Monte Carlo comparison of Weibull two and three parameters in the context of the statistical analysis of rolling bearings fatigue testing

ASTM Special Technical Publication

Volumn 1548 STP, Issue , 2012, Pages 382-407

  Blachère, Sébastien ^a   Gabelli, Antonio ^a  

^a SKF ENGINEERING AND RESEARCH CENTRE   (Netherlands)

Author keywords

Endurance tests; Monte Carlo simulations; Rolling bearing life; Rolling contact fatigue; Statistical estimation; Weibull

Indexed keywords

BEARINGS (MACHINE PARTS); ESTIMATION; FAILURE ANALYSIS; FATIGUE TESTING; FINANCIAL DATA PROCESSING; FRICTION; MONTE CARLO METHODS; STATISTICAL TESTS; STEEL RESEARCH; WEIBULL DISTRIBUTION;

ENDURANCE TEST; MONTE CARLO SIMULATION; ROLLING BEARING LIFE; ROLLING CONTACT FATIGUE; STATISTICAL ESTIMATION; WEIBULL;

PARAMETER ESTIMATION;

EID: 84873400856     PISSN: 00660558     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1520/STP104519     Document Type: Conference Paper

References (27)

1. Lundberg, G., and Palmgren, A., "Dynamic Capacity of Rolling Bearings," IVA Handl., Vol. 196, 1947, pp. 17.
2. Ioannides, E., Bergling, G., and Gabelli, A., "An Analytical Formulation for the Life of Rolling Bearings," Acta Polytech. Scand., Mech. Eng. Ser., Vol. 137, 1999, pp. 9-12, 21-24.
3. Weibull, W., "A Statistical Theory of the Strength of Materials," Ingeniors Etanskaps Akademien. Handl., Vol. 151, 1939, pp. 45.
4. Lieblein, J., and Zelen, M., "Statistical Investigation of the Fatigue Life of. Deep-Groove Ball Bearings," J. Res. Natl. Bur. Stand., Vol. 57, No. 5, 1956, pp. 273-316.
5. Weibull, W., "A Statistical Distribution Function of Wide Applicability," J. Appl. Mech., Vol. 18, No. 3, 1951, pp. 293-297.
6. McCool, J. I., "Evaluating Weibull Endurance Data by the Method of Maximum Likelihood," ASLE Trans., Vol. 13, No. 3, 1970, pp. 189-202.
7. McCool, J. I., "Analysis of Sudden Death Tests of Bearing Endurance," ASLE Trans., Vol. 17, No. 1, 1973, pp. 8-13.
8. McCool, J. I., "Using Weibull Regression to Estimate the Load-Life Relationship for Rolling Bearings," ASLE Trans., Vol. 29, No. 1, 1986, pp. 91-101.
9. Andersson, T., "Endurance Testing in Theory," Ball Bearing J., Vol. 217, 1983, pp. 12-23.
10. Tallian, T. E., "Weibull Distribution of Rolling Contact Fatigue Life and Deviation Therefrom," ASLE Trans., Vol. 5, 1962, pp 183-197.
11. Tallian, T. E., "Rolling Contact Fatigue," Ball Bearing J., Vol. 217, 1983, pp. 6-13.
12. Snare, B., "How Reliable Are Bearings?" Ball Bearing J., Vol. 162, 1970, pp. 3-5.
13. Bergling, G., "The Operational Reliability of Rolling Bearings," Ball Bearing J., Vol. 188, 1976, pp. 1-10.
14. Takata, H., Suzuki, S., and Maeda, E. "Experimental Study of the Life Adjustment Factor for Reliability of Rolling Element Bearings," Proceedings of the JSLE International Tribology Conference, October 7-8, 1985, Tokyo, Japan, Elsevier, New York, 1986, pp. 603-608.
15. Harris, T. A., Rolling Bearing Analysis, Wiley, New York, 1991, pp. 757-758.
16. Kotzalas, M. N., "Statistical Distribution of Tapered Roller Bearing Fatigue Lives at High Levels of Reliability," J. Tribol., Vol. 127, No. 4, 2005, pp. 865-870. (Pubitemid 41542116)
17. Shimizu S., "P-S-N/P-F-L Curve Approach Using 3-Parameter Weibull Distribution for Life and Fatigue Analysis of Structural and Rolling Contact Component," STLE Tribol. Trans., Vol. 48, 2005, pp 576-582. (Pubitemid 44214735)
18. Shimizu, S., Shimoda, H., and Tosha, K., "Study on the Life Distribution and Reliability of Roller-Based Linear Bearing," STLE Tribol. Trans., Vol. 51, No. 4, 2008, pp. 446-453.
19. Sadeghi, F., Jalalahmadi, B., Slack, T. S., Raje, N., and Arakere, N. K., "A Review of Rolling Contact Fatigue," J. Tribol., Vol. 131, 2009, 041403.
20. McCool, J. I., and Valori, R., "Evaluating the Validity of Rolling Contact Fatigue Test Results," Tribol. Trans., Vol. 52, No. 2, 2009, pp. 223-230.
21. Harris, T. A., and McCool, J. I., "On the Accuracy of Rolling Bearing Fatigue Life Prediction," J. Tribol., Vol. 118, No. 4, 1996, pp. 297-310.
22. Vlcek, B. L., Hendricks, R. C., and Zaretsky, E. V., "Monte Carlo Simulation of Sudden Death Bearing Testing," Tribol. Trans., Vol. 47, No. 2, 2004, pp. 188-199.
23. Vlcek, B. L., and Zaretsky, E. V., "Rolling-Element Fatigue Testing and Data Analysis - A Tutorial," Tribol. Trans., Vol. 54, No. 4, 2011, pp. 523-541.
24. Shitsukawa, K., and Shibata, M., "Effectiveness of New Weibull Analysis Method of Life Data Including Suspended Ones," Koyo Eng. J. (English Edition), Vol. 158e, 2001, pp. 9-14.
25. Fujita, T., "Test Design and Result Interpolation Method for Evaluating Rolling Contact Fatigue Life to Maintain Both Efficiency and Reliability," NTN Tech. Rev. (English Edition), No. 76, 2008, pp. 32-39.
26. ISO 281, "Rolling Bearings-Dynamic Load Ratings and Rating Life," 2nd ed., International Organization for Standardization, Geneva, Switzerland, 2007.
27. ISO/TR 1281-1, "Rolling bearings-Explanatory Notes on ISO 281-Part 2: Modified Rating Life Calculation, Based on a Systems Approach to Fatigue Stresses," International Organization for Standardization, Geneva, Switzerland, 2008.