Effect of heading angle and velocity on the second harmonics of the nonlinear ship motions amplitudes
Abstract
The article discusses the definition of second-order nonlinear forces and the corresponding motions amplitudes based on three-dimensional potential theory. To determine them, the methods of integral equations and the method of a small parameter have been used. Approbation of the second harmonics amplitude calculations by the developed programs has been carried out in comparison with various programs based on the use of two-dimensional methods. Amplitudes of the second harmonics of the change in heading angle and speed have also been studied. Amplitude calculations have been given for various ships. Significant influence of non-linear forces on the amplitudes of heaving and rolling in the zones of superharmonic resonant modes when the ship is positioned in beam waves and the need to take it into account have been shown, as well as the determination of the total amplitude-frequency characteristics performed taking into account the amplitudes of the second harmonics.
About the Authors
V. Yu. Semenova
St. Petersburg State Marine Technical University (SMTU)
Russian Federation
Russian Federation
DSc, professor
St. Petersburg
D. A. Albaev
St. Petersburg State Marine Technical University (SMTU)
Russian Federation
Russian Federation
St. Petersburg
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Review
For citations:
Semenova V.Yu., Albaev D.A. Effect of heading angle and velocity on the second harmonics of the nonlinear ship motions amplitudes. Research Bulletin by Russian Maritime Register of Shipping. 2023;(70/71):46-57. (In Russ.)
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