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## Polish Maritime Research

2010 | 17 | 1 |
Tytuł artykułu

### State equations in the mathematical model of dynamic behaviour of multihull floating unit

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EN
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EN
This paper concerns dynamic behaviour of multihull floating unit of catamaran type exposed to excitations due to irregular sea waves. Dynamic analysis of multihull floating unit necessitates, in its initial stage, to determine physical model of the unit and next to assume an identified mathematical model. Correctly elaborated physical models should contain information on the basis of which a mathematical model could be built. Mathematical models describe mutual relations between crucial quantities which characterize a given system in time domain. The dynamic analysis of multihull unit was performed under assumption that the unit’s model has been linear and exposed to action of irregular sea waves. Mathematical model of such dynamic system is represented by state equations. The formulated equations take into account encounter of head wave which generates symmetrical motions of the unit, i.e. surge, heave and pitch. For solving the equations the following three wave spectra were taken into consideration:- ISSC (International Ship Structures Congress) spectrum- Pierson-Moskowitz spectrum- Paszkiewicz spectrum
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Opis fizyczny
p.33-38,fig.,ref.
Twórcy
autor
• Faculty of Ocean Engineering and Ship Technology, Gdansk University of Technology, Narutowicza 11/12, 80-952 Gdansk, Poland
Bibliografia
• 1. Druet Cz.: Sea dynamics (in Polish). Wyd. Uniwersytetu Gdańskiego (Publ. of Gdańsk University), Gdańsk, 2000
• 2. Kang D., Hasegawa K.: Prediction method of hydrodynamic forces acting on the hull of a blunt-body ship in the even keel condition. Journal of Marine Science and Technology, vol. 12, no. 1, pp.1÷14, 2007
• 3. Królicka A.: Multihull vessel excitations in stochastic formulation, Polish Maritime Research, Gdańsk University of Technology, Faculty of Ocean Engineering & Ship Technology, no. 4, vol. 15, Gdańsk, 2008
• 4. Królicka A.: Stochastic approach to movements of a multihull on waves. Vibrations in physical systems, Vol.XXIII, pp. 217÷222, Poznań, 2008
• 5. Plucińska A., Pluciński E.: Probabilistics, Probability calculus, Mathematical statistics, Stochastic processes (in Polish). Wyd.Naukowo-Techniczne (Scientific Technical Publishing House), Warszawa, 2006
• 6. Rumianowski A.: Research on dynamic behaviour of selected sea floating objects (in Polish), Wyd. PG (Publishing House of Gdańsk University of Technology), Gdańsk, 2003
• 7. Sobczyk K.: Stochastic differential equations (in Polish), Warszawa, 1996
• 8. Sobczyk K., Spencer Jr.,B.F.: Stochastic models of fatigue of materials (in Polish). Wyd.Naukowo-Techniczne (Scientific Technical Publishing House), Warszawa, 1996.
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