Ocean Systems Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Non-Gaussian analysis methods for planing craft motion

  • Somayajula, Abhilash (Marine Dynamics Laboratory, Texas A&M University) ;
  • Falzarano, Jeffrey M. (Marine Dynamics Laboratory, Texas A&M University)
  • Received : 2014.09.20
  • Accepted : 2014.12.02
  • Published : 2014.12.25
⟨ Previous Next ⟩

Abstract

Unlike the traditional displacement type vessels, the high speed planing crafts are supported by the lift forces which are highly non-linear. This non-linear phenomenon causes their motions in an irregular seaway to be non-Gaussian. In general, it may not be possible to express the probability distribution of such processes by an analytical formula. Also the process might not be stationary or ergodic in which case the statistical behavior of the motion to be constantly changing with time. Therefore the extreme values of such a process can no longer be calculated using the analytical formulae applicable to Gaussian processes. Since closed form analytical solutions do not exist, recourse is taken to fitting a distribution to the data and estimating the statistical properties of the process from this fitted probability distribution. The peaks over threshold analysis and fitting of the Generalized Pareto Distribution are explored in this paper as an alternative to Weibull, Generalized Gamma and Rayleigh distributions in predicting the short term extreme value of a random process.

Keywords

Acknowledgement

Grant : Analysis of the Non-Gaussian Global Response of high speed craft in waves

Supported by : Office of Naval Research (ONR)

