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Formulas For Natural Frequency And Mode Shape

Abstract Maritime accidents involving ships carrying passengers may pose a high risk with respect to human casualties. For effective risk mitigation, an insight into the process of risk escalation is needed. This requires a proactive approach when it comes to risk modelling for maritime transportation systems. Most of the existing models are based on historical data on maritime accidents, and thus they can be considered reactive instead of proactive. This paper introduces a systematic, transferable and proactive framework estimating the risk for maritime transportation systems, meeting the requirements stemming from the adopted formal definition of risk. The framework focuses on ship–ship collisions in the open sea, with a RoRo/Passenger ship (RoPax) being considered as the struck ship. First, it covers an identification of the events that follow a collision between two ships in the open sea, and, second, it evaluates the probabilities of these events, concluding by determining the severity of a collision. The risk framework is developed with the use of Bayesian Belief Networks and utilizes a set of analytical methods for the estimation of the risk model parameters. Finally, a case study is presented, in which the risk framework developed here is applied to a maritime transportation system operating in the Gulf of Finland (GoF). The results obtained are compared to the historical data and available models, in which a RoPax was involved in a collision, and good agreement with the available records is found.

A framework for risk assessment for maritime transportation systems - a case study for open sea collisions involving RoPax vessels

A method for the direct assessment of ship collision damage and flooding risk in real conditions

Damage analysis of ship collisions with offshore wind turbine foundations

A predictive analytics method for maritime traffic flow complexity estimation in inland waterways

Ship collision analysis on offshore wind turbine monopile foundations

Extension of the Super-Elements Method to the Analysis of Oblique Collision Between Two Ships

This paper presents a user-friendly rapid prediction tool of damage to struck and striking vessels in a ship collision event. To do this, the so-called upper bound theorem is applied to calculate internal forces and energies of any substructure involved in the ships crushing process. At each increment of indentation, the total crushing force is transmitted to the external dynamics MCOL program, which calculates the global ship motion correction by solving the hydrodynamic force equilibrium equations. As a first step, the paper gives a brief description of the upper bound method originally developed for perpendicular collisions and recently enhanced for oblique ones. Then, the theory developed in MCOL program for large rotational ship movements is detailed. By comparing results obtained with and without MCOL, the importance of hydrodynamic effects is highlighted. Some simulation results are compared with results provided by classical nonlinear finite element calculations. Finally, by using the developed analytical tool, which mixes internal and external dynamics, different crushing scenarios including oblique collisions are investigated and the influence of some collision parameters like longitudinal and vertical impact location, impact angle, and struck ship velocity is studied.

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A Ship Collision Analysis Program Based on Upper Bound Solutions and Coupled with a Large Rotational Ship Movement Analysis Tool

The continuous increase of maritime traffic makes the risk of collisions greater and several incidents have been reported during the last few years. Research work has been done for tanker collisions: this paper describes numerical methods and tools used in the simulation of a ship-submarine collision, with a focus on the outer collision dynamics, i.e. global motion of the impacted submarine. Although ship-ship collisions have been widely studied, ship-submarine collisions are a particular case in that they exhibit two specific difficulties for researchers. First, the difference of displacements between the two ships leads to large amplitude rotational motions for the submarine and secondly the viscous hydrodynamic forces which appear during the roll movement are great. In this paper, a rigid body large rotation formulation and new hydrodynamic models are presented. Using a new version of the rigid body dynamic program MCOL, the influence of hydrodynamic effects is highlighted in the ship-submarine collisions. The importance of wave and viscous damping is discussed taking as examples two different ship submarine impact scenarios.

Hervé Le Sourne

Papers

A method for the direct assessment of ship collision damage and flooding risk in real conditions

Ship collision analysis on offshore wind turbine monopile foundations

Extension of the Super-Elements Method to the Analysis of Oblique Collision Between Two Ships

A Ship Collision Analysis Program Based on Upper Bound Solutions and Coupled with a Large Rotational Ship Movement Analysis Tool

External dynamics of ship-submarine collision