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Analytical modelling of ship bottom grounding considering combined surge and heave motions
Institution:1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;2. gMarine, Houston, TX, USA;3. China Ship Scientific Research Center (CSSRC), Wuxi, 214082, China;1. National Engineering Research Center for Port Hydraulic Construction Technology, Tianjin Research Institute for Water Transport Engineering, M.O.T, Tianjin, 300456, China;2. State Key Laboratory of Ocean Engineering, Shanghai JiaoTong University, Shanghai, 200240, China;3. Key Laboratory for Damage Diagnosis of Engineering Structures of Hunan Province, College of Civil Engineering, Hunan University, Changsha, 410082, China;4. College of Civil Engineering and Architecture, Hainan University, Haikou, 570208, China;1. Department of Ocean Space Operations and Construction Engineering, Norwegian University of Science and Technology, Norway;2. Department of Marine Technology, Norwegian University of Science and Technology, Trondheim 7049, Norway;3. Department of Engineering Sciences, University of Agder, N-4898, Grimstad, Norway;4. School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, China;5. Seacraft AS, 6010,.Ålesund, Norway;1. Ocean College, Zhejiang University, Zhoushan, 316021, Zhejiang, China;2. Ocean Academy, Zhejiang University, Zhoushan, 316021, Zhejiang, China
Abstract:This paper provides a new contribution to the analytical treatment of ship grounding accidents. New formulations are proposed to assess the resisting force of outer/inner bottom plating and transverse floors when the vessel undergoes combined surge and heave motions during the grounding event. Considering shallow and sharp rocks described by parabolic functions, analytical solutions are derived from plastic limit analysis and validated by comparison to non-linear finite element simulations. A failure criterion is also proposed to trigger the rupture of the bottom plating and all the derived closed-form expressions are implemented into an in-house solver. The solver is then coupled to a 6-DOFs external dynamics program, which allows to account for the action of the surrounding water. Resulting tool is first validated on a full scale cruise ship by comparison to finite element results. It appears than although some discrepancies arise, especially in the response of transverse floors after rupture, the bottom damage distribution seems to be well predicted. Finally, the developed tool is used to quickly predict the grounding response of different types of ships and the influence of their mass and hydrodynamic properties on the damage extent is investigated.
Keywords:Ship grounding  Super element  Finite element  Plastic analysis  Simplified method
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