Abstract
Simulating physical phenomena by applying mathematical and numerical modeling has been increasingly used during the different stages of research and development and innovation projects. The purpose of this study is to present results about translational motion (x, y, z), angular motion (α, β, γ) and trajectories obtained using a numerical model developed to study ship dynamics under the influence of linear and nonlinear waves. The results indicated that translational motion, surge and sway, is mostly influenced by thrust in the studied scenario. The translational motion (heave) displayed curves which can be related with wave patterns before 0.1 hr. The angular motion distributions displayed a variation that can be related with wave forces. However, at 0.4 hr the curves depicted smaller variations that is explained by the increased engine thrust pattern. In both simulations, the distance of 20.582 km and 20.342 km for linear and nonlinear simulations were calculated, respectively. Once both simulations yielded similar values for travel distance, the wave patterns used in this study were shown to generate variations at the displacement from 0 to 0.4 hr. After 0.4 hr, the ship displacement depicted linear curves but the engine thrust was able to overcome the external forces.
Highlights
The evolution of the shipbuilding industry has resulted in the development of new operating configurations for high speed ships [1]
Based on studies of ship movement under the influence of waves, many theories have been developed for vessel dynamics, the first study was conducted by Froude (1862) [2]
The SHIPMOVE (SHIP MOVEMENT MODEL - BR512014001163-1) model has been developed at the Universidade Federal do Rio Grande to describe ship movement in the time domain using variational theory and Lagrangian mechanics
Summary
The evolution of the shipbuilding industry has resulted in the development of new operating configurations for high speed ships [1]. Reasons for new operating configurations include: ocean articulated convoys, phase approach of the side discharge for tankers, and supplying fuel to military vessels. Based on studies of ship movement under the influence of waves, many theories have been developed for vessel dynamics, the first study was conducted by Froude (1862) [2]. In his study of ship movements, Froude assumed that the large angles of movement were the result of a successive set of waves, rather than a single wave. This author did not investigated perturbations produced by the ship on the flow.
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