Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 455-460 .doi: https://doi.org/10.1007/s10483-007-0405-z

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Reconstruction of probabilistic S-N curves under fatigue life following lognormal distribution with given confidence

ZHAO Yong-xiang, YANG Bing, PENG Jia-chun   

  1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, P. R. China
  • Received:2005-12-13 Revised:2007-01-30 Online:2007-04-18 Published:2007-04-18
  • Contact: ZHAO Yong-xiang

Abstract: When the historic probabilistic S-N curves are given under special survival probability and confidence levels and there is no possible to re-test, fatigue reliability analysis at other levels can not be done except for the special levels. Therefore, the wide applied curves are expected. Monte Carlo reconstruction methods of the test data and the curves are investigated under fatigue life following lognormal distribution. To overcome the non-conservative assessment of existent man-made enlarging the sample size up to thousands, a simulation policy is employed to address the true production where the sample size is controlled less than 20 for material specimens, 10 for structural component specimens and the errors matching the statistical parameters are less than 5 percent. Availability and feasibility of the present methods have been indicated by the reconstruction practice of the test data and curves for 60Si2Mn high strength spring steel of railway industry.

2010 MSC Number: 

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