齿轮变位系数计算公式

1、外啮合标准直齿圆柱齿轮传动大轮齿数z2=132小轮齿数z1=10模数m=2.11667压力角=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小齿大齿分度圆直径d=279.40044齿距p=6.649714922基节pb=6.504402697标准中心距a=139.70022名义中心距a=无侧隙啮合时139.70022啮合角=无侧隙啮合时120.20943951齿厚s=3.324857461齿顶高ha=1.2228齿根高hf=3.9522齿顶圆直径da=2.4456281.84604齿根圆直径df=-7

2、.9044271.49604基圆直径db=0273.29487基圆齿厚sb=#DIV/0!4.104075396齿顶圆压力角a=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a=2.59813E+15外啮合变位直齿圆柱齿轮传动大齿Z2=18渐开线函数 inv20=小齿Z1=6模数m=0.8压力角=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分度圆直径d=4.814.4标准中心距a=9.6总变位系数

3、x=0.35根据传动要求和齿数和由图2-1a选得啮合角=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=-0.118894478齿顶高变动系数y=0.468894478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=2.513274123基圆齿距pb=2.361705147齿厚s=1.4313427741.256637061基圆齿厚sb=1.4122471

4、011.382527149齿顶圆压力角a=42.6218196627.46039973弧顶圆齿厚sa=端面重合度a=1.099883108内啮合变位直齿圆柱齿轮的传动大齿Z2=10渐开线函数小齿Z1=10模数m=1压力角=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小齿大齿分度圆直径d=1010标准中心距a=0总变位系数x=0啮合角=19.320.337197611由表2-11查得名义中心距a=0插齿刀的参数齿数zo=60变位系数xo=0.582顶圆直径dao=62.5切齿啮合角0=16.

5、5328.58切齿标准中心距ao=35-25切齿名义中心距ao=34.45290091-26.75205269齿根圆直径df=6.4058018287.50000008.995894626齿顶圆直径da=8.4958946268基圆直径db=9.3969262089.396926208齿距p=3.141592654基圆齿距pb=2.952131434齿厚s=1.5707963271.570796327基圆齿厚sb=1.6161175051.336013929齿顶圆压力角a=#NUM!#NUM!顶圆齿厚sa=1.2997328231.217405061端面重合度a=#NUM!校验干涉应满足渐开线

6、干涉1#NUM!小齿轮过渡曲线干涉外啮合标准斜齿（人字齿）圆柱齿轮传动大轮齿数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n=300.523598776 弧长螺旋角=250.436332313 弧长端面模数mt=1.655066878端面压力角t=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小齿大齿当量齿数zn=12.0896958512.08969585法向变位

7、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=14.89560191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t=23.060.0405640120.402472926名义中心距a=13.65404495中心距变动系数yn=-0.827704634齿顶高变动系数yn=1.227704634齿顶高ha=-0.341556951-0.341556951齿根高hf=1.8751.875齿顶圆直径da=14.21248814.21

8、2488齿根圆直径df=11.1456019111.14560191基圆直径db=12.563020912.5630209法向齿距pn=4.71238898端面齿距pt=5.1995459475.199545947法向基圆齿距pbn=4.08104857端面基圆齿距pbt=4.784077143基圆螺旋角b=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

9、端面齿顶圆压力角at=27.8783464127.87834641端面重合度a=0.295868875公法线长度的计算标准齿轮直齿外齿轮公法线长度Wk=9.70116265跨测齿数k=5.055555556斜齿外齿轮公法线长度Wkn=跨测齿厚k=直齿外齿轮公法线长度Wk=9.700915跨测齿数k=弧齿锥齿轮的计算表格 锥齿小齿轮的计算（弧齿）齿顶高hae1=1.503046968齿根高hfe1=0.856953032全齿高he1=2.36齿顶圆直径dae1=14.12101251分度圆直径de1=11.25齿根角f1=2.585468570.0451555920.045124938齿顶角a1

10、=2.58546857顶锥角a1=19.82692826此角不准的画下来定根锥角f1=14.65599112Ak1=17.679498060.95506413718.125锥齿大齿轮的计算（弧齿）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f2=5.2327362750.0915832460.091328475齿顶角a2=2.58546857顶锥角a2=75.34400888根锥角f2=67.52580403Ak2=5.0309954550.2

11、96399240.955064129余玄正玄直齿锥齿轮的计算表格（=900）(等顶系)小齿的计算公式分度圆直径de1=8.8大端齿顶高hae1=0.236125大端齿根高hfe1=0.689075齿顶角a1=2.485113845齿根角f1=7.218334955顶锥角a1=56.45774138根锥角f1=46.75429258齿顶圆直径dae1=9.077764084大齿轮的计算公式分度圆直径de2=6.4大端齿顶高hae2=0.563875大端齿根高hfe2=0.361325齿顶角a2=5.917139174齿根角f2=3.799596647顶锥角a2=41.94451164根锥角f2=

12、32.22777582齿顶圆直径dae2=7.31205213总小齿轮大齿轮冠顶距Ak=3.0090371924.068344691直齿锥齿轮的计算表格（=900）(等顶系)渐开线函数 inv12=0.003117051inva1=0.019要查出，我没查，用时一定要查inva2=0.01弧长a1a21.5707963270.2469596460.014904外啮合变位直齿圆柱齿轮传动给定x求a0.320442451a1a20.7438910860.479274389inv20=0.014904 查过对的inva1=0.019要查出，我没查，用时一定要查inva2=0.01给定x求a内啮合变位

13、直齿圆柱齿轮的传动01020.2885029250.4988151插齿时滚齿时a1a2#NUM!#NUM!inv20=0.014904invt=0.0224135 用时要查弧长给定x求a弧长0.374705148 弧长at1at20.4865689350.486568935x=0.55m=0.7变位齿轮w*=3.21729.964255z=415.927126553k=5=200.34906585根据传动要求和齿数和由图2-1ab选得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=0.352

14、437574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1=17.241459690.300920234注：是弧度0.296399215锥距Re=18.977783060.2963992150.445501941径向变位系数x2=-0.352437574分锥角2=72.75854031先画大齿在画小齿57.29578049L=N*/18057.29578049弧齿锥齿轮的计算表格 锥齿小齿轮的计算（弧齿）1.5030469680.8569530322.3614.1210125111.25锥齿大齿轮的计算（弧齿）直齿锥齿轮的计算表格（=900）(等顶系)齿数z2=16齿数z1=2