Wave scattering by a floating porous elastic plate of arbitrary shape: A semi-analytical study

Thumbnail Image
Zheng, Siming
Meylan, Michael H.
Fan, Lin
Greaves, Deborah
Iglesias, Gregorio
Journal Title
Journal ISSN
Volume Title
Research Projects
Organizational Units
Journal Issue
In this paper, a semi-analytical model based on linear potential flow theory and an eigenfunction expansion method is developed to study wave scattering by a porous elastic plate with arbitrary shape floating in water of finite depth. The water domain is divided into the interior and exterior regions, corresponding to the domain beneath the plate and the rest extending towards infinite distance horizontally, respectively. The unknown coefficients in the potential expressions are determined by satisfying the continuity conditions for pressure and velocity at the interface of the two regions, together with the conditions for the motion/force at the edge of the plate, where the Fourier series expansion method is employed to deal with the terms associated with the radius function. A plate with three shapes – circular, cosine and elliptical – and three edge conditions are considered. We find that the largest deflection of the plate with a simply supported edge and a clamped edge is more sensitive to the change in porosity when the porosity is small. The power dissipated by an elliptical plate with its major axis perpendicular to the incident wave direction is the largest among the case studies for the majority of the porosity values tested.
Potential flow theory , Porous elastic plate , Eigenfunction expansion method , Arbitrary shape , Wave–structure interactions
Zheng, S., Meylan, M. H., Fan, L., Greaves, D. and Iglesias, G. (2020) 'Wave scattering by a floating porous elastic plate of arbitrary shape: A semi-analytical study', Journal of Fluids and Structures, 92, 102827 (18pp). doi: 10.1016/j.jfluidstructs.2019.102827
© 2019, Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC BY-NC-ND 4.0 licence.