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A Method for Multiaxial Fatigue Reliability Analysis Based on Mixed Weibull Distribution

[+] Author Affiliations
Dan Ling, Hong-Zhong Huang, Song Wang, Chuan-hao Wu, Shun-peng Zhu, Xiao-Ling Zhang

University of Electronic Science and Technology of China, Chengdu, Sichuan, China

Paper No. DETC2013-12970, pp. V008T12A004; 5 pages
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5599-7
  • Copyright © 2013 by ASME


The fatigue life of mechanical element is a random variable in nature following some kind of statistical distribution.

In this paper, a method for reliability life prediction considering life randomness is proposed. Firstly, the Smith-Watson-Topper (SWT) model is used to describe the relationship of the maximum normal stress and strain range on the critical plane. Secondly, the maximum normal stress and strain range on the critical plane are calculated by finite element analysis. Thirdly, fatigue life samples are generated using Monte Carlo simulation method, and the mixed Weibull distribution is used to model the distribution of fatigue life of turbine discs. Finally, the proposed method is validated by comparing the prediction results from the proposed method, the observed cumulative failure probability based on median rank, and the standard two-parameter Weibull distribution.

Copyright © 2013 by ASME



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