Time-domain strip method with memory-effect function considering the body nonlinearity of ships in large waves (second report)

Abstract

In the previous paper, one of the authors proposed a new time-domain nonlinear strip method for a rigid body, in which hydrodynamic forces are evaluated by a convolution integral with the memory function computed for the instantaneous submerged part of the transverse sections, and the Froude–Krylov and hydrostatic forces are evaluated on the instantaneous wetted hull surface. In this paper, first, that nonlinear strip method is extended for an elastic body using a method of superposition of elastic mode functions, which enabled us to investigate whipping phenomena due to impulsive large waves. Second, the influence of different approximations of the pressure above the still-water surface is investigated, and then the results calculated by the proposed nonlinear strip method are compared with the experimental ones. Third, whipping phenomena observed for an elastic body at higher Froude numbers are studied through a comparison between computed and measured results. Higher-frequency vibrations in the vertical bending moment due to slamming are discussed. Furthermore, the wave load due to green water on deck is calculated by introducing a practical model, and the effects of the green water on responses of both rigid and elastic bodies are investigated.