Araştırma Makalesi

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

Sayı: 209 15 Ekim 2017
  • Ömer Sinan Şahin
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Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. Abkowitz, M. A., (1964). “Lectures on ship hydrodynamics—steering and maneuverability,” Tech. Rep. Hy-5, Hydro- and Aerodynamics Laboratory, Lyngby, Denmark.
  2. 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.
  3. Browning, A.W., (1990). ‘’A Mathematical Model to Simulate Small Boat Behaviour’’, Ph.D. Thesis, Bournemouth Polytechnic.
  4. Ford, A. (1999). ‘’Modeling the environment: an introduction to system dynamics models of environmental systems’’, Island Press, Washington DC, ISBN: 1-55963-601-7.
  5. 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.
  6. Fossen, Thor I. (1994). ‘’Guidance and Control of Ocean Marine Vehicles’’, ISBN 0-471-94113-1. John Wiley & Sons Ltd, UK.
  7. 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.
  8. Isherwood, R. M., (1972). ‘’Wind Resistance of Merchant Ships’’, RINA Trans. Vol. 115, pp. 327-338.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Ömer Sinan Şahin Bu kişi benim

Yayımlanma Tarihi

15 Ekim 2017

Gönderilme Tarihi

15 Ekim 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Sayı: 209

Kaynak Göster

APA
Şahin, Ö. S. (2017). Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions. Gemi ve Deniz Teknolojisi, 209, 5-18. https://izlik.org/JA48LE66WP