iso15144-2: examples 1 to 4, using method a and b · iso15144-2: examples 1 to 4, using method a...

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ISO15144-2: Examples 1 to 4, using Method A and B

Reviewed by U. Kissling, 10 nov 2014 Note: In the examples of ISO15144-2 the tip relief factor XCa is calculated following method B. In KISSsoft we use Method A (which is more precise). In order to get the same results as in 15144-2, we just set the tip relief Ca to 0.

Calculation of examples 1 to 4 with Method A and B, comparing our results with results presented in draft ISO TR 15144-2(2014)

Example 1 : mn=10.93, =0, z=18/18 Example 2 : mn=10, =0, z=20/20 Example 3 : mn=4.5, =19.578, z=33/34 Example 4 : mn=8, =14.5, z=21/67 Resume:

What Result in 15144-2

Our result Comment

Example 1, Method B S=0.644 0.644 OK

Example 2, Method B (no tip relief considered)

S=0.353 0.353 OK

Example 3, Method A 1.124 1.208 We considered all contact points (not only A, AB, etc.). See note.


S=0.884 0.8848 OK

Example 3, Method B (tip relief considered)

1.148 For information only

Example 4, Method A 1.158 1.282 OK


S= 0.894 0.8948 OK. See note.

Note: Examples using Method A (Hertzian pressure from LCA): Pressure distribution is slightly different in KISSsoft Contact analysis than the data given as input in the examples. Furthermore any flank line modification (or shaft bending data) is not indicated, therefore the load distribution over the face width can not be reproduced.


Example 3, Method A

Example 4, Method A


Data Overview

Example 1, Method B

4b. MICROPITTING ACCORDING TO ISO TR 15144-1:2010

Calculation of permissible specific film thickness

Lubricant load according to FVA Info sheet 54/7 8 (Oil:)

Reference data FZG-C Test:

Torque (Nm) [T1Ref] 171.6

Line load at contact point A (N/mm) [FbbRef,A] 153.7

Oil temperature (°C) [theOilRef] 90.0

Tooth mass temperature (°C) [theMRef] 115.9

Contact temperature (°C) [theBRef,A] 198.4

Lubrication gap thickness (µm) [hRef,A] 0.075

Specific film thickness in test (µm) [lamGFT] 0.151

Material coefficient [WW] 1.00

Permissible specific film thickness (µm) [lamGFP] 0.211

Intermediate results according to ISO TR 15144:2010

Coefficient of friction [mym] 0.048

Lubricant factor [XL] 1.000

Roughness factor [XR] 1.025

Tooth mass temperature (°C) [theM] 153.6

Tip relief factor [XCa (A)] 1.000

Loss factor [HV] 0.204

Equivalent Young's modulus (N/mm²) [Er] 226374

Compressed viscosity index (m2/N) [alf38] 0.02150

Dynamic viscosity (Ns/m2) [etatM] 4.7

Roughness average value (µm) [Ra] 0.9

Calculation of speeds, load distribution and flank curvature according to method B following ISO 15144-1:2010

With modifications following ISO TR CD 15144-2:2013

Ca taken as optimal in the calculation (0=no, 1=yes) 0 0

Minimal specific film thickness (µm) [lamGFY] 0.136 (hY=0.122 µm)

Safety against micropitting [Slam] 0.644

Calculation Micropitting ISO TR 15144, Methode B Pair 1-2 gA = 0.000 gAB = 6.626 gB = 13.253 gC = 22.760 gD = 32.267 gDE = 38.893 gE = 45.519 Er = 226373.6 Ra = 0.900 ZE = 189.812 XL = 1.000 XS = 1.200 XCa = 1.000 mym = 0.048 theM = 153.604 etaTm= 4.652 alf38= 0.0215 *1e-6 alfTm= 0.0118 *1e-6 A: dA,1 = 187.419 dA,2 = 221.400 rt1,A = 15.389 rt2,A = 60.908 ron,A = 12.285 XbutA = 1.000 XA = 0.333 PH,A,B = 963.371 Pdin,A,B = 1083.525 Vr1,A = 4.835 Vr2,A = 19.135


