Komarov V.A., Korobkin A.A., Sturova I.V., Fedotova Z.I., Chubarov L.B.
This study of unsteady interaction between nonlinear surface waves and a floating elastic plate is motivated by perspective designs of very large artificial floating platforms. We present several numerical approaches for analysis of hydroelastic behavior of large-scale floating structures in solitary waves. Three nonlinear shallow water models are tested: classical nonlinear model without dispersion, weakly nonlinear and weakly dispersive model by Peregrine, strongly nonlinear and weakly dispersive model by Green and Nagdi. Both accuracy and efficiency of these models and proposed numerical method are verified through comparisons with available experimental results. The linear and nonlinear responses of floating elastic plate in waves are compared. It is shown that the interaction of a floating elastic plate with unsteady solitary wave of relatively small amplitude is well predicted by the weakly nonlinear shallow water model.