Yıl 2017, Cilt , Sayı 209, Sayfalar 5 - 18 2017-10-15

Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions

Ömer Sinan ŞAHİN [1]


A ship between waves is exposed to the effects of waves, currents, winds, etc., and dynamic forces resulting from the motions of the ship. For this reason, it is necessary to establish motion equations to examine the motion of vessels under environmental influences and to make dynamic analyzes. The purpose of this paper is to compile the equations used in the mathematical modeling of the ship motion with reference to work on nonlinear ship motions with six degrees of freedom and ship-acting forces. The components of the equations consist of inertial forces and moments, restoring forces and moments, and damping forces and moments. The equations compiled in this study can be used to obtain the mathematical model of the vessels by adapting them to various ship sizes and types.

Ship motions, mathematical modeling, ship modeling
  • Abkowitz, M. A., (1964). “Lectures on ship hydrodynamics—steering and maneuverability,” Tech. Rep. Hy-5, Hydro- and Aerodynamics Laboratory, Lyngby, Denmark.
  • Berge, S.P. and Fossen, T.I., (2000). “On the Properties of the Nonlinear Ship Equations of Motion’’, Mathematical and Computer Modeling of Dynamical Systems, 365-381.
  • Browning, A.W., (1990). ‘’A Mathematical Model to Simulate Small Boat Behaviour’’, Ph.D. Thesis, Bournemouth Polytechnic.
  • Ford, A. (1999). ‘’Modeling the environment: an introduction to system dynamics models of environmental systems’’, Island Press, Washington DC, ISBN: 1-55963-601-7.
  • Fossen, T.I., Fjellstad, O.E., (1995). “Nonlinear Modelling of Marine Vehicles in 6 Degrees of Freedom’’, Journal of Mathematical Modelling of Systems, 17-28.
  • Fossen, Thor I. (1994). ‘’Guidance and Control of Ocean Marine Vehicles’’, ISBN 0-471-94113-1. John Wiley & Sons Ltd, UK.
  • Ibrahim, R. A., Grace, I. M., (2009). ’’Modeling of Ship Roll Dynamics and Its Coupling with Heave and Pitch’’, Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202, USA.
  • Isherwood, R. M., (1972). ‘’Wind Resistance of Merchant Ships’’, RINA Trans. Vol. 115, pp. 327-338.
  • Kallström, C. G., (1979). ‘’Identification and Adaptive Control Applied to Ship Steering’’, PhD Thesis, Department of Automatic Control, Lund Institute of Technology, Sweden.
  • Kaplan, P., Ward, W. L. and Sargent, P. T., (1969). ‘’A Mathematical Model for An Assault Boat Motion in Waves’’, Technical Report, Naval Training Device Center, Florida, USA.
  • Koç, S., (2016). ‘’Bitki Örtüsü İçeren Açık Kanal Akımının ANSYS CFX Programı ile Sayısal Modellemesi’’, Yüksek Lisans Tezi, Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Ankara.
  • Lamb, H., (1932). ‘’Hydrodynamics’’, Cambridge University Press, London.
  • Lewis, E.V., (1988). ‘’Principles of Naval Architecture vol II: Resistance, Propulsion and Vibration’’, The Society of Naval Architecture and Marine Engineers, New York.
  • Nomoto, K., Taguchi, T., Honda, K. and Hirano, S., (1957). “On the Steering Qualities of Ships”, Technical Report, International Shipbuilding Progress, 4.
  • Peşman, E., (2011). ‘’Boyuna Dalgalarda Gemilerin Yalpa Hareketi Analizi’’, Doktora Tezi, İTÜ, Fen Bilimleri Enstitüsü, İstanbul.
  • Remery, G. F. M. and Van Oortmerssen, G., (1973). ‘’The Mean Wave, Wind and Current Forces on Offshore Structures and Their Role in the Design of Mooring Systems’’, Offshore Technology Conference, pp. 169-184, Texas, USA.
  • Ross, A., (2008). ‘’Nonlinear Manoeuvring Models for Ships: a Lagrangian Approach’’, Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.
  • SNAME (1950). ‘’Nomenclature for treating the motion of a submerged body through a fluid’’, Technical Report Bulletin 1-5. Society of Naval Architects and Marine Engineers, New York, USA.
  • Son, K. H. and Nomoto, K., (1982). “On the coupled motion of steering and rolling of a high-speed container ship,” Naval Architecture and Ocean Engineering, vol. 20, pp. 73–83.
Bölüm Sayı
Yazarlar

Yazar: Ömer Sinan ŞAHİN

Tarihler

Yayımlanma Tarihi : 15 Ekim 2017

Bibtex @araştırma makalesi { gdt379728, journal = {Gemi ve Deniz Teknolojisi}, issn = {1300-1973}, eissn = {2651-530X}, address = {}, publisher = {TMMOB Gemi Mühendisleri Odası}, year = {2017}, volume = {}, pages = {5 - 18}, doi = {}, title = {Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions}, key = {cite}, author = {Şahin, Ömer Sinan} }
APA Şahin, Ö . (2017). Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions . Gemi ve Deniz Teknolojisi , (209) , 5-18 . Retrieved from https://dergipark.org.tr/tr/pub/gdt/issue/34371/379728
MLA Şahin, Ö . "Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions" . Gemi ve Deniz Teknolojisi (2017 ): 5-18 <https://dergipark.org.tr/tr/pub/gdt/issue/34371/379728>
Chicago Şahin, Ö . "Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions". Gemi ve Deniz Teknolojisi (2017 ): 5-18
RIS TY - JOUR T1 - Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions AU - Ömer Sinan Şahin Y1 - 2017 PY - 2017 N1 - DO - T2 - Gemi ve Deniz Teknolojisi JF - Journal JO - JOR SP - 5 EP - 18 VL - IS - 209 SN - 1300-1973-2651-530X M3 - UR - Y2 - 2021 ER -
EndNote %0 Gemi ve Deniz Teknolojisi Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions %A Ömer Sinan Şahin %T Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions %D 2017 %J Gemi ve Deniz Teknolojisi %P 1300-1973-2651-530X %V %N 209 %R %U
ISNAD Şahin, Ömer Sinan . "Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions". Gemi ve Deniz Teknolojisi / 209 (Ekim 2017): 5-18 .
AMA Şahin Ö . Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions. Gemi ve Deniz Teknolojisi. 2017; (209): 5-18.
Vancouver Şahin Ö . Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions. Gemi ve Deniz Teknolojisi. 2017; (209): 5-18.
IEEE Ö. Şahin , "Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions", Gemi ve Deniz Teknolojisi, sayı. 209, ss. 5-18, Eki. 2017