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베이지언 추론에 기반한 확률론적 피로수명 평가

Stochastic Fatigue Life Assesment based on Bayesian-inference

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초록

In general, fatigue analysis is performed by using deterministic model to estimate the optimal parameters. However, the deterministic model is difficult to clearly describe the physical phenomena of fatigue failure that contains many uncertainty factors. With regard to this, efforts have been made in this research to compare with the deterministic model and the stochastic models. Firstly, One deterministic S-N curve was derived from ordinary least squares technique and two P-S-N curves were estimated through Bayesian-linear regression model and Markov-Chain Monte Carlo simulation. Secondly, the distribution of Long-term fatigue damage and fatigue life were predicted by using the parameters obtained from the three methodologies and the long-term stress distribution.

Abstract

In general, fatigue analysis is performed by using deterministic model to estimate the optimal parameters. However, the deterministic model is difficult to clearly describe the physical phenomena of fatigue failure that contains many uncertainty factors. With regard to this, efforts have been made in this research to compare with the deterministic model and the stochastic models. Firstly, One deterministic S-N curve was derived from ordinary least squares technique and two P-S-N curves were estimated through Bayesian-linear regression model and Markov-Chain Monte Carlo simulation. Secondly, the distribution of Long-term fatigue damage and fatigue life were predicted by using the parameters obtained from the three methodologies and the long-term stress distribution.

참고문헌 (13)

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  2. Guida, M., "A Bayesian analysis of fatigue data", Structural Safety, 32(1), pp.64~76 (2009)
  3. Hamada, M.S., "Bayesian reliability" (2008), Springer
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  5. Liu, X.W., "Hierarchical Bayesian fatigue data analysis", International Journal of Fatigue, 100(1), pp.418~428 (2017)
  6. Estimating an inverse gamma distribution, "Llera, A.", Donders Institute, ~, pp.Technical Report arXiv:1605.01019v2 (2016)
  7. Marin, J.M., "Bayesian core:a practical approach to computational Bayesian statistics" (2007), Springer
  8. Roberts, G.O., "Optimal scaling for various metropolis-hastings algorithms", Statistical Science, 16(4), pp.351~367 (2001)
  9. Rose, C., "Mathematical statistics with mathematica" (2002), Springer
  10. Ruano, J. C., "A Bayesian approach to fatigue damage assessment in composite materials", Ph.D., pp.2014
  11. Kang, S.W., "Testing and analysis of fatigue behavior in edge details", Proceedings of OMAE Specialty Conference on Integrity of Floating Production, Storage & Offloading (FPSO) Systems (2004)
  12. Yang, P.D.C., "Fatigue strength analysis and reliability analysis of D", H VLCC, 1997, pp.34(2), 64~74
  13. Yang, Y.S., "A study on the fatigue reliability of structures by Markov Chain model", Transactions of the Society of Naval Architects of Korea, 28(2), pp.228~240 (1991)

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