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Investigation of the nonlinear moment influence on the parametric rolling of a ship

Abstract

The article discusses the definition of parametric roll charatecristics based on the formula of V.V. Lugovskiy. An additional non-linear moment MX 24 is taken into account. Mathematical formulation of the problem has been given, together with its solution. Test calculations of parametric roll for five ships of different types: passenger ship, oil tanker, container ship, timber carrier and bulk carrier — have been given. Roll calculations have been performed at heading angles of 60°, 90° and 120°. RAOs for ships have been calculated with and without non-linear moment consideration. The calculations have been carried out for a given static stability diagram with frequency graphs built based on the Vlasov method. A significant influence of non-linear moment on the maximum amplitudes of parametric rolling have shown, especially for the ship positioned in beam waves, thus demonstrating the need to take the non-linear moment.

About the Authors

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

DSc, professor



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

St. Petersburg



References

1. Bogolyubov N.N., Krylov N.M. Vvedenie v nelineynuyu mekhaniku [Introduction into non-linear mechanics] //Izd-vo AN USSR, Kiev. — 1937.

2. Lugovskiy V.V. Kachka korablya [Ship motions] SPb, 1999.

3. Lugovskiy V.V. Matematicheskie modeli dlya issledovaniya ustoychivosti nelineynoy kachki sudov na volnenii [Mathematical models to describe the stability of non-linear ship motions in waves] Publ. of International Ship Hydrodynamics Symposium, SPb, 1995, pp. 83 — 91.

4. Lugovskiy V.V. Nekotorye voprosy nelineynoy teorii kachki, svyazannye s obespecheniem ostoychivosti sudna na volnenii [Some aspects of non-linear ship motions theory related to ship stability], SPBGMTU 2008, pp. 93 — 114.

5. Lugovskiy V.V. Nelineynye zadachi morekhodnosti korablya [Aspects of non-linear ship motions], L., Sudostroenie, 1966.

6. Lugovskiy V.V. Teoriya i priblizhenny raschet bortovoy kachki sudna s zadannoy diagrammoy ostoychivosti na kosykh uglakh po otnosheniyu k volneniyu [Theory and approximate calculations of ship roll motions with given stability diagram for quartering seas] // NTO Sudproma. Collection of articles No. 39. L., 1961, pp. 117 — 136.

7. Spravochnik po teorii korablya [Ship theory reference book], Vol. 2. / (ed. Ya.I. Voytkunsky) L., Sudostroenie, 1985.


Review

For citations:


Semenova V.Yu., Albaev D.A. Investigation of the nonlinear moment influence on the parametric rolling of a ship. Research Bulletin by Russian Maritime Register of Shipping. 2022;1(66/67):30-38. (In Russ.)

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ISSN 2223-7097 (Print)