行星齿轮计算iso9085

渐开线园柱齿轮传动iso9085,,NGW,图号：,2017/11/2316:41,,,,,,,,,,,

NGW行星外啮合几何参数,,,,,,,,NGW行星内啮合几何参数,,,,,,,

1,精度等级,6,6,,分传动比u1=zc(zb+za)/zb/za,,1.386096257,1,精度等级,6,6,,分传动比u2,3.055555556,

2,模数Mn,10,分度圆直径d1,170.000,几何直径1,280,560,2,模数Mn,10,分度圆直径d1,180.000,几何直径1,560,1000

3,齿数Za,17,分度圆直径d2,180.000,几何直径2,560,1000,3,齿数Zc,18,分度圆直径d2,-550.000,几何直径2,1600,2500

4,Zc,18,齿顶圆直径da1,196.348,几何模数,10,16,4,Zb,55,齿顶圆直径da1,215.262,几何模数,10,16

5,齿形角an,20,齿顶圆直径da2,210.000,几何齿宽,250,400,5,齿形角an,20,齿顶圆直径da2,-543.652,几何齿宽,250,400

6,齿顶高系数ha1*,1,齿根圆直径df1,152.000,齿距极限偏差±fpt,14.4004306,15.6658248,6,齿顶高系数ha1*,1.0805,齿根圆直径df1,165.652,齿距极限偏差±fpt,15.6658248,18.61288378

7,齿顶高系数ha2*,1,齿根圆直径df2,165.652,基节极限偏差±fpb,13.53197837,14.72105997,7,齿顶高系数ha2*,1,齿根圆直径df2,-591.652,基节极限偏差±fpb,14.72105997,17.49038954

8,螺旋角β,0,公法线长度Wn1,79.604,齿距累积总偏差Fp,50.44327894,63.62446859,8,螺旋角β,0,公法线长度Wn1,80.994,齿距累积总偏差Fp,63.62446859,94.32299959

9,中心距A,185,公法线长度Wn2,80.994,齿廓总偏差Fa,23.27628826,25.59617764,9,中心距A,185,公法线长度Wn2,233.782,齿廓总偏差Fa,25.59617764,30.9991191

10,变位系数X1,0.5000,全齿高h1,22.1740134,螺旋线总偏差Fβ,24.59753584,25.65203102,10,变位系数X1,0.6826,全齿高h1,24.805,螺旋线总偏差Fβ,25.65203102,28.1079135

11,X2,0.6826,全齿高h2,22.1740134,螺旋倾斜极限偏差±fHβ,17.52946592,18.26761254,11,X2,0.6826,全齿高h2,24,螺旋倾斜极限偏差±fHβ,18.26761254,19.98673028

12,顶隙系数系数C*,0.4,跨齿数K1,3,齿廓形状偏差ffα,18.06554311,19.85818491,12,顶隙系数系数C*,0.4,跨齿数K1,3,齿廓形状偏差ffα,19.85818491,24.03318512

13,总变位系数Xn,1.1826,跨齿数K2,3,齿条啮合齿廓始点De1&2,162.3418106,174.5256385,13,总变位系数Xn,0.0000,跨齿数K2,8,齿条啮合齿廓始点De1&2,174.5256385,543.9316673

14,取变位系数Xn1,0.5000,端面重合度εα,1.1707,齿轮啮合齿廓始点DAE1&2,165.9755861,177.9661272,14,取变位系数Xn1,0.6826,端面重合度εα,1.5420,齿轮啮合齿廓始点DAE1&2,174.3061965,578.407118

15,齿宽B,330,纵向重合度εβ,0.0000,滑动率η,1.425199326,1.372748458,15,齿宽B,330,纵向重合度εβ,0.0000,滑动率η,-0.318777998,2.491273001

,强度计算参数,,总速比U(AX-B),3.235294118,齿顶厚度Sa,6.785049831,5.947560161,,强度计算参数,,总速比U(AX-B),3.235294118,齿顶厚度Sa,2.039436794,8.435110649

1,输入功率P(Kw),3500,输入扭矩T1（Nm）,229431.7917,行星轮数量Cs,4,,1,输入功率P(Kw),3500,输入扭矩T1（Nm）,79503.6369,啮合角awt(≈22),20.0000,

2,输入转速n1(转/分）,145.686,输出转速n2(转/分）,105.1052546,行星轮齿数减少值(0~2),1,,2,输入转速n1(转/分）,105.1052546,输出转速n2(转/分）,34.39808333,,,

3,使用系数KA,2.5,分传动比u1,1.386096257,装配条件n为整数,18,,3,使用系数KA,2.5,分传动比u2,3.055555556,,,

4,设计寿命N（年）,15,输出扭矩T2(Nm),318014.5476,太阳轮切向力Ftca(N),Ftca=1000T1/Cs/ra,674799.3872,4,设计寿命N（年）,15,输出扭矩T2(Nm),971711.1176,,,

5,工作制h（小时）,24,分圆圆周力Ft(N),2699197.549,径向力Frca(N),Frca=Ftca*tanαn/cosβ,245606.8865,5,工作制h（小时）,24,分圆圆周力Ft(N),674799.3872,,,

6,工作制t（天）,360,径向力Fr,982427.563,单行星轮作用在轴上的力Rxa,,245606.8865,6,工作制t（天）,360,径向力Fr,245606.8908,,,

7,啮合刚度cγ,14.55977655,轴向力Fa,0,单行星轮作用在轴上的力RYa,,245606.8865,7,啮合刚度cγ,19.56999101,轴向力Fa,0,,,

