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The dynamics presented by the ships were perfected through analytical mechanics, which determines the real nature of the ships. The objective of this research project is to build a ship model using the Euler-Lagrange equations and not by the classical Newton method. The importance of building a ship model based on these equations is that it allows us to have a ship that is more resistant to disturbances.
The intention of proposing this mathematical model will allow us to understand not only the mechanics of the ship, but also to establish its efficiency. The methodology used is a quantitative approach, with an applicative level of research, because a mathematical model of the ship was built based on Hamilton's principle of least action to obtain the equations of motion. In addition, Matlab software was used to simulate the kinematics and dynamics of the ship designed based on the mathematical model used. The result obtained demonstrates that the mathematical model used is adequate to understand the kinematics and dynamics of ships.
