Abstract：Ship collision accidents are considered to be one of the most severe potential hazards for the safe navigation. Developing rapid prediction methods for ship collision analysis is of great significance for the crashworthiness design and optimization. This paper studies the deformation mechanisms of the deck structure of a single-hulled vessel under the large indentation and oblique collision scenarios by a raked bow. According to the observed structural deformation modes, the deck structure is divided into four types of members. Simplified theoretical models are established for the corresponding deformation modes of these members. The analytical formulae of structural resistance are further derived based on the upper bound theorem. The method considers the evolution of two types of deformation modes and the coupling effects of different component during the collision process. Through the comparisons of several collision scenarios for verification, it is found that the results from the newly developed analytical method agree well with the numerical results. The research outcomes could highly benefit the engineering application for the damage assessment of deck structures under head-on and oblique collision scenarios with large impact indentation.
[1] Zhang S M. The mechanics of ship collisions (PhD thesis) [D]. Department of Naval Architecture and Offshore Engineering, Technical University of Denmark,1999.
[2] Haris S, Amdahl J. Analysis of ship–ship collision damage accounting for bow and side deformation interaction[J]. Marine Structures,2013,32:18-48.
[3] Gao Z, Hu Z,Wang G, et al. An analytical method of predicting the response of FPSO side structures to head-on collision[J]. Ocean Engineering, 2014,87(0):121-135.
[4] Wang G, Arita K, Liu D. Behavior of a double hull in a variety of stranding or collision scenarios[J]. Marine Structures, 2000, 13(3):147-187.
[5] Yamada Y, Pedersen P. A benchmark study of procedures for analysis of axial crushing of bulbous bows[J]. Marine Structures,2007,21(2):257-293.
[6] Sun B, Hu Z, Wang G. An analytical method for predicting the ship side structure response in raked bow collisions[J]. Marine Structures,2015,41:288-311.
[7] Yu Z,Hu Z,Wang G. Plastic mechanism analysis of structural performances for stiffeners on bottom longitudinal web girders during a shoal grounding accident[J]. Marine Structures, 2015, 40:134-158.
[8] Zhang S M. Plate tearing and bottom damage in ship grounding [J]. Marine Structures,2002,15(2):101-117.
[9] Hong L,Amdahl J. Crushing resistance of web girders in ship collision and grounding[J]. Marine Structures,2008;21(4): 374-401.
[10] Liu B, Soares C G. Analytical method to determine the crushing behaviour of girders with stiffened web[J]. International Journal of Impact Engineering,2016,93:49-61.
[11] Liu B, Villavicencio R, Soares C G. Simplified analytical method to evaluate tanker side panels during minor collision incidents[J].International Journal of Impact Engineering, 2015, 78:20-33.
[12] Wang Z P, Liu K, Chen G, et al. An analytical method to assess the structural responses of ship side structures by raked bow under oblique collision scenarios[J]. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment,2021,235(3):773-791.
[13] 王泽平,胡志强,刘昆,等.球鼻船艏斜撞船舶舷侧结构的变形机理研究[J].振动与冲击,2022,41(11):10-17.
WANG Ze-ping, HU Zhi-qiang Q, LIU Kun, et al. Research on the deformation mechanism of ship side structure impacted obliquely by a bulbous bow[J] Journal of Vibration and Shock, 2022,41(11):10-17.
[14] Norsok N-904.Design of steel structures，appendix A[M]. Design Against Accidental Actions,2004.
[15] Jones N. Structural impact[M]. Cambridge: Cambridge University Press, 1989．
[16] Petersen M J.Dynamic of ship collisions[J].Ocean Engineering, 1982, 9(4):295-329.
[17] Paik J K,Chung J Y,Chun M S. On quasi-static crushing of a stiffened square tube[J]. Journal of Ship Research,1996,40 (03) :258-267.
[18] Wang G. Structural analysis of ship collision and grounding [D]. Department of Naval Architecture and Ocean Engineering, University of Tokyo, Tokyo,Japan,1995.
[19] Yang P D C,Caldwell J B. Collision energy absorption of ships' bow structures[J]. International Journal of Impact Engineering, 1988,7(2):181-196.
[20] Hogström P,Ringsberg J W,Johnson E. An experimental and numerical study of the effects of length scale and strain state on the necking and fracture behaviours in sheet metals[J]. International Journal of Impact Engineering,2009,36(10):1194-1023.
[21] Zhang M,Sun Q B,Liu J X,et al. A study of the rupture behavior of a ship side plate laterally punched by a full-shape bulbous bow indenter[J]. Ocean Engineering,2019,182:48-60.
[22] Zhou H Y,Wang D Y. Large deflection resistance and fracture of panels subjected to the lateral penetration[J]. Ocean Engineering, 2022, 266(P2):112773.
