journal article·2020-11-16Open access

Stress-Based Weibull Method to Select a Ball Bearing and Determine Its Actual Reliability

Baldomero Villa-Covarrubias, Manuel R. Piña-Monarrez, Jesús M. Barraza-Contreras, Manuel Baro-Tijerina

Applied Sciences· Volume 10· Issue 22

Abstract

Since the designed bearing’s reliability of 90% was determined in a lab environment, it does not represent the actual used environment. In this paper, a new methodology to determine the actual reliability that corresponds to the use conditions is offered. This new method is based on the standard method used to select the ball bearing. The proposed method is based on the two parameters of Weibull distribution, where the shape (β) and scale (η) parameters are both determined from the Hertz contact stresses values, which are generated under the surface of the motionless outer race, and by the forces transmitted between the ball and the outer race. Therefore, the derived reliability is different from the 90% index offered by manufacturers.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Advanced machining processes and optimization

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Affiliations

Industrial and Manufacturing Department of the Engineering and Technological Institute, Universidad Autónoma de Ciudad Juárez, Cd. Juárez, Chihuahua 32310, Mexico

References (22)

Show source-provided references
1. Rolling bearing fault diagnosis based on mean multigranulation decision-theoretic rough set and non-naive Bayesian classifier10.1007/s12206-018-1018-7 ↗
2. Comparative study on optimum design of rolling element bearing10.1016/j.triboint.2015.07.034 ↗
3. Diagnosis of bearing defects using tunable Q-wavelet transform10.1007/s12206-018-0102-8 ↗
4. Effect of clearances in rolling element bearings on their dynamic performance, quality and operating life10.1007/s12206-019-0406-y ↗
5. Guo, W., Cao, H., He, Z., and Yang, L. (2015). Fatigue Life Analysis of Rolling Bearings Based on Quasistatic Modeling. Shock Vib., 2015.10.1155/2015/982350 ↗
6. Budynas, R.G., and Nisbett, K. (2015). Shigley’s Mechanical Enginering Desing, McGraw-Hill Education. [10th ed.].
7. Comparison of Models for Ball Bearing Dynamic Capacity and Life
8. Zaretsky, E.V. (2013). Rolling bearing life prediction, theory, and application. NASA Technical Reports, NASA.
9. A. Palmgren revisited-A basis for bearing life prediction
10. Interference-fit life factors for ball bearings10.1080/10402004.2010.512428 ↗
11. In search of a fatigue limit: A critique of ISO Standard 281:2007
12. Hamrock, B.J., and Dowson, D. (1981). Ball Bearing Mechanics. NASA Technical Memorandum, NASA.
13. Aucktor, E., Schmltz, F., and Seherr-Toss, H.C. (1992). Universal Joints and Driveshafts, Springer.10.1007/978-3-662-02746-2 ↗
14. Hertz Contact Stress of Deep Groove Ball Bearing10.1016/j.matpr.2017.11.570 ↗
15. Ueber die Berührung fester elastischer Körper10.1515/crll.1882.92.156 ↗
16. Exploitation of Hertz’s contact pressures in friction drives
17. International Organization for Standardization (2007). ISO 281:2007(E), Rolling Bearings—Dynamic Load Ratings and Rating Life, International Organization for Standardization. [2nd ed.].
18. A Review of Design and Analysis of Angular Contact Ball Bearing for Two Wheeler Clutch
19. Analysis of varying contact angles and load distributions in defective angular contact ball bearing10.1016/j.engfailanal.2018.04.050 ↗
20. Statistical investigation into the effects of distributed roller diameter error on the fatigue life of tapered roller bearings10.1007/s12206-017-1142-9 ↗
21. Wagner, E.R., and Cooney, C.E. (1979). Universal Joint and Driveshaft Desing Manual, Society of Automotive Engineers. [1st ed.]. SAE AE-7.
22. Weibull stress distribution for static mechanical stress and its stress/strength analysis10.1002/qre.2251 ↗