Abstract
The hydrodynamic interaction between two vertical cylinders in water waves is investigated based on the linearized potential flow theory. One of the two cylinders is fixed at the bottom while the other is articulated at the bottom and oscillates with small amplitudes in the direction of the incident wave. Both the diffracted wave and the rediation wave are studied in the present paper. A simple analytical expression for the velocity potential on the surface of each cylinder is obtained by means of Graf's addition theorem. The wave-excited forces and moments on the cylinders, the added masses and the radiation damping coefficients of the oscillating cylinder are all expressed explicitly in series form. The coefficients of the series are determined by solving algebraic equations. Several numerical examples are given to illustrate the effects of various parameters, such as the separation distance, the relative size of the cylinders, and the incident angle, on the first-order and steady second-order forces, the added masses and radiation-damping coefficients as well as the response of the oscillating cylinder.
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Project supported by Chinese Academy of Sciences and Sponsored by the Committee on Research and Conference Grants of University of Hong Kong
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Xianchu, Z., Dongjiao, W. & Chwang, A.T. Hydrodynamic interaction between two vertical cylinders in water waves. Appl Math Mech 18, 927–940 (1997). https://doi.org/10.1007/BF00189283
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DOI: https://doi.org/10.1007/BF00189283