8,支点距离l,1,刀具齿顶高hao,14,行星轮切向力Ftac(N),,674799.3872,8,支点距离l,1,刀具齿顶高hao,14,,,

9,齿宽重点位置s,0,刀具齿顶圆角半径ρao,4,径向力Frac(N),,245606.8865,9,齿宽重点位置s,0,刀具齿顶圆角半径ρao,4,,,

10,小轮材料疲劳极限σHlim,1500,动载系数KV,0.997,单行星轮作用在轴上的力Rxc,,1349598.774,10,小轮材料疲劳极限σHlim,1500,动载系数KV,0.917,,,

11,大轮材料疲劳极限σHlim,1500,齿向载荷系数KHβ(不大于2),1.034,单行星轮作用在轴上的力Ryc,,0,11,大轮材料疲劳极限σHlim,850,齿向载荷系数KHβ(不大于2),1.035,,,

12,小轮材料弯曲极限σFlim,500,齿向载荷系数KFβ(不大于2),1.032,行星架切向力Ftx(N),,1349598.774,12,小轮材料弯曲极限σFlim,500,齿向载荷系数KFβ(不大于2),1.032,,,

13,大轮材料弯曲极限σFlim,350,齿间载荷系数KFα,0.908,行星架径向力Fyx(N),,0,13,大轮材料弯曲极限σFlim,350,齿间载荷系数KFα,0.922,,,

14,齿轮内腔直径di1,0,接触应力σH1,3321.153,单行星轮作用在轴上的力RxX,,1349598.774,14,齿轮内腔直径di1,0,接触应力σH1,3484.869,,,

15,齿轮内腔直径di2,0,接触应力σH2,3255.793,单行星轮作用在轴上的力RyX,,0,15,齿轮内腔直径di2,0,接触应力σH2,2460.377,,,

16,单对齿刚度C',12.907,齿形系数YF1,1.825,行星架转矩TX,TX=-TA*Iaxb,-971711.1176,16,单对齿刚度C',13.914,齿形系数YF1,1.244,,,

17,系数K',0,齿形系数YF2,1.642,内齿轮B切向力FtCB(N),,674799.3872,17,系数K',-0.6,齿形系数YF2,1.479,,,

18,寿命N1,3.4615E+09,应力修正系数YS1,1.839,径向力FrCB(N),,245606.8865,18,寿命N1,8.1730E+08,应力修正系数YS1,2.200,,,

19,寿命N2,8.1730E+08,应力修正系数YS2,1.963,单行星轮作用在轴上的力RxB,,674799.3872,19,寿命N2,1.0699E+09,应力修正系数YS2,2.727,,,

20,寿命系数ZNT1,0.900875384,齿根应力σF1,1602.796,单行星轮作用在轴上的力RyB,,245606.8865,20,寿命系数ZNT1,0.919265773,齿根应力σF1,1220.127,,,

21,寿命系数ZNT2,0.919265773,齿根应力σF2,1538.809,啮合角awt(≈22),27.2649,,21,寿命系数ZNT2,0.91580606,齿根应力σF2,1797.158,,,

22,润滑系数ZLZVZR,1,小齿轮啮合系数ZB,1.297443615,,,,22,润滑系数ZLZVZR,1,小齿轮啮合系数ZB,1.416396205,,,

23,齿面工作硬化系数ZW1,1,大齿轮啮合系数ZD,1.271910234,,,,23,齿面工作硬化系数ZW1,1,大齿轮啮合系数ZD,1,,,

24,齿面工作硬化系数ZW2,1,接强安全系数SH1,0.407,,,,24,齿面工作硬化系数ZW2,1,接强安全系数SH1,0.396,,,

25,材料滑移层厚度ρ’,0.003,接强安全系数SH2,0.424,,,,25,材料滑移层厚度ρ’,0.003,接强安全系数SH2,0.316,,,

26,相对齿根表面YRrelT,0.950,弯强安全系数SF1,0.516,,,,26,相对齿根表面YRrelT,0.950,弯强安全系数SF1,0.695,,,

27,弯曲强度尺寸系数Yx,0.970,弯强安全系数SF2,0.386,,,,27,弯曲强度尺寸系数Yx,0.970,弯强安全系数SF2,0.337,,,

28,寿命系数YNT1,0.899004034,,,,,,28,寿命系数YNT1,0.918813955,,,,,

29,寿命系数YNT2,0.918813955,,,,,,29,寿命系数YNT2,0.915084794,,,,,

,齿数Z1,,,17,,,,,齿数Z1,,,18,,,

,齿数Z2,,,18,,,,,齿数Z2,,,55,,,

,法向模数mn,,,10,,,,,法向模数mn,,,10,,,

,中心距a,,,185,,,,,中心距a,,,185,,,

,齿面宽b,,,330,,,,,齿面宽b,,,330,,,

,分度圆柱上的螺旋角β,,0,0,,,,,分度圆柱上的螺旋角β,,0,0,,,

,齿高系数ha1*,,,1,,,,,齿高系数ha1*,,,1.0805,,,

,齿高系数ha2*,,,1,,,,,齿高系数ha2*,,,1,,,

,法面压力角αn,,0.34906585,20,,,,,法面压力角αn,,0.34906585,20,,,

,齿顶系数cn*,,,0.4,,,,,齿顶系数cn*,,,0.4,,,

1,分度圆直径d1,d1=Mn*Z1/COSΒ,170,170.0000,,,,1,分度圆直径d1,d1=Mn*Z1/COSΒ,180,180.0000,,,

,分度圆直径d2,d2=Mn*Z2/COSΒ,180,180.0000,,,,,分度圆直径d2,d2=-Mn*Z2/COSΒ,-550,-550.0000,,,

2,未变位时中心距Ad,Ad=Mn*(Z1+Z2)/2COSΒ,175,175.0000,,,,2,未变位时中心距Ad,Ad=Mn*(Z2+Z1)/2COSΒ,185,185.0000,,,

