Monte Carlo Simulation of Sudden Death Bearing Testing

Monte Carlo simulations combined with sudden death testing were used to compare resultant bearing lives to the calculated bearing life and the cumulative test time and calendar time relative to sequential and censored sequential testing. A total of 30,960 virtual 50-mm bore deep-groove ball bearings were evaluated in 33 different sudden death test configurations comprising 36, 72, and 144 bearings each. Variations in both life and Weibull slope were a function of the number of bearings failed independent of the test method used and not the total number of bearings tested. Variations in L 10 life as a function of number of bearings failed were similar to variations in life obtained from sequentially failed real bearings and from Monte Carlo (virtual) testing of entire populations. Reductions up to 40% in bearing test time and calendar time can be achieved by testing to failure or the L 50 life and terminating all testing when the last of the predetermined bearing failures has occurred. Sudden death testing is not a more efficient method to reduce bearing test time or calendar time when compared to censored sequential testing.

[1]  Luc Houpert An Engineering Approach to Confidence Intervals and Endurance Test Strategies , 2002 .

[2]  Robert C. Hendricks,et al.  Determination of Rolling-Element Fatigue Life From Computer Generated Bearing Tests , 2003 .

[3]  A. Cohen,et al.  Maximum Likelihood Estimation in the Weibull Distribution Based On Complete and On Censored Samples , 1965 .

[4]  J. Bert Keats,et al.  A comparison of three estimators of the Weibull parameters , 2001 .

[5]  William Q. Meeker,et al.  The Modified Sudden Death Test: Planning Life Tests with a Limited Number of Test Positions , 1998 .

[6]  Ji McCool Analysis of sets of two-parameter Weibull data arising in rolling contact endurance testing , 1982 .

[7]  W. Weibull A statistical theory of the strength of materials , 1939 .

[8]  Dimiter Dobrev,et al.  Computer Simulation , 1966, J. Inf. Process. Cybern..

[9]  T. A. Harris,et al.  On the Accuracy of Rolling Bearing Fatigue Life Prediction , 1996 .

[10]  A. Palmgren,et al.  Dynamic capacity of rolling bearings , 1947 .

[11]  M. J O'Brien,et al.  Failure analysis of three Si3N4 balls used in hybrid bearings , 2003 .

[12]  Sigmund J. Amster,et al.  The Statistical Treatment of Fatigue Experiments , 1964 .

[13]  W. Anderson,et al.  NASA Five-Ball Fatigue Tester—Over 20 Years of Research , 1982 .

[14]  W. Weibull A Statistical Distribution Function of Wide Applicability , 1951 .

[15]  A. J. Watkins On expectations associated with maximum likelihood estimation in the Weibull distribution , 1998 .

[16]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[17]  Erwin V. Zaretsky STLE life factors for rolling bearings , 1992 .

[18]  W. Weibull,et al.  The phenomenon of rupture in solids , 1939 .