Faculty Publications
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Item Coupled boundary element method and finite element method for hydroelastic analysis of floating plate(Shanghai Jiaotong University, 2018) Shirkol, A.I.; Nasar, T.In this study, a numerical procedure has been proposed to analyze the equation of motion of the elastic plate which is elastic in nature and having shallow draft (small thickness) with arbitrary geometry subjected to linear wave force at a fixed frequency. Investigation on the convergence of maximum deflection of the floating plate has been carried out. A hybrid model has been developed (coupling between FEM and BEM) which contains same nodes, maintaining the same order and basis function in both the methods. To develop the relationship between the displacement of the plate and the velocity potential under the plate, two equations have been derived. The first equation is derived from the equation of motion for the plate and is solved by finite element method (FEM) to extract the displacement of the floating structure. The second equation is from water wave theory which is based on boundary integral equation that relates the displacement of the floating plate and velocity potential using free-surface Green's function. To get the displacement of floating elastic plate and velocity potential both the equations are solved simultaneously. Results are presented for modified Green's function which has been derived and validated with the results of Meylan (2004). The performance of the developed model is examined by the convergence rate, simulation time. It is learnt that the model works well in finite depth whereas its performance in infinite depth lags by an average of 20% in simulation time than the results obtained by Meylan (2004). © 2017 Shanghai Jiaotong UniversityItem Coupled BEM and FEM for the analysis of floating elastic plate with arbitrary shapes(Taylor and Francis Ltd. michael.wagreich@univie.ac.at, 2019) Shirkol, A.I.; Nasar, T.In order to analyse the hydroelastic behaviour of the floating thin elastic plate, a numerical model has been developed by coupling higher-order boundary element method (BEM) and finite element method (FEM). The present model is capable of investigating the very large floating structure of arbitrary shapes at finite and infinite water depths. The developed hybrid model contains the same nodes maintaining the same order and basis function in both the methods. The novelty of this work can be seen in the newly developed modified Green’s function. Two geometrical configurations (triangle and trapezoidal) have been analysed. The time required for convergence and deflection of the geometrical model have been captured. Furthermore, the results obtained by Wang and Meylan [2004. A higher-order-coupled boundary element and finite element method for the wave forcing of a floating elastic plate. J Fluids Struct. 19(4):557–572] are used to validate the developed numerical model. It is concluded that the model works better in finite water depth for trapezoidal shape. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.