3,中心距变动系数Yn,Yn=(A-Ad)/Mn,1,1.0000,,,,3,中心距变动系数Yn,Yn=(A-Ad)/Mn,0,0.0000,,,

4,啮合角awt,tgat=tgan/COSβ,0.363970234,0.3640,,,,4,啮合角awt,tgat=tgan/COSβ,0.363970234,0.3640,,,

,,at=arctgat,0.34906585,20.0000,,,,,,at=arctgat,0.34906585,20.0000,,,

,,COSαwt=Ad/A*COSat,0.888898425,0.8889,,,,,,COSαwt=Ad/A*COSat,0.939692621,0.9397,,,

,,awt=arccosawt,0.475861433,27.2649,,,,,,awt=arccosawt,0.34906585,20.0000,,,

,齿顶压力角αat1,αat=arccos(db/da),0.62048792,35.55133908,,,,,齿顶压力角αat1,αat=arccos(db/da),0.666869258,38.20879398,,,

,齿顶压力角αat2,,0.634360586,36.34618427,,,,,齿顶压力角αat2,,0.315423551,18.07243824,,,

5,总变位系数Xn,invawt=tgawt-awt,0.039500425,0.0395,,,,5,总变位系数Xn,invawt=tgawt-awt,0.014904384,0.0149,,,

,,invat=tgat-at,0.014904384,0.0149,,,,,,invat=tgat-at,0.014904384,0.0149,,,

,,Xn=(Z1+Z2)*(invawt-invat)/(2*tgan),1.18259866,1.1826,,,,,,Xn=(Z2-Z1)*(invawt-invat)/(2*tgan),0,0.0000,,,

6,变位系数分配Xn1Xn2,Xn1取值,0.5,0.5000,,,,6,变位系数分配Xn1Xn2,Xn1取值,0.68259866,0.6826,,,

,,Xn2=Xn-Xn1,0.683,0.6826,,,,,,Xn2=Xn+Xn1,0.6826,0.6826,,,

7,齿顶高变动系数ΔYn,ΔYn＝Xn-Yn,0.183,0.1826,,,,7,齿顶高变动系数ΔYn,ΔYn＝Xn-Yn,0.0000,0.0000,,,

8,齿顶高ha1ha2,ha1=(ha1*+Xn1-ΔYn)*Mn,13.1740134,13.1740,,,,,节圆直径dw1,dw1=2*A/(u-1),180.0000,180.0000,,,

,,ha2=(ha2*+Xn2-ΔYn)*Mn,15,15.0000,,,,,节圆直径dw2,dw2=-u*dw1,-550.000,-550.0000,,,

9,齿根高hf1hf2,hf1=(ha*+cn*-Xn1)*Mn,9,9.0000,,,,8,齿顶高ha1ha2,ha1=(ha1*+Xn1+ΔYn)*Mn,17.6309866,17.6310,,,

,,hf2=(ha*+cn*-Xn2)*Mn,7.174013395,7.1740,,,,,,ha2=(ha2*-Xn2+ΔYn)*Mn,3.174013395,3.1740,,,

10,齿高h1h2,h1=ha1+hf1,22.174,22.1740,,,,9,齿根高hf1hf2,hf1=(ha*+cn*-Xn1)*Mn,7.174013395,7.1740,,,

,,h2=ha2+hf2,22.174,22.1740,,,,,,hf2=(ha*+cn*+Xn2)*Mn,20.8259866,20.8260,,,

11,齿顶圆直径da1da2,da1=d1+2*ha1,196.3480268,196.3480,,,,10,齿高h1h2,h1=ha1+hf1,24.805,24.8050,,,

,,da2=d2+2*ha2,210,210.0000,,,,,,h2=ha2+hf2,24.000,24.0000,,,

12,齿根圆直径df1df2,df1=d1-2*hf1,152,152.0000,,,,11,齿顶圆直径da1da2,da1=d1+2*ha1,215.2619732,215.2620,,,

,,df2=d2-2*hf2,165.6519732,165.6520,,,,,,da2=-d2-2*ha2,-543.6519732,-543.6520,,,

,基圆直径db1db2,db1=d1*cosαt,159.7477455,159.7477,,,,12,齿根圆直径df1df2,df1=d1-2*hf1,165.6519732,165.6520,,,

,,db2=d2*cosαt,169.1446717,169.1447,,,,,,df2=d2+2*hf2,-591.6519732,-591.6520,,,

,端面模数mt,mt=mn/cosβ,10,10.0000,,,,,基圆直径db1db2,db1=d1*cosαt,169.1446717,169.1447,,,

,基圆螺旋角βb,sinβb=sinβ*cosαn,0,0.0000,,,,,,db2=d2*cosαt,-516.8309414,-516.8309,,,

,啮合线长度gα,gα=1/2*((da1^2-db1^2)^0.5+(da2^2-db2^2)^0.5)-a*sinαwt,34.56180391,34.5618,,,,,端面模数mt,mt=mn/cosβ,10,10.0000,,,

,端面基节pbt,pbt=mt*π*cosαt,29.52131431,29.5213,,,,,基圆螺旋角βb,sinβb=sinβ*cosαn,0,0.0000,,,

,端面重合度εα,εα=gα/pbt,1.170740691,1.1707,,,,,啮合线长度gα,gα=1/2*((da1^2-db1^2)^0.5-(da2^2-db2^2)^0.5)-a*sinαwt,45.5209858,45.5210,,,

,纵向重合度εβ,εβ=bH*sinβ/π/mn,0,0.0000,,,,,端面基节pbt,pbt=mt*π*cosαt,29.52131431,29.5213,,,

13,公法线计算Wn1Wn2,,,,,,,,端面重合度εα,εα=gα/pbt,1.541970162,1.5420,1.541970162,,

,当量齿数Zn1Zn2,Zn1=Z1/(cosβb)^2/cosβ,17,17.0000,,,,,纵向重合度εβ,εβ=bH*sinβ/π/mn,0,0.0000,,,

