Mathematical Modeling of the Ships’ Six-Degree-of-Freedom Motions

Year 2017, Issue: 209, 5 - 18, 15.10.2017

Ömer Sinan Şahin

Abstract

A
ship between waves is exposed to the effects of waves, currents, winds, etc.,
and dynamic forces resulting from the motions of the ship. For this reason, it
is necessary to establish motion equations to examine the motion of vessels
under environmental influences and to make dynamic analyzes. The purpose of
this paper is to compile the equations used in the mathematical modeling of the
ship motion with reference to work on nonlinear ship motions with six degrees
of freedom and ship-acting forces. The components of the equations consist of
inertial forces and moments, restoring forces and moments, and damping forces
and moments. The equations compiled in this study can be used to obtain the
mathematical model of the vessels by adapting them to various ship sizes and
types.

Keywords

Ship motions, mathematical modeling, ship modeling

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