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]

Sol.1

Pressure angle

α = 12˚

Sol.3

Pressure angle

α = 16˚

Sol.3

Pressure angle

α = 16˚

Sol.3

Pressure angle

α = 22˚

Sol.5

Pressure angle

α = 20˚

Sol.1

Pressure angle

α = 12˚

1st pinion

2nd pinion

3rd pinion

4th pinion

Constant pinion

Rear pinion

Module m

4.4442

3.3707

3.2281

2.8267

3.6172

2.7141

Number of teeth z

14.000

19.000

19.000

19.000

19.000

19.000

Helix angle β

32.000

30.7541

30.7453

30.7284

30.7733

31.6943

Face width b

34.000

33.000

32.000

32.000

32.000

44.000

Pressure angle αt

14.0709

18.4523

18.4507

25.1743

22.9583

14.0261

Centre distance a

80.000

80.000

80.000

79.9735

79.9885

80.000

Transverse contact ratio εα

1.7836

1.6184

1.6296

1.4321

1.4535

1.8913

Overlap ratio εβ

1.6651

Bending stress σF

822.2394

738.8489

754.3754

680.000

366.100

847.6631

Safety factor for bending stress SF

1.2162

1.3535

1.3256

1.4706

2.7314

1.1797

Contact stress σH

921.600

828.500

772.000

801.000

610.700

1141.100

Safety factor for contact stress σH

1.5191

1.6897

1.8134

1.7478

2.2926

1.2269