<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this study numerical and analytical approaches were investigated in terms of accuracy of their results, practicality of solution and ability to reproduce the main features of the parametric roll phenomenon such as loss of stability and bifurcations in parametric roll motion analysis of ships. In general, single-degree-of-freedom analytical approach is based on reducing number of degrees of freedom from 3 to 1 by using the quasi-static Froude-Krylov assumption, incorporating heave and pitch effects by means of a time varying restoring moment. On the other hand, numerical approaches to motion of six and four degrees of freedom are based on three dimensional diffraction/radiation and potential flow theories. In summary, this paper reveals that analytical approaches are sufficiently adequate to obtain accurate practical results for this relatively complex phenomenon.</p></abstract>

In this study numerical and analytical approaches were investigated in terms of accuracy of their results, practicality of solution and ability to reproduce the main features of the parametric roll phenomenon such as loss of stability and bifurcations in parametric roll motion analysis of ships. In general, single-degree-of-freedom analytical approach is based on reducing number of degrees of freedom from 3 to 1 by using the quasi-static Froude-Krylov assumption, incorporating heave and pitch effects by means of a time varying restoring moment. On the other hand, numerical approaches to motion of six and four degrees of freedom are based on three dimensional diffraction/radiation and potential flow theories. In summary, this paper reveals that analytical approaches are sufficiently adequate to obtain accurate practical results for this relatively complex phenomenon.

Numerical and Analytical Approaches for Roll Motion Analysis in Regular Longitudinal Waves

Karadeniz Technical University, 61080, Trabzon, Turkey

Polish Maritime Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this study numerical and analytical approaches were investigated in terms of accuracy of their results, practicality of solution and ability to reproduce...

Numerical and Analytical Approaches for Roll Motion Analysis in Regular Longitudinal Waves

Published Online: Oct 15, 2015

Page range: 28 - 35

DOI: https://doi.org/10.1515/pomr-2015-0053

Keywords
Parametric roll motion, bifurcations, panel method, AQWA

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Numerical and Analytical Approaches for Roll Motion Analysis in Regular Longitudinal Waves

Published Online: Oct 15, 2015

Page range: 28 - 35

DOI: https://doi.org/10.1515/pomr-2015-0053

KeywordsParametric roll motion, bifurcations, panel method, AQWA

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Parametric roll motion, bifurcations, panel method, AQWA