Dynamic analysis in beam element of wave-piercing Catamarans undergoing slamming load based on mathematical modelling

Dynamic analysis of wave-piercing Catamarans undergoing slamming has tracked widespread attention in the design of marine structures. Hence, our investigation on the dynamic response relies heavily on the beam element of wave-piercing Catamarans subjected to slamming load. In the present paper, a numerical method and a mathematical modelling are developed to analyze the dynamic response of beam elements in wave-piercing Catamarans due to impacting moving fluid load. With assuming the initial phase of slamming force, an elastic linear hyperbolic shear deformation beam theory (HSDBT) with uniform thickness is utilized for modelling. For presenting a more realistic model, the porosity and structural damping of the Aluminum beam are considered. In addition, for improving the stiffness of the mentioned structure against the slamming load, graphene platelet (GPLs) are used for reinforcement of the beam. To capture the dynamic deflection of the porous GPL-reinforced beam, differential quadrature method (DQM) along with Newmark method is utilized. The aim of this work is to illustrate the influences of deadrise angle, vertical speed of impact, GPLs volume percent and distribution, geometrical parameters, porosity, structural damping and boundary conditions on the dynamic deflection of the structure. The results indicated that reinforcing the facesheets by CNTs reduces the dynamic deflection up to 59%.