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2023 Journal Impact Factor - 0.7
2023 CiteScore - 1.4
ISSN 2083-6473
ISSN 2083-6481 (electronic version)
Editor-in-Chief
Associate Editor
Prof. Tomasz Neumann
Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
e-mail transnav@umg.edu.pl
Asymptotic Theory of Ship Motions in Regular Waves Under Shallow Water Conditions
1 National University “Odessa Maritime Academy”, Odessa, Ukraine
ABSTRACT: The hydrodynamic theory of ship motions in shallow water under the action of regular waves is discussed. The boundary value problem for velocity potential is solved using the matched asymptotic expansion method (MAEM). The solution is based on Fourier ? Michell integral transformation technique and characteristics of Helmholtz and Klein ? Gordon equations. Using the obtained results formulae for hydrodynamic characteristics are derived. The application of these formulae demonstrated good coincidence of the results of calculations and model experiments carried out in towing tank of Odessa National Maritime University.
KEYWORDS: Ship's Motion, Shallow Water, Asymptotic Theory, Regular Waves, Fourier-Michell Integral Transformation, Matched Asymptotic Expansion Method (MAEM), Klein-Gordon Equations, Bessel Functions
REFERENCES
Vorobyov, Y.L., 2002. Ship hydrodynamics in restricted waters. St.P., Shipbuilding, 224 p. (in Russian)
Haskind, M.D., 1973. Hydrodynamic theory of ship motions, M.Science, 327 p. (in Russian)
Newman, J.N., 1959. The damping and wave resistance of pitching and heaving ships// Journal of Ship Research. Vol.3, N1, p.p. 1-19.
Landau, L.D . & Lifshits , E.M., 1964. Theoretical physics, v.5, Statistical physics, M., Science, 567 p. (in Russian)
Kotic, G. & Mangulis, V. 1962. On the Kramers-Kronig relations for ship motions// International Shipbuilding Progress. Vol.9. N97, pp.361-368.
Oortmerssen, G.M, 1976. The motions of a ship in shallow water// Ocean Engineering. Vol.3. N4, pp.221-255.
Citation note:
Vorobyov Y.L., Stasenko M.S.: Asymptotic Theory of Ship Motions in Regular Waves Under Shallow Water Conditions. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 4, No. 4, pp. 415-420, 2010
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