Vg,A = -14.300 VSig,A = 23.969 ThetaFl,A= 175.285 TheB,A = 328.889 (GM,A = 2678.6 U,A = 20.047*10^-12 W,A = 1.439*10^-4 SGF,A = 0.057) h,A = 0.1224 lamGF,A = 0.136 Slam,A = 0.644 AB: dAB,1 = 190.046 dAB,2 = 214.394 rt1,AB = 22.015 rt2,AB = 54.282 ron,AB = 15.663 XbutAB = 1.000 XAB = 0.500 PH,AB,B = 1044.941 Pdin,AB,B = 1175.268 Vr1,AB = 6.916 Vr2,AB = 17.053 Vg,AB = -10.137 VSig,AB = 23.969 ThetaFl,AB= 154.120 TheB,AB = 307.724 (GM,AB = 2678.6 U,AB = 15.723*10^-12 W,AB = 1.694*10^-4 SGF,AB = 0.076) h,AB = 0.1374 lamGF,AB = 0.153 Slam,AB = 0.723 B: dB,1 = 193.546 dB,2 = 207.998 rt1,B = 28.641 rt2,B = 47.655 ron,B = 17.890 XbutB = 1.000 XB = 1.000 PH,B,B = 1382.739 Pdin,B,B = 1555.197 Vr1,B = 8.998 Vr2,B = 14.971 Vg,B = -5.974 VSig,B = 23.969 ThetaFl,B= 145.392 TheB,B = 298.996 (GM,B = 2678.6 U,B = 13.766*10^-12 W,B = 2.966*10^-4 SGF,B = 0.086) h,B = 0.1365 lamGF,B = 0.152 Slam,B = 0.718 C: dC,1 = 200.000 dC,2 = 200.000 rt1,C = 38.148 rt2,C = 38.148 ron,C = 19.074 XbutC = 1.000 XC = 1.000 PH,C,B = 1339.111 Pdin,C,B = 1506.128 Vr1,C = 11.985 Vr2,C = 11.985 Vg,C = 0.000 VSig,C = 23.969 ThetaFl,C= 0.000 TheB,C = 153.604 (GM,C = 2678.6 U,C = 12.911*10^-12 W,C = 2.781*10^-4 SGF,C = 1.000) h,C = 0.2406 lamGF,C = 0.267 Slam,C = 1.266 D: dD,1 = 207.998 dD,2 = 193.546 rt1,D = 47.655 rt2,D = 28.641 ron,D = 17.890 XbutD = 1.000 XD = 1.000 PH,D,B = 1382.739 Pdin,D,B = 1555.197 Vr1,D = 14.971 Vr2,D = 8.998 Vg,D = 5.974 VSig,D = 23.969 ThetaFl,D= 145.393 TheB,D = 298.996 (GM,D = 2678.6 U,D = 13.766*10^-12 W,D = 2.966*10^-4 SGF,D = 0.086) h,D = 0.1365 lamGF,D = 0.152 Slam,D = 0.718 DE: dDE,1 = 214.394 dDE,2 = 190.046 rt1,DE = 54.282 rt2,DE = 22.015 ron,DE = 15.663 XbutDE = 1.000 XDE = 0.500 PH,DE,B = 1044.941 Pdin,DE,B = 1175.268 Vr1,DE = 17.053 Vr2,DE = 6.916 Vg,DE = 10.137 VSig,DE = 23.969


ThetaFl,DE= 154.120 TheB,DE = 307.724 (GM,DE = 2678.6 U,DE = 15.723*10^-12 W,DE = 1.694*10^-4 SGF,DE = 0.076) h,DE = 0.1374 lamGF,DE = 0.153 Slam,DE = 0.723 E: dE,1 = 221.400 dE,2 = 187.419 rt1,E = 60.908 rt2,E = 15.389 ron,E = 12.285 XbutE = 1.000 XE = 0.333 PH,E,B = 963.371 Pdin,E,B = 1083.525 Vr1,E = 19.135 Vr2,E = 4.835 Vg,E = 14.300 VSig,E = 23.969 ThetaFl,E= 175.285 TheB,E = 328.889 (GM,E = 2678.6 U,E = 20.047*10^-12 W,E = 1.439*10^-4 SGF,E = 0.057) h,E = 0.1224 lamGF,E = 0.136 Slam,E = 0.644

Example 2, Method B without considering tip relief Ca






























Calculation Micropitting ISO TR 15144, Methode B Pair 1-2 gA = 0.000 gAB = 8.219 gB = 16.439 gC = 22.980 gD = 29.521 gDE = 37.741


gE = 45.960 Er = 226373.6 Ra = 0.800 ZE = 189.812 XL = 1.000 XS = 1.200 XCa = 1.000 mym = 0.067 theM = 126.576 etaTm= 6.443 alf38= 0.0205 *1e-6 alfTm= 0.0130 *1e-6 A: dA,1 = 189.274 dA,2 = 220.000 rt1,A = 11.222 rt2,A = 57.182 ron,A = 9.381 XbutA = 1.000 XA = 0.333 PH,A,B = 1476.400 Pdin,A,B = 1541.337 Vr1,A = 1.175 Vr2,A = 5.988 Vg,A = -4.813 VSig,A = 7.163 ThetaFl,A= 225.690 TheB,A = 352.266 (GM,A = 2936.2 U,A = 10.867*10^-12 W,A = 2.913*10^-4 SGF,A = 0.024) h,A = 0.0483 lamGF,A = 0.060 Slam,A = 0.353 AB: dAB,1 = 191.919 dAB,2 = 211.920 rt1,AB = 19.441 rt2,AB = 48.963 ron,AB = 13.916 XbutAB = 1.000 XAB = 0.500 PH,AB,B = 1484.636 Pdin,AB,B = 1549.934 Vr1,AB = 2.036 Vr2,AB = 5.127 Vg,AB = -3.091 VSig,AB = 7.163 ThetaFl,AB= 170.319 TheB,AB = 296.895 (GM,AB = 2936.2 U,AB = 7.325*10^-12 W,AB = 2.945*10^-4 SGF,AB = 0.049) h,AB = 0.0639 lamGF,AB = 0.080 Slam,AB = 0.468 B: dB,1 = 195.912 dB,2 = 204.844 rt1,B = 27.661 rt2,B = 40.743 ron,B = 16.475 XbutB = 1.000 XB = 1.000 PH,B,B = 1929.617 Pdin,B,B = 2014.487 Vr1,B = 2.897 Vr2,B = 4.267 Vg,B = -1.370 VSig,B = 7.163 ThetaFl,B= 119.228 TheB,B = 245.804 (GM,B = 2936.2 U,B = 6.187*10^-12 W,B = 4.976*10^-4 SGF,B = 0.102) h,B = 0.0736 lamGF,B = 0.092 Slam,B = 0.539 C: dC,1 = 200.000 dC,2 = 200.000 rt1,C = 34.202 rt2,C = 34.202 ron,C = 17.101 XbutC = 1.000 XC = 1.000 PH,C,B = 1893.996 Pdin,C,B = 1977.300 Vr1,C = 3.582 Vr2,C = 3.582 Vg,C = 0.000 VSig,C = 7.163 ThetaFl,C= 0.000 TheB,C = 126.576 (GM,C = 2936.2 U,C = 5.961*10^-12 W,C = 4.794*10^-4 SGF,C = 1.000) h,C = 0.1236 lamGF,C = 0.155 Slam,C = 0.905 D: dD,1 = 204.844 dD,2 = 195.912 rt1,D = 40.743 rt2,D = 27.661 ron,D = 16.475 XbutD = 1.000


