Identification of Subsurface Mesoscale Crack in Full Ceramic Ball Bearings Based on Strain Energy Theory
Abstract
:1. Introduction
2. Dynamic Models Containing Subsurface Mesoscale Fault
2.1. Stiffness Weakening Coefficient and Strain Energy Release Rate
2.2. FCBB Outer Ring Contact Load
2.3. Time-Varying Stiffness and Dynamic Model for Subsurface Crack Locations in Full Ceramic Outer Ring
3. Numerical Simulation
4. Experimental Investigation
5. Discussion
6. Conclusions
- (1)
- This paper proposes a dynamic model based on the strain energy theory of ceramic materials for the failure of mesoscale cracks on the outer ring subsurface of FCBB. Based on this model, the weakening coefficient of the outer ring stiffness of bearings is found to decrease slowly at first, then comes down sharply, and finally becomes stable. The actual contact stiffness first decreases monotonously, which signifies that the stiffness weakening brought about by the cracks is fatal.
- (2)
- When there are mesoscale cracks in FCBB, small periodic wave peak is seen in the vibration time-domain signal, and the height of the wave peak increases with the radial length of the mesoscale cracks. The small wave peak is used as a preliminary indication for mesoscale cracks, and the height of small wave peaks reflects the degrees of crack evolution.
- (3)
- The subsurface mesoscale cracks also lead to changes in frequency-domain results of the FCBB dynamic response, and a special characteristic frequency appears near the rotating frequency. The height of its amplitude can be used to indicate the degree of crack evolution, and is more decisive for fault detection and evaluation.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameter | Numerical Value |
---|---|
Outer diameter of bearing outer ring (mm) | 52 |
Inner diameter of bearing outer ring (mm) | 46 |
Inner diameter of bearing inner race (mm) | 20 |
Outer diameter of bearing inner ring (mm) | 26 |
Bearing radial clearance (μm) | 2 |
Bearing width (mm) | 15 |
Contact angle (°) | 0 |
Number of rolling elements | 7 |
Name | Numerical Value |
---|---|
Spindle speed (r/min) | 1800 |
Radial load Fr (N) | 50 |
Sampling frequency (Hz) | 3000 |
Outer diameter of bearing outer ring (mm) | 50.8 |
Inner diameter of bearing inner ring (mm) | 25.4 |
Bearing width (mm) | 7.144 |
Number of rolling elements | 9 |
Contact angle (°) | 0 |
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Bai, X.; Zhang, Z.; Shi, H.; Luo, Z.; Li, T. Identification of Subsurface Mesoscale Crack in Full Ceramic Ball Bearings Based on Strain Energy Theory. Appl. Sci. 2023, 13, 7783. https://doi.org/10.3390/app13137783
Bai X, Zhang Z, Shi H, Luo Z, Li T. Identification of Subsurface Mesoscale Crack in Full Ceramic Ball Bearings Based on Strain Energy Theory. Applied Sciences. 2023; 13(13):7783. https://doi.org/10.3390/app13137783
Chicago/Turabian StyleBai, Xiaotian, Zhaonan Zhang, Huaitao Shi, Zhong Luo, and Tao Li. 2023. "Identification of Subsurface Mesoscale Crack in Full Ceramic Ball Bearings Based on Strain Energy Theory" Applied Sciences 13, no. 13: 7783. https://doi.org/10.3390/app13137783