Abstract
Modern rotating machines, which are represented by high-end grinding machines, have developed toward high precision, intelligence, and high durability in recent years. As the core components of grinding machine spindles, grinding wheels greatly affect the vibration level during operation. The unbalance vibration self-recovery regulation (UVSRR) system is proposed to suppress the vibration of grinding wheels during workpiece processing, eliminating or minimizing the imbalance. First, technical principles and the system composition are introduced. Second, the balancing actuator in the UVSRR system is analyzed in detail. The advanced nature of the improved structure is presented through structure introduction and advantage analysis. The performance of the balancing actuator is mutually verified by the theoretical calculation of torque and software simulation. Results show that the self-locking torque satisfies the actual demand, and the driving torque is increased by 1.73 times compared with the traditional structure. Finally, the engineering application value of the UVSRR system is verified by laboratory performance comparison and actual factory application. The balancing speed and effect of the UVSRR system are better than those of an international mainstream product and, the quality of the workpieces machined in the factory improved by 40%.
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Abbreviations
- A g :
-
Effective magnetic pole area
- B r :
-
Remaining magnetic strength of the magnets
- B g :
-
Magnetic induction intensity generated by the magnets
- C :
-
Damping matrix of the spindle system
- F :
-
Total self-locking force
- F 0 :
-
Unbalance fault force on the spindle system
- F 1 :
-
Self-recovery force
- F g :
-
Attraction force between the magnets
- g :
-
Gravitational acceleration
- G :
-
Gyroscopic matrix of the spindle system
- H c :
-
Magnetic coercivity
- J :
-
Rotational inertia of the counterweight discs and its accessories
- K :
-
Number of magnets
- K sf :
-
Safety factor
- K :
-
Stiffness matrix of the spindle system
- m 1, m 2 :
-
Masses of the counterweight blocks 1 and 2, respectively
- m :
-
Mass matrix of the balancing actuator
- M :
-
Mass matrix of the spindle system
- R :
-
Mounting radius of the magnets
- R 1, R 2 :
-
Center of gravity of the counterweight blocks 1 and 2, respectively
- R g :
-
Radius of the magnet
- t :
-
Time
- T s :
-
Total self-locking torque
- T sm :
-
Minimum self-locking torque
- x :
-
Vibration parameter of amplitude and phase of the spindle system
- ẍ :
-
Acceleration of the spindle system
- α :
-
Spindle starting acceleration
- ω :
-
Angular velocity of the spindle system
- φ :
-
Initial phase of the spindle system
- δ 2 :
-
Air gap
- μ :
-
Relative permeability
- μ 0 :
-
Magnetic permeability of air
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 51875031) and the Natural Science Foundation of Beijing, China (Grant No. 3212010).
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Pan, X., Zhang, H., Gao, J. et al. Radial electromagnetic type unbalance vibration self-recovery regulation system for high-end grinding machine spindles. Front. Mech. Eng. 18, 47 (2023). https://doi.org/10.1007/s11465-023-0763-1
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DOI: https://doi.org/10.1007/s11465-023-0763-1