XD = 1.000 PH,D,B = 1929.617 Pdin,D,B = 2014.487 Vr1,D = 4.267 Vr2,D = 2.897 Vg,D = 1.370 VSig,D = 7.163 ThetaFl,D= 119.228 TheB,D = 245.804 (GM,D = 2936.2 U,D = 6.187*10^-12 W,D = 4.976*10^-4 SGF,D = 0.102) h,D = 0.0736 lamGF,D = 0.092 Slam,D = 0.539 DE: dDE,1 = 211.920 dDE,2 = 191.919 rt1,DE = 48.963 rt2,DE = 19.441 ron,DE = 13.916 XbutDE = 1.000 XDE = 0.500 PH,DE,B = 1484.636 Pdin,DE,B = 1549.934 Vr1,DE = 5.127 Vr2,DE = 2.036 Vg,DE = 3.091 VSig,DE = 7.163 ThetaFl,DE= 170.319 TheB,DE = 296.895 (GM,DE = 2936.2 U,DE = 7.325*10^-12 W,DE = 2.945*10^-4 SGF,DE = 0.049) h,DE = 0.0639 lamGF,DE = 0.080 Slam,DE = 0.468 E: dE,1 = 220.000 dE,2 = 189.274 rt1,E = 57.182 rt2,E = 11.222 ron,E = 9.381 XbutE = 1.000 XE = 0.333 PH,E,B = 1476.400 Pdin,E,B = 1541.337 Vr1,E = 5.988 Vr2,E = 1.175 Vg,E = 4.813 VSig,E = 7.163 ThetaFl,E= 225.690 TheB,E = 352.266 (GM,E = 2936.2 U,E = 10.867*10^-12 W,E = 2.913*10^-4 SGF,E = 0.024) h,E = 0.0483 lamGF,E = 0.060 Slam,E = 0.353

Example 3, Method A



Lubricant load according to FVA Info sheet 54/7 8 (Öl:)























Calculation of speeds, load distribution and flank curvature according to ISO15144 method A with contact analysis



Safety S

Most critical point S = 1.208

Example 3, Method B, without considering tip relief Ca































Calculation Micropitting ISO TR 15144, Methode B Pair 1-2 gA = 0.000 gAB = 3.813 gB = 7.626 gC = 10.832 gD = 13.997 gDE = 17.810 gE = 21.623 Er = 226373.6 Ra = 0.450 ZE = 189.812 XL = 1.000 XS = 1.200 XCa = 1.000 mym = 0.054 theM = 149.311 etaTm= 2.440 alf38= 0.0188 *1e-6 alfTm= 0.0106 *1e-6 A: dA,1 = 151.162 dA,2 = 171.390 rt1,A = 17.566 rt2,A = 40.090 ron,A = 12.869 XbutA = 1.300 XA = 0.841 PH,A,B = 1752.036 Pdin,A,B = 1882.929 Vr1,A = 5.518 Vr2,A = 12.224 Vg,A = -6.706 VSig,A = 17.743 ThetaFl,A= 241.698 TheB,A = 391.009 (GM,A = 2388.5 U,A = 7.431*10^-12 W,A = 4.347*10^-4 SGF,A = 0.030) h,A = 0.0447 lamGF,A = 0.099 Slam,A = 0.885 AB: dAB,1 = 153.115 dAB,2 = 167.957 rt1,AB = 21.379 rt2,AB = 36.277 ron,AB = 14.172 XbutAB = 1.000 XAB = 0.647 PH,AB,B = 1464.249 Pdin,AB,B = 1573.642 Vr1,AB = 6.716 Vr2,AB = 11.061 Vg,AB = -4.345 VSig,AB = 17.778 ThetaFl,AB= 124.041 TheB,AB = 273.352 (GM,AB = 2388.5 U,AB = 6.760*10^-12 W,AB = 3.036*10^-4 SGF,AB = 0.135) h,AB = 0.0675 lamGF,AB = 0.150 Slam,AB = 1.334 B: dB,1 = 155.417 dB,2 = 164.807 rt1,B = 25.192 rt2,B = 32.463 ron,B = 14.945 XbutB = 1.000 XB = 0.647


