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Title
Susceptibility of the roll equation to the bifurcation phenomenon depending on the damping coefficient value and form of the roll damping formula

ISSN printed: 1733-8670, ISSN on-line: 2392-0378
Wawrzyński, Wojciech1
URI: https://repository.am.szczecin.pl/handle/123456789/2428
2017-12-15
This paper deals with the susceptibility of the roll equation to the bifurcation phenomenon depending on the damping coefficient value and form of the roll damping formula. Generally, the bifurcation phenomenon depends mainly on the shape of the righting arm curve (GZ curve), but roll damping also has a significant impact. The commonly used formulas for roll damping are presented, as well as values of the linear equivalent roll damping coefficient, calculated according to the simple Ikeda method. Values of the linear equivalent roll damping coefficient were calculated for a wide spectrum of roll amplitudes and roll frequencies for two ships. The loading conditions for these ships were selected to show different GZ curve characteristics. One ship has a softening spring characteristic and the second has a hardening spring characteristic. For these two ships, a number of calculations of roll spectra are presented where the bifurcation phenomenon occurs. Calculations were made for different damping coefficient values and forms of the roll damping formula.
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Title

Susceptibility of the roll equation to the bifurcation phenomenon depending on the damping coefficient value and form of the roll damping formula

Pages

161‒169

Figures

11

Tables

1

ISSN printed

1733-8670

ISSN on-line

2392-0378

DOI

10.17402/258

Type

Original scientific article

Journal

52 Scientific Journals of the Maritime University of Szczecin, no. 52 / 2017

Publisher

Scientific Journals Maritime University of Szczecin, Zeszyty Naukowe Akademia Morska w Szczecinie

Copyright Holder

Scientific Journals Maritime University of Szczecin, Zeszyty Naukowe Akademia Morska w Szczecinie

Published

2017-12-15

Recieved

2017-11-23

Accepted

2017-11-29

Funding

No data

Keywords

ship stability, ship rolling, bifurcations, roll resonance, roll damping coefficient, formulas

URI:

https://repository.am.szczecin.pl/handle/123456789/2428

Language

English

Authors

Wawrzyński, Wojciech1

Affiliation

1 Gdynia Maritime University, Faculty of Navigation, Department of Ship Operation 3 Jana Pawła II Ave., 81-345 Gdynia, Poland, w.wawrzynski@wn.am.gdynia.pl

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