齿轮变位系数计算公式

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余玄正玄分度圆直径de1=8.8大端齿顶高hae1=0.23612514.1210125111.25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）1.5030469680.8569530322.36锥齿大齿轮的计算（弧齿）小齿的计算公式直齿锥齿轮的计算表格（∑=900）(等顶系)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小齿大齿大齿轮的计算公式总外啮合变位直齿圆柱齿轮传动变位系数X=0.30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∑=内啮合变位直齿圆柱齿轮的传动9.6-0.1188944780.4688944782.5132741232.3617051471.099883108小齿大齿00啮合角α’=19.320.337197611由表2-11查得名义中心距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=77小轮齿数z1=18模数m=0.635压力角α=200.34906585弧长齿顶高系数ha*=1顶隙系数c*=0.25最少齿数zmin=17.09726434齿数比u=4.277777778分度圆直径d=11.4348.895齿距p=校验干涉0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!小齿轮过渡曲线干涉≧外啮合标准直齿圆柱齿轮传动小齿大齿1.994911335基节pb=标准中心距a=名义中心距a'=无侧隙啮合时30.1625啮合角α’=无侧隙啮合时200.34906585齿厚s=齿顶高ha=齿根高hf=齿顶圆直径da=12.750.165齿根圆直径df=9.842547.3075基圆直径db=10.7406866645.94627069基圆齿厚sb=5.8552376951.622084949齿顶圆压力角αa=32.250479223.66571717顶圆齿厚sa=1.0562648751.028267607≧（0.25-0.4）*m≧（0.25-0.4）*m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=23.060.0405640120.4024729261.87460346130.16250.9974556680.6350.793755.355360871外啮合标准斜齿（人字齿）圆柱齿轮传动小齿大齿14.89560191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=公法线长度Wk=9.700915跨测齿数k=1.22770463413.65404495-0.827704634斜齿外齿轮直齿外齿轮4.712388984.081048574.7840771430.295868875公法线长度的计算直齿外齿轮齿数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齿数z2=16齿数z1=2214.1210125111.25弧齿锥齿轮的计算表格锥齿小齿轮的计算（弧齿）1.5030469680.8569530322.36注：是弧度锥齿大齿轮的计算（弧齿）先画大齿在画小齿小齿的计算公式直齿锥齿轮的计算表格（∑=900）(等顶系)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0.014904大齿轮的计算公式总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给定x∑求a'要查出，我没查，用时一定要查给定x∑求a'α01'α02'0.2885029250.4988151插齿时滚齿时αa1αa2#NUM!#NUM!渐开线函数→inv20=0.014904invαa1=0.019invαa2=0.01给定x∑求a'要查出，我没查，用时一定要查弧长αa1αa20.5628770470.413044684inv20=0.014904invαt=0.0224135用时要查弧长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渐开线函数→inv20=0.014904cos220=0.8830222229.964255公法线长度的计算注：是弧度