PH,B,B = 1425.909 Pdin,B,B = 1532.437 Vr1,B = 7.914 Vr2,B = 9.899 Vg,B = -1.984 VSig,B = 17.813 ThetaFl,B= 55.508 TheB,B = 204.819 (GM,B = 2388.5 U,B = 6.424*10^-12 W,B = 2.879*10^-4 SGF,B = 0.361) h,B = 0.0859 lamGF,B = 0.191 Slam,B = 1.698 C: dC,1 = 157.612 dC,2 = 162.388 rt1,C = 28.398 rt2,C = 29.258 ron,C = 15.183 XbutC = 1.000 XC = 0.647 PH,C,B = 1414.682 Pdin,C,B = 1520.371 Vr1,C = 8.921 Vr2,C = 8.921 Vg,C = 0.000 VSig,C = 17.843 ThetaFl,C= 0.000 TheB,C = 149.311 (GM,C = 2388.5 U,C = 6.334*10^-12 W,C = 2.834*10^-4 SGF,C = 1.000) h,C = 0.1083 lamGF,C = 0.241 Slam,C = 2.142 D: dD,1 = 160.002 dD,2 = 160.216 rt1,D = 31.562 rt2,D = 26.093 ron,D = 15.050 XbutD = 1.000 XD = 0.647 PH,D,B = 1420.931 Pdin,D,B = 1527.088 Vr1,D = 9.916 Vr2,D = 7.956 Vg,D = 1.959 VSig,D = 17.872 ThetaFl,D= 54.618 TheB,D = 203.928 (GM,D = 2388.5 U,D = 6.400*10^-12 W,D = 2.859*10^-4 SGF,D = 0.366) h,D = 0.0866 lamGF,D = 0.192 Slam,D = 1.712 DE: dDE,1 = 163.161 dDE,2 = 157.897 rt1,DE = 35.376 rt2,DE = 22.280 ron,DE = 14.403 XbutDE = 1.000 XDE = 0.647 PH,DE,B = 1452.487 Pdin,DE,B = 1561.001 Vr1,DE = 11.114 Vr2,DE = 6.794 Vg,DE = 4.320 VSig,DE = 17.907 ThetaFl,DE= 122.360 TheB,DE = 271.670 (GM,DE = 2388.5 U,DE = 6.701*10^-12 W,DE = 2.988*10^-4 SGF,DE = 0.138) h,DE = 0.0686 lamGF,DE = 0.152 Slam,DE = 1.357 E: dE,1 = 166.610 dE,2 = 155.916 rt1,E = 39.189 rt2,E = 18.467 ron,E = 13.225 XbutE = 1.300 XE = 0.841 PH,E,B = 1728.290 Pdin,E,B = 1857.410 Vr1,E = 12.312 Vr2,E = 5.631 Vg,E = 6.681 VSig,E = 17.942 ThetaFl,E= 237.681 TheB,E = 386.992 (GM,E = 2388.5 U,E = 7.312*10^-12 W,E = 4.230*10^-4 SGF,E = 0.031) h,E = 0.0462 lamGF,E = 0.103 Slam,E = 0.913


Example 3, Method B, considering tip relief Ca (for information only) Profile and tooth trace modifications for gear 1 Symmetric (both flanks) - Tip relief, linear Caa = 50.000µm LCa = 0.960*mn dCa = 162.726mm Profile and tooth trace modifications for gear 2 Symmetric (both flanks) - Tip relief, linear Caa = 50.000µm LCa = 0.960*mn dCa = 167.520mm






























Example 4, Method A





























Stress pdyn


Specific film thickness Most critical point = 0.261

Safety S

Most critical point S = 1.282 (at right side of facewidth and root area of pinion)

Example 4, Method B, without considering tip relief Ca































Calculation Micropitting ISO TR 15144, Methode B Pair 1-2 gE = 0.000 gDE = 6.548 gD = 13.096 gC = 17.479 gB = 24.299 gAB = 30.847 gA = 37.395 Er = 230769.2 Ra = 0.670 ZE = 191.646 XL = 1.000 XS = 1.200 XCa = 1.000 mym = 0.060 theM = 80.282 etaTm= 40.071 alf38= 0.0232 *1e-6 alfTm= 0.0186 *1e-6 E: dE,1 = 165.768 dE,2 = 576.300 rt1,E = 16.555 rt2,E = 126.062 ron,E = 15.056 XbutE = 1.300 XE = 0.845 PH,E,B = 1540.522 Pdin,E,B = 1916.619 Vr1,E = 0.920 Vr2,E = 2.197 Vg,E = -1.276 VSig,E = 3.117 ThetaFl,E= 152.432 TheB,E = 232.714 (GM,E = 4290.7 U,E = 17.975*10^-12 W,E = 4.334*10^-4 SGF,E = 0.021) h,E = 0.1286 lamGF,E = 0.192 Slam,E = 0.895 DE: dDE,1 = 168.872 dDE,2 = 570.692 rt1,DE = 23.102 rt2,DE = 119.514 ron,DE = 19.919 XbutDE = 1.000 XDE = 0.650 PH,DE,B = 1174.653 Pdin,DE,B = 1461.428 Vr1,DE = 1.284 Vr2,DE = 2.083 Vg,DE = -0.798 VSig,DE = 3.367 ThetaFl,DE= 69.185 TheB,DE = 149.467 (GM,DE = 4290.7 U,DE = 14.676*10^-12 W,DE = 2.520*10^-4 SGF,DE = 0.109) h,DE = 0.2270 lamGF,DE = 0.339 Slam,DE = 1.579