,,Zn2=Z2/(cosβb)^3/cosβ,18,18.0000,,,,13,公法线计算Wn1Wn2,,,,,,

,,z'=z*invαt/invαn,17,17.0000,,,,,当量齿数Zn1Zn2,Zn1=Z1/(cosβb)^2/cosβ,18,18.0000,,,

,,,18,18.0000,,,,,,Zn2=Z2/(cosβb)^3/cosβ,55,55.0000,,,

,跨测齿数K1K2,k=z'/π*(1/cosαn*((1+2*xn/z')^2-(cosαn)^2)^0.5-2*xn*tanαn/z'-invαn)+0.5,3.113318222,3.1133,,,,,,z'=z*invαt/invαn,18,18.0000,,,

,,,3.450503392,3.4505,,,,,,,55,55.0000,,,

,,,,0.0000,,,,,跨测齿数K1K2,k=z'/π*(1/cosαn*((1+2*xn/z')^2-(cosαn)^2)^0.5-2*xn*tanαn/z'-invαn)+0.5,3.450503392,3.4505,,,

,,,,0.0000,,,,,,,7.699828997,7.6998,,,

,,,,0.0000,,,,,,,,0.0000,,,

,K1,,3.113318222,3,,,,,,,,0.0000,,,

,K2,,3.450503392,3,,,,,,,,0.0000,,,

,W*1W*2,W*=COS(PI(K-0.5)+Z**INVan),7.618422744,7.6184,,,,,K1,,3.450503392,3,,,

,,,7.632428282,7.6324,,,,,K2,,7.699828997,8,,,

,Wn1,Wn1=(W*1+2*Xn1*SINan)*Mn,79.60442887,79.6044,,,,,W*1W*2,W*=COS(PI(K-0.5)+Z**INVan),7.632428282,7.6324,,,

,Wn2,Wn1=(W*2+2*Xn2*SINan)*Mn,80.99353266,80.9935,,,,,,,22.91129039,22.9113,,,

1,支点距离l,,,1.0000,,,,,Wn1,Wn1=(W*1+2*Xn1*SINan)*Mn,80.99353266,80.9935,,,

,齿宽中点位置s,,,0.0000,,,,,Wn2,Wn1=(W*2+2*Xn2*SINan)*Mn,233.7821537,233.7822,,,

,齿距极限偏差fpt1/fpt2(μm),,14.4004306,15.666,,,,1,支点距离l,,,1.0000,,,

,基节极限偏差fpb1/fpb2(μm),,13.53197837,14.721,,,,,齿宽中点位置s,,,0.0000,,,

,螺旋线倾斜极限偏差fHβ1/fHβ2,,17.52946592,18.268,,,,,齿距极限偏差fpt1/fpt2(μm),,15.6658248,18.613,,,

,螺旋线倾斜极限偏差fHβ5,,12.39520422,12.917,,,,,基节极限偏差fpb1/fpb2(μm),,14.72105997,17.490,,,

,螺旋线公差Fβ1、Fβ2,,24.59753584,25.652,,,,,螺旋线倾斜极限偏差fHβ1/fHβ2,,18.26761254,19.987,,,

,齿廓公差Fa1/Fa2,,23.27628826,25.596,,,,,螺旋线倾斜极限偏差fHβ5,,12.9171527,14.133,,,

,齿距累积公差Fp1、Fp2,,50.44327894,63.624,,,,,螺旋线公差Fβ1、Fβ2,,25.65203102,28.108,,,

,齿面粗糙度Ra101/Ra102,,0.8,0.800,,,,,齿廓公差Fa1/Fa2,,25.59617764,30.999,,,

,齿根表面粗糙度Rz101/Rz102,,6.3,6.300,,,,,齿距累积公差Fp1、Fp2,,63.62446859,94.323,,,

,齿廓形状偏差fta1/fta2,,18.06554311,19.858,,,,,齿面粗糙度Ra101/Ra102,,0.8,0.800,,,

,强度计算,,,,,,,,齿根表面粗糙度Rz101/Rz102,,6.3,6.300,,,

,名义切向载荷Ft(N),Ft=2000/d1*(9550*P/n1),674799.3872,674799.387,,,,,齿廓形状偏差fta1/fta2,,19.85818491,24.033,,,

,使用系数KA,,,2.5,,,,,强度计算,,,,,,

,小轮材料疲劳极限σHlim,,,1500,,,,,名义切向载荷Ft(N),Ft=2000/d1*(9550*P/n1),674799.3872,,,,

,大轮材料疲劳极限σHlim,,,1500,,,,,名义切向载荷Ft(N),Ft=2000/d1*(9550*P/n1),,674799.387,,,

,小轮材料弯曲极限σFlim,,,500,,,,,使用系数KA,,,2.5,,,

,大轮材料弯曲极限σFlim,,,350,,,,,小轮材料疲劳极限σHlim,,,1500,,,

,齿高中部直径dm1/dm2,dm=(da+df)/2,174.1740134,187.8259866,,,,,大轮材料疲劳极限σHlim,,,850,,,

,齿轮内腔直径di1/di2,,0,0,,,,,小轮材料弯曲极限σFlim,,,500,,,

,轮缘内腔直径比q,q=di/dm,0,0,,,,,大轮材料弯曲极限σFlim,,,350,,,

,材料密度ρ（kg/mm^3）,,,0.0000079,,,,,齿高中部直径dm1/dm2,dm=(da+df)/2,190.4569732,-567.6519732,,,

,单位齿宽转动惯量J*,J*=π/32*ρ*(1-q^4)*dm^4,713.7734916,965.2719659,,,,,齿轮内腔直径di1/di2,,0,0,,,