References

  1. Bradley, J. (2013), MATLAB Statistical Toolbox User's Guide, MathWorks.
  2. Coles, S. (2001), An introduction to statistical modeling of extreme values, Springer-Verlag, London, UK.
  3. Cramer, H. and Leadbetter, M.R. (1967), Stationary And Related Stochastic Processes: Sample Function Properties And Their Applications, Courier Dover Publication, Mineola, New York, USA.
  4. Embrechts, P., Kluppelberg, C. and Mikosch, T. (1997), Statistical methods for extremal events, Modelling Extremal Events: For Insurance and Finance. Springer-Verlag, Berlin, 283-370.
  5. Fridsma, G. (1969), A systematic study of the rough-water performance of planing boats (Irregular waves - part II), (No. 1275), Davidson Laboratory, Stevens Institute of Technology, New Jersey.
  6. Guha, A., Somayajula, A. and Falzarano, J.M. (2013a), "Analysis of causeway ferry dynamics for safe operation of improved navy lighterage system", Proceedings of the 13th International Ship Stability Workshop, Brest, September.
  7. Guha, A., Somayajula, A. and Falzarano, J.M. (2013b), Analysis Framework for Improved Navy Lighterage System ( INLS ) Dynamics, Texas A&M University, College Station, Texas, USA.
  8. Jamnongpipatkul, A. (2010), Ship rolling motion subjected to colored noise excitation, MS Thesis, Texas A&M University, College Station.
  9. Kotz, S. and Nadarajah, S. (2000). Extreme value distributions: Theory and Applications, Imperial College Press, London, UK.
  10. Lewis, R.R. (1994), Statistical analysis of ship hull girder response time histories, MS Thesis, George Washington University, Washington D.C.
  11. Lewis, R.R. (2005), A systems-level approach for estimating wave impact design pressures, PhD. Dissertation, George Washington University, , Washington D.C.
  12. Moideen, H., Somayajula, A. and Falzarano, J.M. (2013), "Parametric roll of high speed ships in regular waves", Proceedings of ASME 2013 32nd International Conferences on Ocean, Offshore and Arctic Engineering, ASME.
  13. Moideen, H., Somayajula, A. and Falzarano, J.M. (2014), "Application of volterra series analysis for parametric rolling in irregular seas", J. Ship Res., 58(2), 1-9. https://doi.org/10.5957/JOSR.58.1.120039
  14. Mulk, M. and Falzarano, J. (1994), "Complete six-degrees-of-freedom nonlinear ship rolling motion", J. Offshore Mech. Arct., 116(4), 191-201. https://doi.org/10.1115/1.2920150
  15. Ochi, M. (1978a), "Generalization of Rayleigh probability distribution and its application", J. Ship Res., 22(4), 259-265.
  16. Ochi, M. (1978b), Wave statistics for the design of ships and ocean structures, SNAME Annual Meeting, New York.
  17. Ochi, M. (1981), "Principles of extreme value statistics and their application", Extreme Loads Response Symposium, SNAME, Arlington, VA.
  18. Ochi, M. (2005), Ocean waves: The stochastic approach, Cambridge university press, Cambridge, UK.
  19. Priestley, M. (1981), Spectral analysis and time series, Academic Press, London, UK.
  20. Priestley, M.B. (1988), Non-linear and non-stationary time series analysis, Academic Press, San Diego, California, USA.
  21. Rice, S. (1944) "Mathematical analysis of random noise", Bell Syst.Tech. J., 23(3), 282-332. https://doi.org/10.1002/j.1538-7305.1944.tb00874.x
  22. Somayajula, A. and Falzarano, J.M. (2014), "Non-linear dynamics of parametric roll of container ship in irregular seas", Proceedings of the ASME 2014 33rd International Conferences on Ocean, Offshore and Arctic Engineering, San Francisco, USA, June.
  23. Somayajula, A., Guha, A., Falzarano, J., Chun, H.H. and Jung, K.H. (2014a), "Added resistance and parametric roll prediction as a design criteria for energy efficient ships", Ocean Syst. Eng., 4(2), 117-136. https://doi.org/10.12989/ose.2014.4.2.117
  24. Somayajula, A., Guha, A. and Falzarano, J.M. (2014), Analysis of the planing craft motions data, Texas A&M University, College Station, Texas, USA.
  25. Su, Z. and Falzarano, J.M. (2011), "Gaussian and non-Gaussian cumulant neglect application to large amplitude rolling in random waves", Int. Shipbuild. Prog., 58, 97-113.
  26. Su, Z. and Falzarano, J.M. (2013), "Markov and Melnikov based methods for vessel capsizing criteria", Ocean Eng., 64, 146-152. https://doi.org/10.1016/j.oceaneng.2013.02.002
  27. Taylor, P., Jonathan, P. and Harland, L. (1997), "Time domain simulation of jack-up dynamics with the extremes of a Gaussian process", J. Vib. Acoust., 119(4), 624-628. https://doi.org/10.1115/1.2889772
  28. Torhaug, R. (1996), Extreme response of nonlinear ocean structures: Identification of minimal stochastic wave input for time-domain simulation, Ph.D. Dissertation, Stanford University, Palo Alto.
  29. Tromans, P., Anaturk, A. and Hagemeijer, P. (1991), "A new model for the kinematics of large ocean waves-application as a design wave", Proceedings of the 1st International Offshore and Polar Engineering Conference, Edinburgh, August.
  30. Vanem, E., Bitner-Gregersen, E. and Wikle, C. (2013), Bayesian Hierarchical Space-Time Models with Application to Significant Wave Height, Ocean Engineering & Oceanography, Springer, Berlin Heidelberg, Germany.
  31. Wang, L. (2001), Probabilistic analysis of nonlinear wave-induced loads on ships, Ph.D. Dissertation, Norwegian University of Science and Technology, Trondheim.
  32. Wang, L. and Moan, T. (2004), "Probabilistic analysis of nonlinear wave loads on ships using weibull, generalized gamma, and pareto distributions", J. Ship Res., 48(3), 202-217.
  33. Winterstein, S., Torhaug, R. and Kumar, S. (1998), "Design seastates for extreme response of jackup structures", J. Offshore Mech. Arct., 120(2), 103-108. https://doi.org/10.1115/1.2829523

Cited by

  1. Non-Gaussian time-dependent statistics of wind pressure processes on a roof structure vol.23, pp.4, 2016, https://doi.org/10.12989/was.2016.23.4.275
  2. Statistical analysis of vertical accelerations of planing craft: Common pitfalls and how to avoid them vol.139, 2017, https://doi.org/10.1016/j.oceaneng.2017.05.004
  3. Experiments and CFD of a high-speed deep-V planing hull––Part I: Calm water vol.96, pp.None, 2014, https://doi.org/10.1016/j.apor.2020.102060