Table 1 Physical parameters of a spur gearbox [11]

Number of teeth

19

31

Module (mm)

3.2

3.2

Pressure angle

\(20^{\text{o}}\)

\(20^{\text{o}}\)

Mass (kg)

0.700

1.822

Face width (m)

0.0381

0.0381

Young’s modulus (GPa)

206.8

206.8

Poisson’s ratio

0.3

0.3

Base circle radius (mm)

28.3

46.2

Root circle radius (mm)

26.2

45.2

Bearing stiffness (N/m)

k ₁ = k ₂ = 5.0 × 10⁸

Bearing damping (kg/s)

c ₁ = c ₂ = 4 × 10⁵

Torsional stiffness of shaft coupling (N/m)

k _p  = k _g  = 4.0 × 10⁷

Torsional damping of shaft coupling (kg/s)

c _p  = c _g  = 3 × 10⁴