,齿轮副诱导质量mred(kg/mm),mred=J1**J2*/(J1**rb2^2+J2**rba^2),,0.061169609,,,,,轮缘内腔直径比q,q=di/dm,0,0,,,

,啮合刚度cγ(N/(mm.μm),cγ=,,14.55977655,,,,,材料密度ρ（kg/mm^3）,,,0.0000079,,,

,临界转速nE1,nE1=30*10^3/π/z1*(cγ/mred)^0.5,,8666.264994,,,,,单位齿宽转动惯量J*,J*=π/32*ρ*(1-q^4)*dm^4,1020.503482,80529.6081,,,

,临界转速比N（共振区0.2~0.5）,N=n1/nE1,,0.016810702,,,,,齿轮副诱导质量mred(kg/mm),mred=J1**J2*/(J1**rb2^2+J2**rba^2),,0.127583275,,,

,总重合的εγ,εγ=εα+εβ,,1.170740691,,,,,啮合刚度cγ(N/(mm.μm),cγ=,,19.56999101,,,

,系数Cv1/Cv2/Cv3,0.32,0.654615095,-0.247,,,,,临界转速nE1,nE1=30*10^3/π/z1*(cγ/mred)^0.5,,6570.483331,,,

,齿廓偏差跑合量yp1/yp2,yp=ya=0.075*fpb,1.014898378,1.104,,,,,临界转速比N（共振区0.2~0.5）,N=n1/nE1,,0.015996579,,,

,有效基节偏差fpbeH,fpbeH=fpb-yp,12.51707999,13.617,,,,,总重合的εγ,εγ=εα+εβ,,1.541970162,,,

,齿距偏差跑合量yf,yf=0.075*fta,1.354915734,1.489,,,,,系数Cv1/Cv2/Cv3,0.32,0.458948224,-5.325,,,

,有效齿廓形状偏差ffeH,ffeH=fta-yf,16.71062738,18.369,,,,,齿廓偏差跑合量yp1/yp2,yp=ya=0.075*fpb,1.104079498,1.312,,,

,单对齿刚度C',,,12.907,,,,,有效基节偏差fpbeH,fpbeH=fpb-yp,13.61698047,16.179,,,

,跑合齿顶磨合量Cay（μm）,Cay=1/18(σHlim/97-18.45)^2+1.5,,1.995,,,,,齿距偏差跑合量yf,yf=0.075*fta,1.489363868,1.802,,,

,系数Bp,Bp=C'*fpbeH/(Ft*KA/b),0.031602869,0.034,,,,,有效齿廓形状偏差ffeH,ffeH=fta-yf,18.36882104,22.231,,,

,系数Bf,Bf=C'*ffeH/(Ft*KA/b),0.042190653,0.046,,,,,单对齿刚度C',,,13.914,,,

,系数Bk,Bk=|1-c'*Ca/((Ft*Ka)/b)|,,0.995,,,,,跑合齿顶磨合量Cay（μm）,Cay=1/18(σHlim/97-18.45)^2+1.5,,4.354,,,

,动载系数KV,KV=N(Cv1*Bp+Cv2*Bf+Cv3*Bk)+1,,0.997,,,,,系数Bp,Bp=C'*fpbeH/(Ft*KA/b),0.037062769,0.044,,,

,单位载荷Fm/b(小于100时=100),Fm/b=Ft*KA*Kv)/b,,5094.584,,,,,系数Bf,Bf=C'*ffeH/(Ft*KA/b),0.049996354,0.061,,,

,弯曲强度计算名义轴颈dsh,dsh=109*(p/n)^(1/4),,241.318,,,,,系数Bk,Bk=|1-c'*Ca/((Ft*Ka)/b)|,,0.988,,,

,d1/dsh(大于1.15为刚性）,,,0.704,,,,,动载系数KV,KV=N(Cv1*Bp+Cv2*Bf+Cv3*Bk)+1,,0.917,,,

,系数K'(右表),,,0.000,,,,,单位载荷Fm/b(小于100时=100),Fm/b=Ft*KA*Kv)/b,,4685.281,,,

,当量啮合齿向误差fsh,fsh=Fm/b*0.023*(|1+K'*l*s/d1^2*(d1/dsh)^4-0.3|+0.3)*(b/d1)^2,,44.154,,,,,弯曲强度计算名义轴颈dsh,dsh=109*(p/n)^(1/4),,261.841,,,

,系数B1(修形取0.5),,,0.700,,,,,d1/dsh(大于1.15为刚性）,,,0.687,,,

,系数B2(修形取0.5),,,0.700,,,,,系数K'(右表),,,-0.600,,,

,跑合前啮合齿向误差Fβx,Fβx=|1.33*B1*fsh-fHβ5|,,28.190,,,,,当量啮合齿向误差fsh,fsh=Fm/b*0.023*(|1+K'*l*s/d1^2*(d1/dsh)^4-0.3|+0.3)*(b/d1)^2,,36.220,,,

,跑合量yβ,yβ=0.15*Fβx,,4.228,,,,,系数B1(修形取0.5),,,0.700,,,

,跑合后的啮合齿向误差Fβy,Fβy=Fβx-yβ,,23.961,,,,,系数B2(修形取0.5),,,0.700,,,

,齿向载荷分布系数KHβ(不大于2),KHβ=1+Fβy*cγ/(2*Fm/b),,1.034,,,,,跑合前啮合齿向误差Fβx,Fβx=|1.33*B1*fsh-fHβ5|,,19.588,,,

,系数NF,NF=1/(1+h/b+(h/b)^2),,0.933,,,,,跑合量yβ,yβ=0.15*Fβx,,2.938,,,

,齿向载荷分布系数KFβ(不大于2),KFβ=(KHβ)^NF,,1.032,,,,,跑合后的啮合齿向误差Fβy,Fβy=Fβx-yβ,,16.650,,,

,齿廓跑合量ya,ya=0.075*fpb,,1.104,,,,,齿向载荷分布系数KHβ(不大于2),KHβ=1+Fβy*cγ/(2*Fm/b),,1.035,,,