D: dD,1 = 172.914 dD,2 = 565.333 rt1,D = 29.650 rt2,D = 112.967 ron,D = 24.164 XbutD = 1.000 XD = 0.650 PH,D,B = 1066.497 Pdin,D,B = 1326.867 Vr1,D = 1.648 Vr2,D = 1.969 Vg,D = -0.320 VSig,D = 3.617 ThetaFl,D= 25.348 TheB,D = 105.629 (GM,D = 4290.7 U,D = 12.995*10^-12 W,D = 2.077*10^-4 SGF,D = 0.382) h,D = 0.3414 lamGF,D = 0.510 Slam,D = 2.375 C: dC,1 = 176.114 dC,2 = 561.886 rt1,C = 34.034 rt2,C = 108.583 ron,C = 26.660 XbutC = 1.000 XC = 0.650 PH,C,B = 1015.343 Pdin,C,B = 1263.226 Vr1,C = 1.892 Vr2,C = 1.892 Vg,C = 0.000 VSig,C = 3.784 ThetaFl,C= 0.000 TheB,C = 80.282 (GM,C = 4290.7 U,C = 12.324*10^-12 W,C = 1.883*10^-4 SGF,C = 1.000) h,C = 0.4543 lamGF,C = 0.678 Slam,C = 3.160 B: dB,1 = 181.821 dB,2 = 556.757 rt1,B = 40.854 rt2,B = 101.763 ron,B = 29.993 XbutB = 1.000 XB = 0.650 PH,B,B = 957.275 Pdin,B,B = 1190.981 Vr1,B = 2.271 Vr2,B = 1.773 Vg,B = 0.498 VSig,B = 4.045 ThetaFl,B= 35.368 TheB,B = 115.649 (GM,B = 4290.7 U,B = 11.708*10^-12 W,B = 1.674*10^-4 SGF,B = 0.276) h,B = 0.3773 lamGF,B = 0.563 Slam,B = 2.624 AB: dAB,1 = 188.071 dAB,2 = 552.104 rt1,AB = 47.402 rt2,AB = 95.215 ron,AB = 32.561 XbutAB = 1.000 XAB = 0.650 PH,AB,B = 918.752 Pdin,AB,B = 1143.053 Vr1,AB = 2.635 Vr2,AB = 1.659 Vg,AB = 0.976 VSig,AB = 4.294 ThetaFl,AB= 66.216 TheB,AB = 146.498 (GM,AB = 4290.7 U,AB = 11.451*10^-12 W,AB = 1.542*10^-4 SGF,AB = 0.118) h,AB = 0.3378 lamGF,AB = 0.504 Slam,AB = 2.350 A: dA,1 = 195.000 dA,2 = 547.725 rt1,A = 53.949 rt2,A = 88.667 ron,A = 34.510 XbutA = 1.300 XA = 0.845 PH,A,B = 1017.524 Pdin,A,B = 1265.938 Vr1,A = 2.999 Vr2,A = 1.545 Vg,A = 1.454 VSig,A = 4.544 ThetaFl,A= 115.846 TheB,A = 196.128 (GM,A = 4290.7 U,A = 11.433*10^-12 W,A = 1.891*10^-4 SGF,A = 0.041) h,A = 0.2755 lamGF,A = 0.411 Slam,A = 1.916


Full geometry data

Example 1 KISSsoft Release 03/2014 E

KISSsoft-Entwicklungs-Version KISSsoft AG CH-8608 BUBIKON

File

Name : 15144-2_Expl1

Changed by: ukissling on: 11.11.2014 at: 11:34:04

CALCULATION OF A CYLINDRICAL SPUR GEAR PAIR

Drawing or article number:

Gear 1: 0.000.0

Gear 2: 0.000.0

Calculation method ISO 6336:2006 Method B

------- GEAR 1 -------- GEAR 2 --

Power (kW) [P] 589.991

Speed (1/min) [n] 3000.0 3000.0

Torque (Nm) [T] 1878.0 1878.0

Application factor [KA] 1.00

Required service life [H] 20000.00

Gear driving (+) / driven (-) + -

1. TOOTH GEOMETRY AND MATERIAL

(geometry calculation according to

DIN 3960:1987)

------- GEAR 1 -------- GEAR 2 –

Center distance (mm) [a] 200.000

Centre distance allowances (mm) [Aa.e/i] 0.050 / 0.050

Normal module (mm) [mn] 10.9300

Pressure angle at normal section (°) [alfn] 20.0000

Helix angle at reference circle (°) [beta] 0.0000

Number of teeth [z] 18 18

Facewidth (mm) [b] 21.40 21.40

Hand of gear Spur gear

Accuracy grade [Q-ISO 1328:1995] 5 5

Inner diameter (mm) [di] 0.00 0.00

Inner diameter of gear rim (mm) [dbi] 0.00 0.00

Material

Gear 1: (Own input) 18CrNiMo7-6, Case-carburized steel, case-hardened

ISO 6336-5 Bild 9/10 (MQ), Kernfestigkeit >=25HRC Jominy J=12mm<HRC28




------- GEAR 1 -------- GEAR 2 –

Surface hardness HRC 61 HRC 61

Material quality according to ISO 6336:2006 Normal (Life factors ZNT and YNT >=0.85)

Fatigue strength. tooth root stress (N/mm²) [sigFlim] 430.00 430.00

Fatigue strength for Hertzian pressure (N/mm²) [sigHlim] 1500.00 1500.00

Tensile strength (N/mm²) [Rm] 1200.00 1200.00

Yield point (N/mm²) [Rp] 850.00 850.00

Young's modulus (N/mm²) [E] 206000 206000

Poisson's ratio [ny] 0.300 0.300

Mean roughness, Ra, tooth flank (µm) [RAH] 0.90 0.90

Mean roughness height, Rz, flank (µm) [RZH] 4.80 4.80

Mean roughness height, Rz, root (µm) [RZF] 20.00 20.00

Gear reference profile 1 :

Reference profile (Own input)

Dedendum coefficient [hfP*] 1.250

Root radius factor [rhofP*] 0.380

Addendum coefficient [haP*] 0.970

Tip radius factor [rhoaP*] 0.000

Protuberance height factor [hprP*] 0.000

Protuberance angle [alfprP] 0.000

Tip form height coefficient [hFaP*] 0.000

Ramp angle [alfKP] 0.000

not topping











not topping

Summary of reference profile gears:

