α0'=16.5328.58切齿标准中心距ao=35-25切齿名义中心距ao'=34.45290091-26.752052696.4058018287.50000008.995894626齿顶圆直径da=8.4958946268基圆直径db=9.3969262089.396926208齿距p=基圆齿距pb=齿厚s=1.5707963271.570796327基圆齿厚sb=1.6161175051.336013929齿顶圆压力角αa=#NUM!#NUM!顶圆齿厚sa=1.2997328231.217405061端面重合度εa=大轮齿数z2=9渐开线函数→小轮齿数z1=9法向模数mn=1.5法向压力角αn=300.523598776弧长螺旋角β=250.436332313弧长端面模数mt=1.655066878端面压力角αt=32.498584870.6370355390.567207308法向齿顶高系数han*=1法向顶隙系数cn*=0.25端面齿顶高系数hat=0.906307787端面顶隙系数ct*=0.226576947外啮合标准斜齿（人字齿）圆柱齿轮传动≧校验干涉插齿刀的参数齿根圆直径df=3.1415926542.952131434#NUM!应满足渐开线干涉1≧#NUM!0小齿轮过渡曲线干涉最少齿数zmin=6.279229183齿数比u=1当量齿数zn=12.0896958512.08969585法向变位系数xn=00根据传动要求和齿数和由图2-1ab选得≧-0.433296944-0.433296944端面变位系数xt=00分度圆直径d=14.8956019114.89560191标准中心距a=法向总变位系数xn∑=0.4根据传动要求和齿数和由图2-1a选得啮合角α't=23.060.0405640120.402472926名义中心距a'=中心距变动系数yn=齿顶高变动系数Δyn=齿顶高ha=-0.341556951-0.341556951齿根高hf=1.8751.875齿顶圆直径da=14.21248814.212488齿根圆直径df=11.1456019111.14560191基圆直径db=12.563020912.5630209法向齿距pn=端面齿距pt=5.1995459475.199545947法向基圆齿距pbn=端面基圆齿距pbt=基圆螺旋角βb=21.469023520.393286078步骤尺寸法向齿厚sn=2.356194491.570796327端面齿厚st=2.5997729731.733181982端面基圆齿厚sbt=2.4742420551.743355127法向基圆齿厚sbn=2.30256821.622393438端面齿顶圆压力角αat=27.8783464127.87834641端面重合度εa=标准齿轮公法线长度Wk=9.70116265跨测齿数k=5.055555556公法线长度Wkn=跨测齿厚k=斜齿外齿轮4.712388984.081048574.7840771430.295868875公法线长度的计算直齿外齿轮1.227704634小齿大齿14.8956019113.65404495-0.827704634公法线长度Wk=9.700915跨测齿数k=齿顶高hae1=齿根高hfe1=全齿高he1=齿顶圆直径dae1=分度圆直径de1=齿根角Øf1=2.585468570.0451555920.045124938齿顶角Øa1=2.58546857顶锥角δa1=19.82692826根锥角δf1=14.65599112Ak1=17.679498060.95506413718.125齿顶高hae2=0.621953032齿根高hfe2=1.738046968全齿高he2=2.36齿顶圆直径dae2=36.6186928157.29578049分度圆直径de2=36.25齿根角Øf2=5.2327362750.0915832460.091328475齿顶角Øa2=2.58546857顶锥角δa2=75.34400888根锥角δf2=67.52580403Ak2=5.0309954550.296399240.955064129余玄正玄直齿外齿轮锥齿大齿轮的计算（弧齿）1.5030469680.8569530322.36直齿锥齿轮的计算表格（∑=900）(等顶系)14.1210125111.25此角不准的画下来定弧齿锥齿轮的计算表格锥齿小齿轮的计算（弧齿）分度圆直径de1=8.8大端齿顶高hae1=0.236125大端齿根高hfe1=0.689075齿顶角Øa1=2.485113845齿根角Øf1=7.218334955顶锥角δa1=56.45774138根锥角δf1=46.75429258齿顶圆直径dae1=9.077764084分度圆直径de2=6.4大端齿顶高hae2=0.563875大端齿根高hfe2=0.361325齿顶角Øa2=5.917139174齿根角Øf2=3.799596647顶锥角δa2=41.94451164根锥角δf2=32.22777582齿顶圆直径dae2=7.31205213小齿轮大齿轮冠顶距Ak=3.0090371924.068344691小齿的计算公式大齿轮的计算公式总直齿锥齿轮的计算表格（∑=900）(等顶系)渐开线函数→inv12=0.003117051invαa1=0.019invαa2=0.01弧长αa1αa21.5707963270.2469596460.014904要查出，我没查，用时一定要查外啮合变位直齿圆柱齿轮传动0.320442451αa1αa20.7438910860.479274389inv20=0.014904查过对的invαa1=0.019invαa2=0.01内啮合变位直齿圆柱齿轮的传动要查出，我没查，用时一定要查给定x∑求a'给定x∑求a'α01'α02'0.2885029250.4988151插齿时滚齿时αa1αa2#NUM!#NUM!inv20=0.014904invαt=0.0224135用时要查弧长给定x∑求a'根据传动要求和齿数和由图2-1ab选得弧长0.374705148弧长αat1αat20.4865689350.486568935x=0.55m=0.7变位齿轮w*=3.21729.964255z=415.927126553k=5α=200.34906585公法线长度的计算渐开线函数→inv20=0.014904cos220=0.8830222229.964255齿数z2=29齿数z1=9径向变位系数x1=0.352437574顶隙系数c*=0.188齿顶高系数ha*=0.8557.29578049模数met=1.25齿形角a=20齿数比的平方U2=10.3827160557.29578049分锥角δ1=17.241459690.3009202340.296399215锥距Re=18.977783060.2963992150.445501941径向变位系数x2=-0.352437574分锥角δ2=72.7585403157.29578049L=N*∏/18057.29578049注：是弧度锥齿大齿轮的计算（弧齿）先画大齿在画小齿1.5030469680.8569530322.36直齿锥齿轮的计算表格（∑=900）(等顶系)14.1210125111.25弧齿锥齿轮的计算表格锥齿小齿轮的计算（弧齿）齿数z2=16齿数z1=22径向变位系数x1=-0.4096875顶隙系数c*=0.313齿顶高系数ha*=1模数met=0.4齿形角a=20齿数比的平方U2=0.5289256257.29578049分锥角δ1=53.972627540.94200004锥距Re=5.4405882030.808736084径向变位系数x2=0.4096875分锥角δ2=36.027372460.6288弧小齿的计算公式大齿轮的计算公式总直齿锥齿轮的计算表格（∑=900）(等顶系)注：是弧度