,计算切向力FtH,FtH=Ft*Ka*Kv*KHβ,,1738776.566,,,,,系数NF,NF=1/(1+h/b+(h/b)^2),,0.925,,,

,齿间载荷系数KHα,KHα=0.9+0.4*（2*（εγ-1)/εγ)^0.5*cγ*(fpb-ya)/(FtH/b),,0.908,,,,,齿向载荷分布系数KFβ(不大于2),KFβ=(KHβ)^NF,,1.032,,,

,齿间载荷系数KFα,KFα=KHα,,0.908,,,,,齿廓跑合量ya,ya=0.075*fpb,,1.312,,,

,小齿轮啮合系数ZB（p163）,,,1.297,,,,,计算切向力FtH,FtH=Ft*Ka*Kv*KHβ,,1599905.615,,,

,大齿轮啮合系数ZD（p163）,,,1.272,,,,,齿间载荷系数KHα,KHα=0.9+0.4*（2*（εγ-1)/εγ)^0.5*cγ*(fpb-ya)/(FtH/b),,0.922,,,

,节点区域系数ZH,ZH=(2*cosβb/(cosαt)^2/tanαwt)^0.5,,2.096,,,,,齿间载荷系数KFα,KFα=KHα,,0.922,,,

,弹性系数ZE,,,189.800,,,,,M1,M1=tanαwt/(((da1^2/db1^2-1)^0.5-2*π/z1)*((da2^2/db2^2)-1)^0.5-(εα-1)*2*π/z2)),,1.416,,,

,重合度系数Zε(εβ大于1),Zε=（1/εα)^0.5,,0.924,,,,,M2,M2=tanαwt/(((da2^2/db2^2-1)^0.5-2*π/z2)*((da1^2/db1^2)-1)^0.5-(εα-1)*2*π/z1)),,0.917,,,

,螺旋角系数Zβ,Zβ=（cosβ)^0.5,,1.000,,,,,小齿轮啮合系数ZB（p163）,,,1.416,,,

,计算应力基本值σH0,σH0=ZH*ZE*Zε*Zβ*（Ft/d1/bH*(u+1)/u)^0.5,,1673.370,,,,,大齿轮啮合系数ZD（p163）,,,1.000,,,

,接触应力σH1,σH1=ZB*σH0*（KA*KV*KHβ*KHα）^0.5,,3321.153,,,,,节点区域系数ZH,ZH=(2*cosβb/(cosαt)^2/tanαwt)^0.5,,2.495,,,

,接触应力σH2,σH1=ZD*σH0*（KA*KV*KHβ*KHα）^0.6,,3255.793,,,,,弹性系数ZE,,,189.800,,,

,寿命N,N1=N*h*t*60*n,3461499360,3.4615E+09,,,,,重合度系数Zε(εβ大于1),Zε=（1/εα)^0.5,Zε=（(4-εα)/3)^0.5,0.905,,,

,,N2=N*h*t*60*n/u,817298460,8.1730E+08,,,,,螺旋角系数Zβ,Zβ=（cosβ)^0.5,,1.000,,,

,寿命系数ZNT(P175),ZNT1,,0.901,,,,,计算应力基本值σH0,σH0=ZH*ZE*Zε*Zβ*（Ft/d1/bH*(u-1)/u)^0.5,,1664.177,,,

,,ZNT2,,0.919,,,,,接触应力σH1,σH1=ZB*σH0*（KA*KV*KHβ*KHα）^0.5,,3484.869,,,

,润滑系数ZLZVZR,,,1.000,,,,,接触应力σH2,σH1=ZD*σH0*（KA*KV*KHβ*KHα）^0.6,,2460.377,,,

,齿面工作硬化系数ZW,ZW1,ZW=1.2-(HB-130)/1700,1.000,,,,,寿命N,N1=N*h*t*60*n,817298460,8.1730E+08,,,

,,ZW2,,1.000,,,,,,N2=N*h*t*60*n/u,1069917984,1.0699E+09,,,

,尺寸系数ZX,,,1.000,,,,,寿命系数ZNT(P175),ZNT1,,0.919,,,

,安全系数SH1,SH=σHlim*ZNT/σH*ZLZVZR*ZW*ZX,,0.407,,,,,,ZNT2,,0.916,,,

,安全系数SH2,,,0.424,,,,,润滑系数ZLZVZR,,,1.000,,,

,基本齿廓齿根高hfp1,hfp=(1+c*)*mn,,14.000,,,,,齿面工作硬化系数ZW,ZW1,ZW=1.2-(HB-130)/1700,1.000,,,

,基本齿廓齿根高hfp2,,,14.000,,,,,,ZW2,,1.000,,,

,CB,CB=1+0.5(1.2-hfp/mn),,0.900,,,,,CB,CB=1+0.5(1.2-hfp/mn),,0.900,,,

,挖根量spr(0.4~1),spr=0.025*mn,,0.250,,,,,尺寸系数ZX,,,1.000,,,

,刀尖圆心至刀齿对称线的距离E1,E=π/4*mn-hfp*tanαn+spr/cosαn-(1-sinαn)*ρfp/cosαn,,0.224,,,,,安全系数SH1,SH=σHlim*ZNT/σH*ZLZVZR*ZW*ZX,,0.396,,,