Dedendum reference profile [hfP*] 1.250 1.250

Tooth root radius Reference profile [rofP*] 0.380 0.380

Addendum Reference profile [haP*] 0.970 0.970

Protuberance height factor [hprP*] 0.000 0.000

Protuberance angle (°) [alfprP] 0.000 0.000

Tip form height coefficient [hFaP*] 0.000 0.000

Ramp angle (°) [alfKP] 0.000 0.000

Type of profile modification:

none (only running-in)

Tip relief (µm) [Ca] 2.0 2.0

Lubrication type oil injection lubrication

Type of oil (Own input) Oil:

Lubricant base Mineral-oil base

Kinem. viscosity oil at 40 °C (mm²/s) [nu40] 210.00



FZG test A/8.3/90 ( ISO 14635-1:2006) [FZGtestA] 12

Specific density at 15 °C (kg/dm³) [roOil] 0.895

Oil temperature (°C) [TS] 90.000

------- GEAR 1 -------- GEAR 2 –

Overall transmission ratio [itot] -1.000

Gear ratio [u] 1.000

Transverse module (mm) [mt] 10.930

Pressure angle at pitch circle (°) [alft] 20.000

Working transverse pressure angle (°) [alfwt] 22.426

[alfwt.e/i] 22.460 / 22.460

Working pressure angle at normal section (°) [alfwn] 22.426

Helix angle at operating pitch circle (°) [betaw] 0.000

Base helix angle (°) [betab] 0.000

Reference centre distance (mm) [ad] 196.740

Sum of profile shift coefficients [Summexi] 0.3159

Profile shift coefficient [x] 0.1580 0.1579

Tooth thickness (Arc) (module) (module) [sn*] 1.6858 1.6858

Tip alteration (mm) [k*mn] 0.000 0.000

Reference diameter (mm) [d] 196.740 196.740

Base diameter (mm) [db] 184.875 184.875

Tip diameter (mm) [da] 221.400 221.400

(mm) [da.e/i] 221.400 / 221.400 221.400 / 221.400

Tip diameter allowances (mm) [Ada.e/i] 0.000 / 0.000 0.000 / 0.000

Tip form diameter (mm) [dFa] 221.400 221.400

(mm) [dFa.e/i] 221.400 / 221.400 221.400 / 221.400

Active tip diameter (mm) [dNa] 221.400 221.400

Active tip diameter (mm) [dNa.e/i] 221.400 / 221.400 221.400 / 221.400

Operating pitch diameter (mm) [dw] 200.000 200.000

(mm) [dw.e/i] 200.050 / 200.050 200.050 / 200.050

Root diameter (mm) [df] 172.869 172.867

Generating Profile shift coefficient [xE.e/i] 0.1580/ 0.1580 0.1579/ 0.1579

Manufactured root diameter with xE (mm) [df.e/i] 172.869 / 172.869 172.867 / 172.867

Theoretical tip clearance (mm) [c] 2.866 2.866

Effective tip clearance (mm) [c.e/i] 2.916 / 2.916 2.916 / 2.916

Active root diameter (mm) [dNf] 187.419 187.419

(mm) [dNf.e/i] 187.463 / 187.463 187.463 / 187.463

Root form diameter (mm) [dFf] 185.366 185.365

(mm) [dFf.e/i] 185.366 / 185.366 185.365 / 185.365

Reserve (dNf-dFf)/2 (mm) [cF.max/min] 1.049 / 1.049 1.049 / 1.049

Addendum (mm) [ha=mn*(haP*+x)] 12.330 12.330

(mm) [ha.e/i] 12.330 / 12.330 12.330 / 12.330

Dedendum (mm) [hf=mn*(hfP*-x)] 11.936 11.936

(mm) [hf.e/i] 11.936 / 11.936 11.936 / 11.936

Roll angle at dFa (°) [xsi_dFa.e/i] 37.753 / 37.753 37.753 / 37.753

Roll angle to dNa (°) [xsi_dNa.e/i] 37.753 / 37.753 37.753 / 37.753

Roll angle to dNf (°) [xsi_dNf.e/i] 9.620 / 9.620 9.620 / 9.620

Roll angle at dFf (°) [xsi_dFf.e/i] 4.176 / 4.176 4.175 / 4.175

Tooth height (mm) [H] 24.266 24.266

Virtual gear no. of teeth [zn] 18.000 18.000

Normal tooth thickness at tip cylinder (mm) [san] 7.143 7.143

(mm) [san.e/i] 7.143 / 7.143 7.143 / 7.143

Normal spacewidth at root cylinder (mm) [efn] 0.000 0.000

(mm) [efn.e/i] 0.000 / 0.000 0.000 / 0.000

Max. sliding velocity at tip (m/s) [vga] 14.300 14.300


Specific sliding at the tip [zetaa] 0.747 0.747

Specific sliding at the root [zetaf] -2.958 -2.958

Mean specific sliding [zetam] 0.747

Sliding factor on tip [Kga] 0.455 0.455

Sliding factor on root [Kgf] -0.455 -0.455

Pitch on reference circle (mm) [pt] 34.338

Base pitch (mm) [pbt] 32.267

Transverse pitch on contact-path (mm) [pet] 32.267

Length of path of contact (mm) [ga, e/i] 45.519 ( 45.388 / 45.388)

Length T1-A, T2-A (mm) [T1A, T2A] 15.389( 15.520/ 15.520) 60.908( 60.908/ 60.908)

Length T1-B (mm) [T1B, T2B] 28.641( 28.641/ 28.641) 47.655( 47.786/ 47.786)

