본문 바로가기
KERD
논문KCI 등재

Development of a novel fatigue damage model for Gaussian wide band stress responses using numerical approximation methods

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류조선공학

초록

A significant development has been made on a new fatigue damage model applicable to Gaussian wide band stress response spectra using numerical approximation methods such as data processing, time simulation, and regression analysis. So far, most of the alternative approximate models provide slightly underestimated or overestimated damage results compared with the rain-flow counting distribution. A more reliable approximate model that can minimize the damage differences between exact and approximate solutions is required for the practical design of ships and offshore structures. The present paper provides a detailed description of the development process of a new fatigue damage model. Based on the principle of the Gaussian wide band model, this study aims to develop the best approximate fatigue damage model. To obtain highly accurate damage distributions, this study deals with some prominent research findings, i.e., the moment of rain-flow range distribution MRRðnÞ, the special bandwidth parameter mk, the empirical closed form model consisting of four probability density functions, and the correction factor QC. Sequential prerequisite data processes, such as creation of various stress spectra, extraction of stress time history, and the rain-flow counting stress process, are conducted so that these research findings provide much better results. Through comparison studies, the proposed model shows more reliable and accurate damage distributions, very close to those of the rain-flow counting solution. Several significant achievements and findings obtained from this study are suggested. Further work is needed to apply the new developed model to crack growth prediction under a random stress process in view of the engineering critical assessment of offshore structures. The present developed formulation and procedure also need to be extended to non-Gaussian wide band processes.

Abstract

A significant development has been made on a new fatigue damage model applicable to Gaussian wide band stress response spectra using numerical approximation methods such as data processing, time simulation, and regression analysis. So far, most of the alternative approximate models provide slightly underestimated or overestimated damage results compared with the rain-flow counting distribution. A more reliable approximate model that can minimize the damage differences between exact and approximate solutions is required for the practical design of ships and offshore structures. The present paper provides a detailed description of the development process of a new fatigue damage model. Based on the principle of the Gaussian wide band model, this study aims to develop the best approximate fatigue damage model. To obtain highly accurate damage distributions, this study deals with some prominent research findings, i.e., the moment of rain-flow range distribution MRRðnÞ, the special bandwidth parameter mk, the empirical closed form model consisting of four probability density functions, and the correction factor QC. Sequential prerequisite data processes, such as creation of various stress spectra, extraction of stress time history, and the rain-flow counting stress process, are conducted so that these research findings provide much better results. Through comparison studies, the proposed model shows more reliable and accurate damage distributions, very close to those of the rain-flow counting solution. Several significant achievements and findings obtained from this study are suggested. Further work is needed to apply the new developed model to crack growth prediction under a random stress process in view of the engineering critical assessment of offshore structures. The present developed formulation and procedure also need to be extended to non-Gaussian wide band processes.

참고문헌 (31)

  1. ABS, "Spectral-based Fatigue Analysis for Floating Production, Storage and Offloading (FPSO) Systems. ABS Guidance Note", American Bureau of Shipping, ~ (2006)
  2. Recommended Practice for Design and Analysis of Station Keeping Systems for Floating Structures. API RP 2SK, "API", American Petroleum Institute, ~ (2005)
  3. ASTM - 1049-85 Standard Practices for Cycle Counting in Fatigue Analysis, "American Society for Testing and Materials", ASTM, ~ (1997)
  4. Benasciutti, D., "Fatigue Analysis of Random Loadings", PhD, pp.2004
  5. Benasciutti, D., "Spectral methods for lifetime prediction under wide band stationary random processes", Int. J. Fatig, 27(8), pp.867~877 (2005)
  6. Dirlik, T., "Application of Computers in Fatigue", PhD, pp.1985
  7. Dowling, N. E., "Fatigue failure predictions for complicated stressestrain histories", J. Mater, 7(1), pp.71~87 (1972)
  8. FPSO Fatigue Methodology Specification, "DNV", Det Norske Veritas, ~, pp.Report No. 99-3503 (1999)
  9. DNV, "Offshore Standard - Position Mooring. DNV-OS-E301", Det Norske Veritas, ~ (2004)
  10. DNV, "Recommended Practice for Riser Fatigue. DNV-RP-E204", Det Norske Veritas, ~ (2004)
  11. DNV, "Fatigue Methodology of Offshore Ships. DNV-RP-C206", Det Norske Veritas, ~ (2006)
  12. Gao, Z., "Frequency-domain fatigue analysis of wide-band stationary Gaussian processes using a trimodal spectral formulation", Int. J. Fatig, 30, pp.1944~1955 (2008)
  13. Jiao, G., "Probabilistic analysis of fatigue due to Gaussian load processes", Probabilist. Eng. Mech, 5(2), pp.76~83 (1990)
  14. Krenk, S., "Markov matrix for fatigue load simulation and rainflow range distribution", The Danish Center for Applied Mathematics and Mechanics. The Technical University of Denmark, ~ (1989)
  15. Kim, H. J., "A Study on a Frequency Domain Approach for Fatigue Analysis of Wide-Banded Non-gaussian Processes", PhD, pp.2019
  16. Lloyd, "Fatigue Design Assessment Level 3 Guidance on Direct Calculations", Lloyd’s Register, ~ (2002)
  17. Lutes, L. D., "Improved spectral method for variable amplitude fatigue prediction", J. Struct. Eng, 116(4), pp.1149~1164 (1990)
  18. Madsen, H. O., "Methods of Structural Safety" (1986), Prentice-Hall
  19. Matsuishi, M., "Fatigue of Metals Subjected to Varying Stress", Japan Soc. Mech. Eng (1968)
  20. Miner, M. A., "Cumulative damage in fatigue", J. Appl. Mech, 12, pp.159~164 (1945)
  21. Nelson, D. V., "Cumulative Fatigue Damage in Metals", PhD, pp.1978
  22. Park, J. B., "The Development of a Fatigue Damage Model for the Wide Band Random Loading", PhD, pp.2011
  23. Park, J. B., "A new fatigue prediction model for marine structures subject to wide band stress process", Ocean. Eng, 76, pp.144~151 (2014)
  24. Park, J. B., "Fatigue damage model comparison with formulated trimodal spectrum loadings under stationary Gaussian random processes", Ocean. Eng, 105, pp.72~82 (2015)
  25. Rychlik, I., "A new definition of the rainflow cycle counting method", Int. J. Fatig, 9(2), pp.119~121 (1987)
  26. Rychlik, I., "On the narrow-band approximation for expected fatigue damage", Probabilist. Eng. Mech, 8, pp.1~4 (1993)
  27. Rychlik, I., "Note on cycle counts in irregular loads", Fatig. Fract. Eng. Mater. Struct, 16(4), pp.377~390 (1993)
  28. Sakai, S., "On the distribution of rainflow range for Gaussian random processes with bimodal PSD", JSME Int. J. Ser A, 38(4), pp.440~445 (1995)
  29. Vanmarcke, E. H., "Properties of spectral moments with applications to random vibration", J. Eng. Mech. ASCE(Am. Soc. of Civ. Eng. ), 98(2), pp.425~446 (1972)
  30. Wirsching, P. H., "Fatigue under wide band random stresses", J. Struct. Div. ASCE(Am. Soc. of Civ. Eng. ), 106(7), pp.1593~1607 (1980)
  31. Zhao, W., "On the probability density function of rainflow stress range for stationary Gaussian processes", Int. J. Fatig, 14(2), pp.121~135 (1992)

관련 논문AI추천

이 간행물의 다른 논문 (80건)