Year: 2021
Author: Ping Wang, Dongqiang Lu
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 3 : pp. 724–734
Abstract
Analytical study on nonlinear hydroelastic waves beneath a very large floating structure or a thin ice sheet floating on deep water is presented. Adopting the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis to describe the floating sheet, we use the potential flow theory with the dynamic boundary condition expressing a balance among the hydrodynamic, surface tension, inertial, and elastic forces. For the case of incident progressive waves, the influences of different physical parameters on the hydroelastic waves are discussed with the aid of the homotopy analysis method. We compare the hydroelastic wave deflections based on nonlinear Plotnikov and Toland's model with those obtained by the corresponding linear Euler-Bernoulli model. It is found that the behaviors of both models are almost the same for small amplitudes, while the nonlinear plate deflections increase greatly at large amplitudes. Further, the graphical comparisons are presented to show the behavior of the angular frequency versus wave amplitudes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0307
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 3 : pp. 724–734
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Nonlinear hydroelastic waves incident progressive waves special Cosserat theory of hyperelastic shells homotopy analysis method.