Length T1-C (mm) [T1C, T2C] 38.148( 38.214/ 38.214) 38.148( 38.214/ 38.214)

Length T1-D (mm) [T1D, T2D] 47.655( 47.786/ 47.786) 28.641( 28.641/ 28.641)

Length T1-E (mm) [T1E, T2E] 60.908( 60.908/ 60.908) 15.389( 15.520/ 15.520)

Length T1-T2 (mm) [T1T2] 76.297 ( 76.428 / 76.428)

Diameter of single contact point B (mm) [d-B] 193.546( 193.546/ 193.546) 207.998( 208.118/ 208.118)

Diameter of single contact point D (mm) [d-D] 207.998( 208.118/ 208.118) 193.546( 193.546/ 193.546)

Addendum contact ratio [eps] 0.705( 0.703/ 0.703) 0.705( 0.703/ 0.703)

Minimal length of contact line (mm) [Lmin] 21.400

Transverse contact ratio [eps_a] 1.411

Transverse contact ratio with allowances [eps_a.e/m/i] 1.407 / 1.407 / 1.407

Overlap ratio [eps_b] 0.000

Total contact ratio [eps_g] 1.411

Total contact ratio with allowances [eps_g.e/m/i] 1.407 / 1.407 / 1.407

2. FACTORS OF GENERAL INFLUENCE

------- GEAR 1 -------- GEAR 2 –

Nominal circum. force at pitch circle (N) [Ft] 19091.2

Axial force (N) [Fa] 0.0

Radial force (N) [Fr] 6948.6

Normal force (N) [Fnorm] 20316.4

Tangent.load at p.c.d.per mm (N/mm) (N/mm) [w] 892.11

Only as information: Forces at operating pitch circle:

Nominal circumferential force (N) [Ftw] 18780.0

Axial force (N) [Faw] 0.0

Radial force (N) [Frw] 7750.4

Circumferential speed reference circle (m/s) [v] 30.90

Circumferential speed operating pitch circle (m/s)

[v(dw)] 31.42

Running-in value (µm) [yp] 0.7

Running-in value (µm) [yf] 0.9

Correction coefficient [CM] 0.800

Gear body coefficient [CR] 1.000

Reference profile coefficient [CBS] 0.975

Material coefficient [E/Est] 1.000

Singular tooth stiffness (N/mm/µm) [c'] 11.832

Meshing stiffness (N/mm/µm) [cgalf] 15.477

Meshing stiffness (N/mm/µm) [cgbet] 13.155

Reduced mass (kg/mm) [mRed] 0.06767

Resonance speed (min-1) [nE1] 8023

User specified factor KV:


Dynamic factor [KV] 1.150

User specified factor KHb:

Face load factor - flank [KHb] 1.100

- Tooth root [KFb] 1.068

- Scuffing [KBb] 1.100

User specified factor KHa:

Transverse load factor - flank [KHa] 1.000

- Tooth root [KFa] 1.000

- Scuffing [KBa] 1.000

Helical load factor scuffing [Kbg] 1.000

Number of load cycles (in mio.) [NL] 3600.000 3600.000

























Calculation of speeds, load distribution and flank curvature according to method B following ISO 15144-

1:2010






Example 2 Here XCa calculated using Method A! KISSsoft Release 03/2014 E


File

Name : 15144-2_Expl2(2014)


CALCULATION OF A CYLINDRICAL SPUR GEAR PAIR


Gear 1: 0.000.0

Gear 2: 0.000.0


------- GEAR 1 -------- GEAR 2 --

Power (kW) [P] 251.327

Speed (1/min) [n] 1000.0 1000.0

Torque (Nm) [T] 2400.0 2400.0






DIN 3960:1987)

------- GEAR 1 -------- GEAR 2 –


Centre distance tolerance No backlash






Hand of gear Spur gear




Material






------- GEAR 1 -------- GEAR 2 –






















not topping











not topping










none (only running-in)











------- GEAR 1 -------- GEAR 2 –






[alfwt.e/i] 20.000 / 20.000












(mm) [da.e/i] 220.000 / 220.000 220.000 / 220.000



(mm) [dFa.e/i] 220.000 / 220.000 220.000 / 220.000




(mm) [dw.e/i] 200.000 / 200.000 200.000 / 200.000







(mm) [dNf.e/i] 189.274 / 189.274 189.274 / 189.274


(mm) [dFf.e/i] 188.201 / 188.201 188.201 / 188.201



(mm) [ha.e/i] 10.000 / 10.000 10.000 / 10.000


(mm) [hf.e/i] 12.500 / 12.500 12.500 / 12.500








(mm) [san.e/i] 6.949 / 6.949 6.949 / 6.949


(mm) [efn.e/i] 0.000 / 0.000 0.000 / 0.000













Length T1-B (mm) [T1B, T2B] 27.661( 27.661/ 27.661) 40.743( 40.743/ 40.743)

Length T1-C (mm) [T1C, T2C] 34.202( 34.202/ 34.202) 34.202( 34.202/ 34.202)

Length T1-D (mm) [T1D, T2D] 40.743( 40.743/ 40.743) 27.661( 27.661/ 27.661)

Length T1-E (mm) [T1E, T2E] 57.182( 57.182/ 57.182) 11.222( 11.222/ 11.222)

Length T1-T2 (mm) [T1T2] 68.404 ( 68.404 / 68.404)











------- GEAR 1 -------- GEAR 2 –












[v(dw)] 10.47






















































9. DETERMINATION OF TOOTHFORM

Profile and tooth trace modifications for gear 1

Symmetric (both flanks)

