Table 1 Parameters of the Gear-Bearing system Model.

From: Reliability analysis of gear-bearing drive systems considering gear manufacturing and installation errors

Physical parameters

Variable

Value

Number of teeth of wheel

\({Z_p}\),\({Z_g}\)

20

Modulus (mm)

\(m\)

30

Elastic modulus (Gpa)

\(E\)

206

Standard pressure angle (°)

\({\alpha _0}\)

20

Tooth width (mm)

\(B\)

22

Standard center distance (mm)

\({L_0}\)

200

Static transmission error (µm)

\({e_a}\)

20

Mass of wheel(kg)

\({m_p}\),\({m_g}\)

6.57

Moment of inertia (\(kg*{m^2}\))

\({J_p}\),\({J_g}\)

0.0365

Damping factor

\({\xi _{\text{m}}}\)

0.07

Torque average(N/m)

\({T_{o1}}\),\({T_{o2}}\)

300

Torque amplitude(N/m)

\({T_{a1}}\),\({T_{a2}}\)

100

Initial half tooth clearance measurement (µm)

\({b_0}\)

50

Gravitational acceleration (\(N/{m^2}\))

\(g\)

9.85

Standard contact ratio

\({m_p}\)

1.557

Inner circle radius (mm)

\({r_{\text{i}}}\)

10

Outer circle radius (mm)

\({r_o}\)

23.5

Bearing widths (mm)

B

14

Number of balls

\({N_b}\)

10

Bearing damping (\(N*s/m\))

\({c_b}\)

512.64

Hertz contact stiffness (\(N/m\))

\({K_b}\)

2*10^8