,E2,E2,,0.224,,,,,安全系数SH2,,,0.316,,,

,辅助值G1,G1=ρao/mn-hfp/mn+x,,-0.500,,,,,基本齿廓齿根高hfp1,hfp=(1+c*)*mn,,14.000,,,

,G2,G2=ρao/mn-hfp/mn+x,,-0.317,,,,,基本齿廓齿根高hfp2,,,14.000,,,

,辅助值H1,H=2/Zn*(π/2-E/mn)-π/3,,-0.865,,,,,挖根量spr1(0.4~1),spr=0.025*mn,,0.250,,,

,H2,,,-0.875,,,,,挖根量spr2(0.4~2),spr=0.026*mn,,0.250,,,

,辅助角θ1,θ=2G/Zn*tan(π/6)-H,,0.8311,,,,,刀尖圆心至刀齿对称线的距离E1,E=π/4*mn-hfp*tanαn+spr/cosαn-(1-sinαn)*ρfp/cosαn,,0.224,,,

,,θ=2G/Zn*tan(θ)-H,,0.8006,,,,,E2,E2,,1.974,,,

,,θ=2G/Zn*tan(θ)-H,,0.8044,,,,,辅助值G1,G1=ρao/mn-hfp/mn+x,,-0.317,,,

,,θ=2G/Zn*tan(θ)-H,,0.8039,,,,,G2,G2=ρao/mn-hfp/mn+x,,-0.567,,,

,,,,0.8040,,,,,辅助值H1,H=2/Zn*(π/2-E/mn)-π/3,,-0.875,,,

,辅助角θ2,,,0.8548,,,,,H2,,,-1.097,,,

,,,,0.8346,,,,,辅助角θ1,θ=2G/Zn*tan(π/6)-H,,0.8548,,,

,,,,0.8362,,,,,,θ=2G/Zn*tan(θ)-H,,0.8346,,,

,,,,0.8361,,,,,,θ=2G/Zn*tan(θ)-H,,0.8362,,,

,危险截面玄齿厚与模数比sFn1/mn,sFn/mn=zn*sin(π/3-θ)+3^0.5*(G/cosθ-ρfp/mn),,2.153,,,,,,θ=2G/Zn*tan(θ)-H,,0.8361,,,

,sFn2/mn,,,2.259,,,,,,,,0.8361,,,

,齿根圆角处弧径模数比ρF1/mn,ρF/mn=ρfp/mn+2*G^2/cosθ/(zn*(cosθ)^2-2*G),,0.478,,,,,辅助角θ2,,,1.1091,,,

,ρF2/mn,,,0.434,,,,,,,,1.1386,,,

,当量齿数Zn1,Zn1=z/(cosβb)^2/cosβ,,17.000,,,,,,,,1.1419,,,

,当量齿数Zn2,,,18.000,,,,,,,,1.1423,,,

,εαn,εαn=εα/(cosβb)^2,,1.171,,,,,内齿刀具圆角半径ρfp2,ρfp2=0.15*mn,,1.5000,,,

,dn1,dn=mn*zn,,170.000,,,,,危险截面玄齿厚与模数比sFn1/mn,sFn/mn=zn*sin(π/3-θ)+3^0.5*(G/cosθ-ρfp/mn),,2.258,,,

,dn2,,,180.000,,,,,sFn2/mn,sFn2/mn=2*(π/4+(hfp2-ρfp2)/mn*tanαn+(ρfp2-spr)/mn/cosαn-ρfp2/mn*cos(π/6)),,2.487,,,

,pbn,pbn=π*mn*cosαn,,29.521,,,,,齿根圆角处弧径模数比ρF1/mn,ρF/mn=ρfp/mn+2*G^2/cosθ/(zn*(cosθ)^2-2*G),,0.434,,,

,dbn1,dbn=dn*cosαn,,159.748,,,,,ρF2/mn,,,0.215,,,

,dbn2,,,169.145,,,,,当量齿数Zn1,Zn1=z/(cosβb)^2/cosβ,,18.000,,,

,dan1,dan=dn+da-d,,196.348,,,,,当量齿数Zn2,,,-55.000,,,

,dan2,,,210.000,,,,,εαn,εαn=εα/(cosβb)^2,,1.542,,,

,当量齿轮圆直径den1,den=2*(((dan/2)^2-(dbn/2)^2)^0.5-π*d*cosβ*cosαn/z*(εαn-1))^2+(dbn/2)^2)^0.5,,190.663,,,,,dn1,dn=mn*zn,,180.000,,,

,当量齿轮圆直径den2,,,204.187,,,,,dn2,,,-550.000,,,

,当量角αen1,αen=arccos(dbn/den),0.577457235,33.086,,,,,pbn,pbn=π*mn*cosαn,,29.521,,,

,当量角αen2,,0.594583916,34.067,,,,,dbn1,dbn=dn*cosαn,,169.145,,,

,辅助角γc1,γc=0.5*π+2*tanαn*x/zn+invαn-invαen,,0.055,,,,,dbn2,,,-516.831,,,

,辅助角γc2,,,0.048,,,,,dan1,dan=dn+da-d,,215.262,,,

,载荷作用角αFen1,αFen=αen-γc,,0.523,,,,,dan2,,,-543.652,,,

,载荷作用角αFen2,,,0.546,,,,,dfn1,dan=dn+df-d,,165.652,,,

,弯曲力臂模数比hFe1/mn,hFe/mn=0.5*((cosγc-sinγc*tanαFen)*den/mn-zn*cos(π/3-θ)-G/COSθ+ρfp/mn),,1.529,,,,,dfn2,,,-591.652,,,

,弯曲力臂模数比hFe2/mn,,,1.535,,,,,当量齿轮圆直径den1,den=2*(((dan/2)^2-(dbn/2)^2)^0.5-π*d*cosβ*cosαn/z*(εαn-1))^2+(dbn/2)^2)^0.5,,197.080,,,

,齿形系数YF1,YF=6*hFe/mn*cosαFen/(SFn/mn)^2/cosαn,,1.825,,,,,当量齿轮圆直径den2,,,-554.414,,,