- Tip relief, linear Caa = 90.000µm LCa = 0.822*mn dCa = 212.004mm







File

Name : 15144-2_Expl3(No Opt Ca)


CALCULATION OF A HELICAL GEAR PAIR


Gear 1: 0.000.0

Gear 2: 0.000.0


------- GEAR 1 -------- GEAR 2 --

Power (kW) [P] 1256.637

Speed (1/min) [n] 3000.0 2911.8

Torque (Nm) [T] 4000.0 4121.2






DIN 3960:1987)

------- GEAR 1 -------- GEAR 2 –


Centre distance tolerance No backlash






Hand of gear right left




Material





------- GEAR 1 -------- GEAR 2 –























not topping











not topping










for high load capacity gearboxe



Type of oil (Own input) Öl:








------- GEAR 1 -------- GEAR 2 –






[alfwt.e/i] 21.122 / 21.122





Sum of profile shift coefficients [Summexi] -0.0001

Profile shift coefficient [x] 0.0000 -0.0001






(mm) [da.e/i] 166.610 / 166.610 171.390 / 171.390



(mm) [dFa.e/i] 166.610 / 166.610 171.390 / 171.390




(mm) [dw.e/i] 157.612 / 157.612 162.388 / 162.388


Generating Profile shift coefficient [xE.e/i] -0.0031/ -0.0031 -0.0031/ -0.0031





(mm) [dNf.e/i] 151.162 / 151.162 155.916 / 155.916


(mm) [dFf.e/i] 150.411 / 150.411 155.131 / 155.131



(mm) [ha.e/i] 4.499 / 4.499 4.501 / 4.501


(mm) [hf.e/i] 5.639 / 5.639 5.639 / 5.639








(mm) [san.e/i] 3.411 / 3.411 3.418 / 3.418


(mm) [efn.e/i] 0.000 / 0.000 0.000 / 0.000











Lead height (mm) [pz] 1392.241 1434.431

Axial pitch (mm) [px] 42.189



Length T1-B (mm) [T1B, T2B] 25.192( 25.192/ 25.192) 32.463( 32.463/ 32.463)

Length T1-C (mm) [T1C, T2C] 28.398( 28.398/ 28.398) 29.258( 29.258/ 29.258)

Length T1-D (mm) [T1D, T2D] 31.562( 31.562/ 31.562) 26.093( 26.093/ 26.093)

Length T1-E (mm) [T1E, T2E] 39.189( 39.189/ 39.189) 18.467( 18.467/ 18.467)

Length T1-T2 (mm) [T1T2] 57.656 ( 57.656 / 57.656)











------- GEAR 1 -------- GEAR 2 –












[v(dw)] 24.76




























- Tip relief, linear with transition radius Caa = 50.000µm LCa = 0.960*mn dCa = 162.767mm







File

Name : 15144-2_Expl4(No Opt Ca) Updated as Part2-2012


CALCULATION OF A HELICAL GEAR PAIR Drawing or article number:

Gear 1: 0.000.0

Gear 2: 0.000.0


------- GEAR 1 -------- GEAR 2 --

Power (kW) [P] 934.953

Speed (1/min) [n] 530.9 166.4

Torque (Nm) [T] 16817.0 53654.2



Gear driving (+) / driven (-) - +



DIN 3960:1987)

------- GEAR 1 -------- GEAR 2 –


Centre distance allowances (mm) [Aa.e/i] 0.050 / 0.050





Facewidth (mm) [b] 185.00 185.00

Hand of gear right left




Material





------- GEAR 1 -------- GEAR 2 –























not topping











not topping










for high load capacity gearboxe











------- GEAR 1 -------- GEAR 2 –






[alfwt.e/i] 22.755 / 22.755












(mm) [da.e/i] 195.000 / 195.000 576.300 / 576.300



(mm) [dFa.e/i] 195.000 / 195.000 576.300 / 576.300




(mm) [dw.e/i] 176.138 / 176.138 561.963 / 561.963







(mm) [dNf.e/i] 165.820 / 165.820 547.809 / 547.809


(mm) [dFf.e/i] 165.202 / 165.202 544.515 / 544.515



(mm) [ha.e/i] 10.736 / 10.736 11.333 / 11.333


(mm) [hf.e/i] 7.440 / 7.440 6.868 / 6.868








(mm) [san.e/i] 4.551 / 4.551 5.749 / 5.749


(mm) [efn.e/i] 0.000 / 0.000 5.634 / 5.634











Lead height (mm) [pz] 2107.946 6725.352

Axial pitch (mm) [px] 100.378



Length T1-B (mm) [T1B, T2B] 40.854( 40.983/ 40.983) 101.763( 101.763/ 101.763)

Length T1-C (mm) [T1C, T2C] 34.034( 34.064/ 34.064) 108.583( 108.682/ 108.682)

Length T1-D (mm) [T1D, T2D] 29.650( 29.650/ 29.650) 112.967( 113.096/ 113.096)

Length T1-E (mm) [T1E, T2E] 16.555( 16.684/ 16.684) 126.062( 126.062/ 126.062)

Length T1-T2 (mm) [T1T2] 142.617 ( 142.746 / 142.746)











------- GEAR 1 -------- GEAR 2 –












[v(dw)] 4.90























































- Tip relief, linear with transition radius Caa = 25.000µm LCa = 0.818*mn dCa = 188.096mm




- End relief I CbI = 50.000µm LCI = 0.189*b

- End relief II CbII = 50.000µm LCII = 0.189*b

iso15144-2: examples 1 to 4, using method a and b · iso15144-2: examples 1 to 4, using method a...

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