Author Affiliations
1Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China2University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. Vertical shaft based on angular contact ball bearings
Fig. 2. Gap design of vertical shaft
Fig. 3. Theoretical pressing force model of single nut bolt
Fig. 4. Pressing model of bearing outer ring
Fig. 5. Boundary conditions and nut bolts' pressing force
Fig. 6. Pressing force of bearing outer ring
轴承外圈压紧力
Fig. 7. Deformed cloud diagram of outer end ring
Fig. 8. Deformed cloud diagram of outer end ring (×10)
Fig. 9. Deformed cloud diagram of bearing outer ring I
Fig. 10. Design optimization flow
Fig. 11. Relation between
关系曲线图
Fig. 12. Relation between
关系曲线图
Fig. 13. Relation between
关系曲线图
Fig. 14. Initial state of rotation center axis
Fig. 15. State of shafting after instability
Fig. 16. Three contact conditions under ideal conditions
Fig. 17. Displacement monitoring of shaft with partial load
Fig. 18. Elimination of bearing clearance under Condition II
Fig. 19. Hoisting under partial load
Radial clearance
/mm
| These load/kN | Pre-load
/N
| Axial runout
/mm
| Radial runout
/mm
| Static | Dynamic | −0.01- −0.003 | 154 | 122 | 540 | 0.006 | 0.006 |
|
Table 1. Parameters of bearing
Elastic modulus
/GPa
| Ratio of poisson, μ | Density
/kg·m−3 | 68 | 0.33 | 2770 |
|
Table 2. Material parameters of 2A12/T4
Elastic modulus
/GPa
| Ratio of poisson, μ | Density
/kg·m−3 | 209 | 0.269 | 7890 |
|
Table 3. Material parameters of 45
Elastic modulus
/GPa
| Ratio of poisson, μ | Density
/kg·m−3 | 219 | 0.3 | 7830 |
|
Table 4. Material parameters of GCr15
Condition I | Condition II | Condition III | Load | Unload | Load | Unload | Load | Unload | 0.05 | 0.025 | 0.025 | 0 | 0.03 | 0.002 |
|
Table 5. Displacement of monitoring points with different conditions (Unit: mm)
Condition I | Condition II | Condition III | Test 1 | Test 2 | Test 1 | Test 2 | Test 1 | Test 2 | −19 | −20.5 | +2.7 | +1.9 | +4.8 | +6.1 |
|
Table 6. Biaxial perpendicularity error(Unit: (″))