A Lagrangian approach to nonlinear modeling of anti-roll tanks

This paper presents two novel nonlinear models of u-shaped anti-roll tanks for ships, and their linearizations. In addition, a third simplified nonlinear model is presented. The models are derived using Lagrangian mechanics. This formulation not only simplifies the modeling process, but also allows one to obtain models that satisfy energy-related physical properties. The proposed nonlinear models and their linearizations are validated using model-scale experimental data. Unlike other models in the literature, the nonlinear models in this paper are valid for large roll amplitudes. Even at moderate roll angles, the nonlinear models have three orders of magnitude lower mean square error relative to experimental data than the linear models.

Validation of a container ship model for parametric rolling

The objective of this work is to formulate a nonlinear, coupled model of a container ship during parametric roll resonance, and to validate the model using experimental data.

Fenómenos dinámicos de estabilidad de un buque en olas longitudinales: resonancia paramétrica. Influencia en el proyecto y equipo. Guía operacional al capitán

El fenómeno de balance paramétrico se ha convertido en un tema de actualidad en los últimos años debido al aumento de accidentes relacionados y las discusiones en OMI debido a su indiscutible importancia en la seguridad del buque, su carga y tripulación. Por esta razón, su estudio ha atraído el interés de universidades, administraciones y sociedades de clasificación. Esta tesis trata el fenómeno de balance paramétrico desde diferentes puntos de vista. Primero, se estudiaran los diferentes escenarios donde el fenómeno de balance paramétrico ha ocurrido para entender cómo se desarrolla el fenómeno en la vida real, así como sus implicaciones en la seguridad de las personas y carga abordo. Un modelo matemático no lineal de movimiento de balance desacoplado es propuesto. Este modelo se basa en la aproximación cuadrática del momento de amortiguamiento junto con un brazo adrizante dependiente del tiempo. Este modelo es validado con datos experimentales del Canal de Ensayos de la ETSI Navales (UPM) relativos a un buque de pesca de 34.5m de eslora y dos cubiertas para diferentes casos de olas longitudinales. Se encuentra una correspondencia muy satisfactoria en términos de fase y amplitud entre el modelo teórico y los datos de canal para el caso en particular. El modelo es comparado con el estado del arte de la tecnología disponible actualmente, así como con los requisitos mínimos que están siendo discutidos en OMI relativos a los Criterios de Estabilidad de Segunda Generación. Finalmente, el fenómeno es revisado desde los puntos de vista de diseño y operacional para entender los parámetros relevantes detrás del fenómeno y conocer/aplicar las herramientas disponibles y medios para afrontar/mitigar este fenómeno. ABSTRACT A parametric roll resonance phenomenon has become a very relevant technical issue in recent years due the increasing number of accidents related and the ongoing discussions at the IMO due to its undisputed importance in the safety of the ship, its cargo and crew. For this reason, its study has attracted the interest of universities, regulatory bodies and classification societies. This thesis deals with this phenomenon of parametric roll resonance from different points of view. First, we will look at different real scenarios where parametric roll resonance phenomena has occurred in order to further understand how it is developed in real life and its implications for the safety of the people and cargo onboard. A non-linear mathematical model of the uncoupled roll motion is also presented. This model is based on a classic quadratic approximation of the damping momentum together with a time-varying restoring arm. This model is validated with real data taken from experimental results of the E.T.S.I. Navales Towing Tank on a trawler of two decks of 34.5 m. length for different cases of longitudinal waves. A very satisfactory correspondence, in terms of phase and amplitude, is found between the theoretical model presented and the real data on this particular case. The model is compare with the state-of-the-art technology currently available as well as with the minimum requirements currently being discussed as part of the IMO SGISC. Finally, the phenomenon is reviewed from design and operational aspects to understand the underlying parameters and know the available tools and ways to tackle/mitigate this phenomenon.

Time-domain simulation of wave-induced ship motions by a Rankine panel method

In this thesis, a numerical program has been developed to simulate the wave-induced ship motions in the time domain. Wave-body interactions have been studied for various ships and floating bodies through forced motion and free motion simulations in a wide range of wave frequencies. A three-dimensional Rankine panel method is applied to solve the boundary value problem for the wave-body interactions. The velocity potentials and normal velocities on the boundaries are obtained in the time domain by solving the mixed boundary integral equations in relation to the source and dipole distributions. The hydrodynamic forces are calculated by the integration of the instantaneous hydrodynamic pressures over the body surface. The equations of ship motion are solved simultaneously with the boundary value problem for each time step. The wave elevation is computed by applying the linear free surface conditions. A numerical damping zone is adopted to absorb the outgoing waves in order to satisfy the radiation condition for the truncated free surface. A numerical filter is applied on the free surface for the smoothing of the wave elevation. Good convergence has been reached for both forced motion simulations and free motion simulations. The computed added-mass and damping coefficients, wave exciting forces, and motion responses for ships and floating bodies are in good agreement with the numerical results from other programs and experimental data.