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1 TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

1 2010

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Asymptotic Theory of Ship Motions in Regular Waves Under Shallow Water Conditions

Vorobyov Y. L., Stasenko M. S.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2010

Vol. 4, no. 4

415--420

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 expan-sion method (MAEM). The solution is based on Fourier – Michell integral transformation technique and char-acteristics 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.