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Determination of accelerations at arbitrary points of a ship based on nonlinear theory in regular waves

Abstract

The article discusses the determination of accelerations at various points of the ship from the action of second-order nonlinear forces on the basis of three-dimensional potential theory in regular waves. To determine them, methods of integral equations and the small parameter method have been used. Acceleration calculations using the developed programs have been tested in comparison with programs based on the use of two- dimensional methods. A study of the influence of changes in heading angle and speed on acceleration amplitudes has also been carried out. Acceleration calculations have been provided for various ship types. The significant influence of nonlinear forces on horizontal and vertical accelerations in zones of superharmonic resonant modes in the beam waves and the need to take it into account have been shown.

About the Authors

V. Yu. Semenova
St. Petersburg State Marine Technical University
Russian Federation

DSc, professor

St. Petersburg



D. A. Albayev
St. Petersburg State Marine Technical University
Russian Federation

St. Petersburg



References

1. Lugovskiy V.V. Nelineynye zadachi morekhodnosti korablya [Non-linear tasks of ship's seaworthiness], L., Sudostroenie, 1966.

2. Semenova V.Yu. Razrabotka metoda rascheta nelineynoy kachki sudov sudov [Development of a method for calculating the non-linear motions of ships] // DSc thesis, Biblioteka SPBGMTU, 2005.

3. Semenova V.Yu., Albayev D.A. Opredeleniye inertsionno-dempfiruyushchikh sil vtorogo poryadka malosti, voznikayushchikh pri kachke sudna, na osnovanii trekhmernoy potentsialnoy teorii [Determination of the second order inertial-damping forces arising during the oscillations of the ship based on the three-dimensional potential theory] //Marine Intellectual Technologies, No. 2(44), vol. 1, pp. 36 — 44, 2019.

4. Semenova V.Yu., Albayev D.A. Opredeleniye nelineynykh sil vtorogo poryadka, voznikayushchikh pri vertikalnoy kachke sudna, na osnovanii trekhmernoy potentsialnoy teorii [Determination of nonlinear forces of the second order arising during the heaving of a ship, based on three- dimensional potential theory]. Marine intellectual technologies, No. 4-1 (40). pp. 63 — 69, 2019.

5. Semenova V.Yu., Albayev D.A. Opredeleniye nelineynykh sil vtorogo poryadka, voznikayushchikh pri poperechno-gorizontalnykh i bortovykh kolebaniyakh sudov na osnovanii trekhmernoy potentsialnoy teorii [Determination of nonlinear second-order forces arising from horizontal and rolling motions of ships based on three-dimensional potential theory]. Marine intellectual technologies, No. 2-2 (48), pp. 11 — 18, 2020.

6. Semenova V.Yu., Albayev D.A. Opredeleniye nelineynykh difraktsionnykh sil vtorogo poryadka, deystvuyushchikh na sudno, na osnovanii trekhmernoy teorii [The determination of nonlinear second-order diffraction forces acting on a ship based on three-dimensional theory]. Marine intellectual technologies, No. 2, vol. 3, pp. 20 — 28, 2021.

7. Semenova V.Yu., Albayev D.A. Opredeleniye nelineynykh sil vtorogo poryadka, voznikayushchikh pri vzaimodeystvii volneniya i otdelnykh vidov kachki sudna [Determination of nonlinear forces of the second order arising from the interaction of waves and certain types of ship's motions]. Marine intellectual technologies No. 4, vol. 2, pp. 21 — 31, 2021.

8. Semenova V.Yu., Albayev D.A. Chislennoye opredeleniye nelineynykh sil vtorogo poryadka, voznikayushchikh pri vzaimodeystvii otdelnykh vidov kachki sudna na regulyarnom volnenii [Numerical determination of nonlinear forces of the second-order arising from the interaction of certain types of ship's motions in regular waves] Marine intellectual technologies, No. 2, Pt. 2, pp. 125 — 133, 2022.

9. So Chzho Tu Razrabotka metoda rascheta nelinejnyh sil vtorogo poryadka, voznikayushchih pri kachke sudna na melkovodye [Development of the method for calculating second-order nonlinear forces due to ship's motions in shallow water] // PhD thesis, Biblioteka SPbGMTU, 2014.

10. So Chzho Tu, Semenova V.Yu. Raschet uskoreniy, voznikayushchikh pri poperechnoy kachke sudna na melkovodye s uchetom nelineynykh sil vtorogo poryadka [The calculation of the accelerations occurring during cross rolling of the ship in shallow waters with non-linear forces of the second order]. Morskoy Vestnik No. 2 (50), pp. 99 — 101, 2014.


Review

For citations:


Semenova V.Yu., Albayev D.A. Determination of accelerations at arbitrary points of a ship based on nonlinear theory in regular waves. Research Bulletin by Russian Maritime Register of Shipping. 2024;(74):36-46. (In Russ.)

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ISSN 2223-7097 (Print)