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Vertical displacements of a Wave-Riding buoy

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Abstract

The influence of water waves on the free vertical oscillations of a spar buoy with an attached line of measuring instruments is investigated. The equations of motion of such a system are derived on the basis of the Lagrangian approach. Local parametric splines are used to reduce the problem to a system of second-order nonlinear ordinary differential equations, which is solved numerically by Geer's method. The period of free oscillations of the buoy is plotted as a function of its waterline area and the elasticity of the dropline, and the amplitude of the buoy oscillations is plotted as a function of the period and amplitude of the water waves and the elasticity of the dropline.

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Authors
  1. A. I. Bezverkhii
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Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 31, No. 7, pp. 83–88, July, 1995.

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Bezverkhii, A.I. Vertical displacements of a Wave-Riding buoy. Int Appl Mech 31, 581–586 (1995). https://doi.org/10.1007/BF00846792

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  • DOI: https://doi.org/10.1007/BF00846792

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