Dynamics of the Moving Ship at Complex and Sudden Impact of External Forces

Authors: Bo Liu, Liangtian Gao, Idrees Qasim

Abstract:

The impact of the storm leads to accidents even in the case of vessels that meet the computed safety criteria for stability. That is why, in order to clarify the causes of the accident and shipwreck, it is necessary to study the dynamics of the ship under the complex sudden impact of external forces. The task is to determine the movement and landing of the ship in the complex and sudden impact of external forces, i.e. when the ship's load changes over a relatively short period of time. For the solution, a technique was used to study the ship's dynamics, which is based on the compilation of a system of differential equations of motion. A coordinate system was adopted for the equation of motion of the hull and the determination of external forces. As a numerical method of integration, the 4^th order Runge-Kutta method was chosen. The results of the calculation show that dynamic deviations were lower for high-altitude vessels. The study of the movement of the hull under a difficult situation is performed: receiving of cargo, impact of a flurry of wind and subsequent displacement of the cargo. The risk of overturning and flooding was assessed.

Keywords: Dynamics, statics, roll, trim, dynamic load, tilt, vertical displacement.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1340410

References:

[1] Vaganov, A. B., Calculation of the buoyancy and stability of a ship on an electronic digital computer: Proc. allowance / AB Vaganov. Gorky, GPI them. A. A. Zhdanova, 1981. 74 p.
[2] A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, Pure and Applied Mathematics, John Wiley & Sons, New York, NY, USA, 1979.
[3] International Maritime Organization URL: http://www.imo.org/en/KnowledgeCentre/IndexofIMOResolutions/Maritime-Safety-Committee-(MSC)/Documents/MSC.267(85).pdf
[4] Vaganov A. B. A certificate of state registration of a computer program / A. B. Vaganov, I. D. Krasnokutsky // Calculation of hydrostatic characteristics and stability diagrams of ship corps of a complex geometric shape for an arbitrary landing // URL:http://www1.fips.ru/Archive/EVM/2014/2014.03.20/DOC/RUNW/000/002/014/612/348/document.pdf.
[5] J. H. Vugts, “The hydrodynamic forces and ship motions on oblique waves,” Tech. Rep. 150 S, Netherlands Ship Research Center, 1971.
[6] Vaganov A. B. Design of the theoretical hull of the vessel by an analytical method and calculation of seaworthiness on a computer: training. allowance / A. B. Vaganov, A. V. Vasiliev, V. A. Kovalev. Gorky, GPI them. A. A. Zhdanov. 1989. 81 p.
[7] M. A. S. Neves and C. A. Rodríguez, “On unstable ship motions resulting from strong non-linear coupling,” Ocean Engineering, vol. 33, no. 14-15, pp. 1853–1883, 2006.
[8] A. H. Nayfeh, D. T. Mook, and L. R. Marshall, “Nonlinear coupling of pitch and roll modes in ship motions,” Journal of Hydronautics, vol. 7, no. 4, pp. 145–152, 1973. View at Google Scholar.
[9] J. R. Paulling and R. M. Rosenberg, “On unstable ship motions resulting from nonlinear coupling,” Journal of Ship Research, vol. 3, no. 1, pp. 36–46, 1959.
[10] M. R. Haddara, “On the stability of ship motion in regular oblique waves,” International Shipbuilding Progress, vol. 18, no. 207, pp. 416–434, 1971.