,齿形系数YF2,,,1.642,,,,,当量角αen1,αen=arccos(dbn/den),0.538938545,30.879,,,

,L1,L=sFn/hFe,,1.408,,,,,当量角αen2,,0.370321052,21.218,,,

,L2,,,1.471,,,,,辅助角γc1,γc=0.5*π+2*tanαn*x/zn+invαn-invαen,,0.071,,,

,齿根圆角参数qs1,qs=sFn/2/Ρf,,2.250,,,,,辅助角γc2,,,-0.041,,,

,齿根圆角参数qs2,,,2.599,,,,,载荷作用角αFen1,αFen=αen-γc,,0.468,,,

,应力修正系数YS1,YS=(1.2+0.13*L)*qs^(1/(1.21+2.3/L)),,1.839,,,,,载荷作用角αFen2,,,0.411,,,

,应力修正系数YS2,,,1.963,,,,,弯曲力臂模数比hFe1/mn,hFe/mn=0.5*((cosγc-sinγc*tanαFen)*den/mn-zn*cos(π/3-θ)-G/COSθ+ρfp/mn),,1.114,,,

,螺旋角系数Yβ,Yβ=1-β/120,,1.000,,,,,弯曲力臂模数比hFe2/mn,hFe2/mn=(den2-dfn2)/2/mn-(π/4+(hfp2/mn-(den2-dfn2)/2/mn)*tanαn)*tanαn-ρfp2/mn*(1-sin(π/6)),,1.562,,,

,计算应力基本值σF01,σF0=Ft/Bf/mn*YF*YS*Yβ,,686.499,,,,,齿形系数YF1,YF=6*hFe/mn*cosαFen/(SFn/mn)^2/cosαn,,1.244,,,

,计算应力基本值σF02,,,659.093,,,,,齿形系数YF2,,,1.479,,,

,齿根应力σF1,σF=σF0*KA*KV*KFβ*KFα,,1602.796,,,,,L1,L=sFn/hFe,,2.028,,,

,齿根应力σF2,,,1538.809,,,,,L2,,,1.592,,,

,材料滑移层厚度ρ’,,,0.003,,,,,齿根圆角参数qs1,qs=sFn/2/Ρf,,2.599,,,

,标准试验齿轮应力梯度xp*,,,1.200,,,,,齿根圆角参数qs2,,,5.792,,,

,相对应力梯度x*1,x*=1/5*（1+2*qs）,,1.100,,,,,应力修正系数YS1,YS=(1.2+0.13*L)*qs^(1/(1.21+2.3/L)),,2.200,,,

,相对应力梯度x*2,,,1.240,,,,,应力修正系数YS2,,,2.727,,,

,相对齿根圆角YδrelT1,YδrelT=(1+(ρ’*x*))^0.5/(1+(ρ’*xp*)),,0.998,,,,,螺旋角系数Yβ,Yβ=1-β/120,,1.000,,,

,相对齿根圆角YδrelT2,,,1.001,,,,,计算应力基本值σF01,σF0=Ft/Bf/mn*YF*YS*Yβ,,559.643,,,

,相对齿根表面YRrelT,,,0.950,,,,,计算应力基本值σF02,,,824.313,,,

,弯曲强度尺寸系数Yx,Yx=1.03-0.006mn,,0.970,,,,,齿根应力σF1,σF=σF0*KA*KV*KFβ*KFα,,1220.127,,,

,应力修正系数YST,,,2.000,,,,,齿根应力σF2,,,1797.158,,,

,弯曲强度安全系数SF1,SF=σFlim*YN*YδrelT*YRrelT*Yx*YST/σF,,0.516,,,,,材料滑移层厚度ρ’,,,0.003,,,

,弯曲强度安全系数SF2,,,0.386,,,,,标准试验齿轮应力梯度xp*,,,1.200,,,

,,,,,,,,,相对应力梯度x*1,x*=1/5*（1+2*qs）,,1.240,,,

,度分秒转换器,14,6,29,14.10805556,,,,相对应力梯度x*2,,,2.517,,,

,扭矩换算,0.827819062,,,,,,,相对齿根圆角YδrelT1,YδrelT=(1+(ρ’*x*))^0.5/(1+(ρ’*xp*)),,1.001,,,

,基圆直径db,159.7477485,169.1446748,,,,,,相对齿根圆角YδrelT2,,,1.025,,,

,"节圆直径d1`,d2`",179.7142857,180,,,,,,相对齿根表面YRrelT,,,0.950,,,

,未变位螺旋角β,18.92464444,18,55,28.72,,,,弯曲强度尺寸系数Yx,Yx=1.03-0.006mn,,0.970,,,

,端面压力角at,0.3490658,,,,,,,应力修正系数YST,,,2.000,,,

,端面啮合角atp,0.475861398,,,,,,,弯曲强度安全系数SF1,SF=σFlim*YN*YδrelT*YRrelT*Yx*YST/σF,,0.695,,,

,基圆半径rb1,79.87387423,,,,,,,弯曲强度安全系数SF2,,,0.337,,,

,基圆半径rb2,84.57233742,,,,,,,,,,,,,

,实际齿顶圆半径ra1,98.1740134,98.1740134,,,,,,度分秒转换器,14,6,29,14.10805556,,

,实际齿顶圆半径ra2,105,105,,,,,,扭矩换算,0,,,,,

,齿条啮合齿廓始点De1&2,162.3418106,174.5256385,,,,,,基圆直径db,169.1446748,-516.8309509,,,,

,齿轮啮合齿廓始点DAE1&2,165.9755861,177.9661272,,,,,,"节圆直径d1`,d2`",91.23287671,550,,,,

,传动比分配A1,A2,A3,A4,,,,,未