Stochastic approach to movements of a multihull on waves

• Autorzy: Królicka A.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Due to difficulties in determining precise initial conditions for the motion of sea waves and the nature of wind undulation, the dynamics of sea waves can be only modelled within the framework of a stochastic theory. The article presents a method for determining differential equations of motion for multihulls, such as catamaran or trimaran. The catamaran sails at constant translatory velocity and at an arbitrary angle to the undulation direction. The set of differential equations of motion presented in the article models anti-symmetric (lateral) movements of the catamaran. For those movements, stochastic differential equations ( Itô equations) are constructed in the form of the equation set (8). Using the state vector X and the excitation vector Y , the Itô equations take the form (9) and (10).

Słowa kluczowe

EN

sea waves; multihull; catamaran; trimaran; linear object; Ito equation

PL

fale morskie; łódź wielokadłubowa; katamaran; trimaran; obiekt liniowy; równanie Ito

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 217--222
• Opis fizyczny: Bibliogr. 10 poz., 1 rys., fot. kolor.

Twórcy

autor

Królicka A.

• Gdansk University of Technology, Faculty of Ocean Engineering and Ship Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

Bibliografia

• [1] Davis M.R., Holloway D.S. and Watson N.L., Dynamic wave loads on a high speed catamaran ferry fitted with t-foils and stern tabs, Transactions of the Royal Institution of Naval Architects, International Journal of Maritime Engineering, Vol. 148, Part A1, 1-16, 2006.
• [2] Gichman I.I., Skorochod A.W., Introduction to the theory of stochastic processes, Warsaw 1968 (in Polish).
• [3] Gutowski R., Ordinary differential equations, Warsaw 1971 (in Polish).
• [4] Kang D., Hasegawa K., Prediction method of hydrodynamic forces acting on the hull of a bluntbody ship in the even keel condition, Journal of Marine Science and Technology, Vol. 12, Number 1, 1-14, 2007.
• [5] Królicka A., Unsymmetrical movements of a multi-hull vessel treated as a linear object, Marine Technology Transactions, Vol. 18, pp. 63-74, Gdańsk 2007.
• [6] Rumianowski A., Investigating the dynamics of selected marine floating objects, Gdańsk 2003 (in Polish).
• [7] Rumianowski A., Stochastic approach to the dynamics of marine floating objects, Marine Technology Transactions Vol. 17, pp. 155-165, Gdańsk 2006.
• [8] Sobczyk K., Stochastic differential equations, Warsaw 1996 (in Polish).
• [9] Sobczyk K, Spencer Jr.,B.F., Stochastic material fatigue models, Wydawnictwa Naukowo- Techniczne, Warsaw 1996 (in Polish).
• [10] Wu M.K., Moan T., Numerical prediction of wave-induced long-term extreme load effects in a flexible high-speed pentamaran, Journal of Marine Science and Technology, Vol. 11, Number 1, 39-51, 2006.