Table 1 Parameters of the Gear-Bearing system Model.
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 |