1 Introduction
2 Mathematical Model of Prestressing of the Ring Gear in Interference Fit
3 Design of Experimental Scheme
Factors | Level 1 | Level 2 | Level 3 | |
---|---|---|---|---|
A | Modulus of ring gear m (mm) | 1 | 2 | 3 |
B | Difference between outer diameter of ring gear and diameter of root circle d (mm) | 10 | 20 | 30 |
C | The transmitted torque M (N·m) | 350 | 450 | 550 |
D | The combined length L (mm) | 20 | 40 | 60 |
Experiment No. | Factors | |||
---|---|---|---|---|
A | B | C | D | |
1 | 1 | 10 | 350 | 20 |
2 | 1 | 20 | 450 | 40 |
3 | 1 | 30 | 550 | 60 |
4 | 2 | 10 | 450 | 60 |
5 | 2 | 20 | 550 | 20 |
6 | 2 | 30 | 350 | 40 |
7 | 3 | 10 | 550 | 40 |
8 | 3 | 20 | 350 | 60 |
9 | 3 | 30 | 450 | 20 |
4 Simulation Based on ABAQUS
4.1 Modelling
4.2 Meshing
4.3 Contact and Boundary Conditions
4.4 Solution
5 Experiment
6 Comparison of the Results
Radius r (mm) | Theoretical prestressing σ1 (MPa) | Simulation prestressing σ2 (MPa) | Experimental prestressing σ3 (MPa) | Average prestressing σa (MPa) | Correction factor YIa1 = σa/σ1 |
---|---|---|---|---|---|
13.0 | 167.31 | 151.18 | 135.29 | 151.26 | 0.904 |
15.5 | 144.70 | 140.53 | 120.38 | 135.20 | 0.934 |
18.0 | 130.27 | 118.57 | 108.07 | 118.97 | 0.913 |
20.5 | 121.42 | 81.58 | 95.83 | 99.61 | 0.820 |
Radius r (mm) | Theoretical prestressing σ1 (MPa) | Simulation prestressing σ2 (MPa) | Experimental prestressing σ3 (MPa) | Average prestressing σa (MPa) | Correction factor YIa8 = σa/σ1 |
---|---|---|---|---|---|
36.5 | 95.66 | 87.07 | 76.73 | 86.49 | 0.904 |
39.5 | 88.58 | 76.44 | 70.18 | 78.40 | 0.885 |
44.5 | 80.10 | 70.35 | 65.05 | 71.83 | 0.897 |
49.5 | 74.05 | 64.03 | 54.60 | 64.23 | 0.867 |