Solution no 1 (pressure angle α = 12˚) Lower bound Lb =[2 2 2 2 2 2 14 19 19 19 19 19 20 20 20 20 20 30 30 30 30 30 30 40] Upper bound Ub = [7 7 7 7 7 7 14 19 19 19 19 19 32 32 32 32 34 34 34 34 34 34 34 42] Initial condition X0 = [7 7 7 7 7 7 14 19 19 19 19 19 31 31 31 31 31 32 33 33 32 32 32 42] | ||||||
| 1st pinion | 2nd pinion | 3rd pinion | 4th pinion | Constant pinion | Rear pinion |
Module m | 4.4442 | 3.3709 | 3.2283 | 2.8281 | 3.6180 | 2.7141 |
Number of teeth z | 14.000 | 19.000 | 19.000 | 19.000 | 19.000 | 19.000 |
Helix angle β | 32.000 | 30.7483 | 30.7391 | 30.7133 | 30.7645 | 31.6943 |
Face width b | 34.000 | 33.000 | 32.000 | 32.000 | 32.000 | 44.000 |
Pressure angle αt | 14.0709 | 13.8919 | 13.8906 | 13.8871 | 13.8942 | 14.0261 |
Centre distance a | 80.000 | 80.000 | 80.000 | 80.000 | 80.000 | 80.000 |
Transverse contact ratio εα | 1.7836 | 1.8255 | 1.8423 | 1.8895 | 1.7963 | 1.8913 |
Overlap ratio εβ | 1.6651 |
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Bending stress σF | 822.2394 | 679.0009 | 692.3186 | 558.4413 | 314.6310 | 847.6631 |
Safety factor for bending stress SF | 1.2162 | 1.4728 | 1.4444 | 1.7907 | 3.1783 | 1.1797 |
Contact stress σH | 921.600 | 780.1000 | 726.1000 | 697.2000 | 549.2000 | 1141.100 |
Safety factor for contact stress σH | 1.5191 | 1.7946 | 1.9280 | 2.0081 | 2.5490 | 1.2269 |