×
Le Sourne, Hervé; Besnard, Nicolas; Cheylan, Cedric; Buannic, Natacha

A ship collision analysis program based on upper bound solutions and coupled with a large rotational ship movement analysis tool. (English) Zbl 1244.74003

J. Appl. Math. 2012, Article ID 375686, 27 p. (2012).
Summary: 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.

MSC:

74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74R99 Fracture and damage
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction

Keywords:

MCOL

Software:

MCOL
PDF BibTeX XML Cite
\textit{H. Le Sourne} et al., J. Appl. Math. 2012, Article ID 375686, 27 p. (2012; Zbl 1244.74003)
Full Text: DOI

References:

[1] P. T. Pedersen, “Review and application of ship collision and grounding analysis procedures,” Marine Structures, vol. 23, no. 3, pp. 241-262, 2010.
[2] U. V. Minorsky, “An analysis of ship collisions with reference to nuclear power plants,” Journal of Ship Research, vol. 3, pp. 1-4, 1959.
[3] T. Wierzbicki and J. Culbertson-Driscoll, “Crushing damage of web girders under localized static loads,” Journal of Constructional Steel Research, vol. 33, no. 3, pp. 199-235, 1995.
[4] G. Wang and H. Ohtsubo, “Deformation of ship plate subjected to very large load,” in Proceedings of the 16th International Conference on Offshore Mechanics and Arctic Engineering (OMAE ’97), vol. 2, pp. 173-180, 1997.
[5] B. C. Simonsen, “Ship grounding on rock-I. Theory,” Marine Structures, vol. 10, no. 7, pp. 519-562, 1997.
[6] S. M. Zhang, The mechanics of ship collisions, Ph.D. Thesis, Department of Naval Architecture and Offshore Engineering, Technical University of Denmark, Lyngby, Denmark, 1999.
[7] L. Hong and J. Amdahl, “Crushing resistance of web girders in ship collision and grounding,” Marine Structures, vol. 21, no. 4, pp. 374-401, 2008.
[8] G. Wang, “Some recent studies on plastic behavior of plates subjected to large impact loads,” Journal of Offshore Mechanics and Arctic Engineering, vol. 124, no. 3, pp. 125-131, 2002.
[9] G. Wang and H. Ohtsubo, “Deformation of ship plate subjected to very large load,” Journal of Offshore Mechanics and Arctic Engineering, vol. 119, pp. 173-180, 1997.
[10] G. Wang and H. Ohtsubo, “An upper-bound solution to the problem of plate tearing,” Journal of Marine Science and Technology, vol. 1, no. 1, pp. 46-51, 1995.
[11] S. M. Zhang, “Plate tearing and bottom damage in ship grounding,” Marine Structures, vol. 15, no. 2, pp. 101-117, 2002.
[12] T. Wierzbicki, “Concertina tearing of metal plates,” International Journal of Solids and Structures, vol. 32, no. 19, pp. 2923-2943, 1995. · Zbl 0875.73083
[13] P. E. Zheng, Theorical analysis of wedge cutting through metal plates, Ph.D. Thesis, Massachusetts Institute of Technology, 1994.
[14] J. K. Paik, Ultimate Limit State Design of Steel-Plated Structures, John Wiley & Sons, Chichester, UK, 2003.
[15] S. R. Cho and H. S. Lee, “Experimental and analytical investigations on the response of stiffened plates subjected to lateral collisions,” Marine Structures, vol. 22, no. 1, pp. 84-95, 2009.
[16] Y. Ueda, S. M. H. Rashed, and J. K. Paik, “Buckling and ultimate strength interaction in plates and stiffened panels under combined inplane biaxial and shearing forces,” Marine Structures, vol. 8, no. 1, pp. 1-36, 1995.
[17] J. Amdahl, Energy absorption in ship-platform impact, Ph.D. Thesis, Department of Marine Technology, Norwegian University of Science and Technology, 1983.
[18] Y. Ueda and S. M. H. Rashed, “The idealized structural unit method and its application to deep girder structures,” Computers and Structures, vol. 18, no. 2, pp. 277-293, 1984. · Zbl 0523.73059
[19] M. Lützen, B. C. Simonsen, and P. T. Pedersen, “Rapid prediction of damage to struck and striking vessels in a collision even,” in Proceedings of the International Conference of Ship Structure for the New Millennium: Supporting Quality in Shipbuilding, Arlington, TX, USA, 2000.
[20] L. Buldgen, H. Le Sourne, N. Besnard, and P. H. Rigo, “Extension of the super-element method to the analysis of oblique collision between two ships,” Marine Structures. In press.
[21] A. J. Brown, “Collision scenarios and probabilistic collision damage,” Marine Structures, vol. 15, no. 4-5, pp. 335-364, 2002.
[22] H. Le Sourne, R. Donner, and F. Besnier, “External dynamics of ship-submarine collision,” in Proceedings of the International Conference on Collision and Grounding of Ships (ICCGS ’01), pp. 137-144, 2001.
[23] N. Jones, Structural Impact, Cambridge University Press, Cambridge, UK, 1997. · Zbl 1126.30315
[24] P. T. Pedersen, S. Valsgård, D. Olsen, and S. Spangenberg, “Ship impacts: bow collisions,” International Journal of Impact Engineering, vol. 13, no. 2, pp. 163-187, 1993.
[25] M. Lützen, Ship collision damage, Ph.D. Thesis, Department of Mechanical Engineering, Technical University of Denmark, 2001.
[26] B. C. Simonsen and H. Ocakli, “Experiments and theory on deck and girder crushing,” Thin-Walled Structures, vol. 34, no. 3, pp. 195-216, 1999.
[27] F. H. Imlay, “The complete expressions for added mass of a rigid body moving in an ideal fluid,” Tech. Rep. DTMB 1528, David Taylor Model Bassin, Washington, DC, USA, 1961.
[28] R. E. D. Bishop and W. G. Price, “Some comments on present-day ship dynamics,” Philosophical Transactions of the Royal Society A, vol. 334, no. 1634, pp. 187-197, 1991.
[29] M. J. Petersen, “Dynamics of ship collisions,” Ocean Engineering, vol. 9, no. 4, pp. 295-329, 1982.
[30] Principia, “SHARP 1 user’s manual,” 2008.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.