Ship grounding on rock-I. Theory

摘要: Abstract This paper presents a set of analytical expressions which can be used to calculate the reaction force on ship bottom deformed by conical rock with rounded tip. Closed-form solutions are given for resistance inner and outer plating, longitudinal stiffeners, girders bulkheads transverse frames, floors bulkheads. The derived use an energy method or type ‘upper bound’ rigorously takes into account effects large plastic deformations, friction fracture. A high level generality methodology has been optained postulating global mode deformation structure around one free parameter, plate split angle, related shape mode. It is assumed that intersections between structural components stay intact during entire process so individual members according found minimizing dissipation from all respect angle. In subsequent (B.C. Simonsen, Ship grounding rock—II. Validation application, Marine structures 10 (1997) 563–584) it shown theoretical model predicts damage four scale tests accidental errors less than 10%. Moreover, illustrated example evaluation scenario sufficiently fast in probabilistic framework Formal Safety Assessment.