Investigating Behavior of Slider–Crank Mechanisms with Bearing Failures Using Vibration Analysis Techniques
Abstract
:1. Introduction
2. Mathematical Model
2.1. System Modeling for the Ball Bearings
2.2. Calculating the Forces
2.3. MATLAB Program to Determine the State Variables for Roller Bearings
2.4. System Modeling for the Roller Bearings
2.5. The MATLAB Program to Determine the Frequency Range
3. Experimental Setup
3.1. Experiment Equipment
3.2. Experimental Procedure
3.3. Inducing Damage
3.4. Data Acquisition and Accelerometer
4. Results and Discussions
4.1. Results for the Analysis of Defect in Ball Bearing
4.2. Results for the Analysis of Defects of Needle Roller Bearing
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Quantities | Values |
---|---|
Hertzian contact load | |
Radial clearance | |
Radial load | |
Damping coefficient | |
Mass of outer race | |
For inner race | |
Shaft speed | |
Relative cage speed | |
Length of defect | |
Angular length of defect | |
Height of defect | |
For outer race | |
Shaft speed | |
Cage speed | |
Length of defect | |
Angular length of defect | |
Height of defect | |
For rolling element | |
Shaft speed | |
Cage speed | |
Length of defect | |
Average angular length of defect | |
Height of defect | |
Initial displacement in | |
Initial velocity in | |
Initial displacement in | |
Initial velocity in | |
Time for simulation | |
Time step |
Quantity | Values |
---|---|
Crank radius | 24.5 mm |
Connection rod length | 94 m |
Rolling element diameter | 2.5 mm |
Pitch diameter | 27.5 m |
Number of rolling element | 20 |
Inter-impact angular distance | 0.314159265 |
Shaft speed for crack pin defect | 314 rpm |
Shaft speed for connecting rod defect | 313 rpm |
Setup Class | Bearing Spectrum |
---|---|
Quantity | Acceleration |
HP/LP Filter | 1000/40,000 |
Frequency | 400 Hz |
Line No. | 800 |
Window | Hanning |
Envelope | On |
Averages | 3 (Linear) |
Defect Types | Calculated Defective Operating Frequency | Experimental Frequency |
---|---|---|
Inner race defect | 21.83 Hz | 21.5 Hz |
Outer race defect | 13.21 Hz | 13 Hz |
Ball defect | 9.18 Hz | 9.5 Hz |
Defect Types | Calculated Defective Frequency Range | Experimental Defective Frequency Range |
---|---|---|
Pin defect | 137–167 Hz | 138–164 Hz |
Connecting rod defect | 14–82 Hz | 15–79 Hz |
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Ghazwani, M.H.; Pham, V.V. Investigating Behavior of Slider–Crank Mechanisms with Bearing Failures Using Vibration Analysis Techniques. Mathematics 2024, 12, 544. https://doi.org/10.3390/math12040544
Ghazwani MH, Pham VV. Investigating Behavior of Slider–Crank Mechanisms with Bearing Failures Using Vibration Analysis Techniques. Mathematics. 2024; 12(4):544. https://doi.org/10.3390/math12040544
Chicago/Turabian StyleGhazwani, Mofareh Hassan, and Van Vinh Pham. 2024. "Investigating Behavior of Slider–Crank Mechanisms with Bearing Failures Using Vibration Analysis Techniques" Mathematics 12, no. 4: 544. https://doi.org/10.3390/math12040544
APA StyleGhazwani, M. H., & Pham, V. V. (2024). Investigating Behavior of Slider–Crank Mechanisms with Bearing Failures Using Vibration Analysis Techniques. Mathematics, 12(4), 544. https://doi.org/10.3390/math12040544