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

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