On oblique interaction of water waves with semi-infinite submerged elastic plate-Reference-Cited by-同舟云学术

On oblique interaction of water waves with semi-infinite submerged elastic plate

Published:2024-06-24 Issue:9 Volume:79 Page:909-924
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Mirza Tooba¹,Hassan Mahmood-ul¹,Nawaz R.²

Affiliation:

1. Department of Mathematics , COMSATS University , Park Road, Chak Sehzad , Islamabad , Pakistan

2. Center for Applied Mathematics and Bioinformatics (CAMB) , 59190 Gulf University for Science and Technology , 32093 Hawally , Kuwait

Abstract

Abstract This article relates with the interaction of water waves obliquely incident on a semi-infinite submerged elastic plate of insignificant thickness. The solution is obtained using method of mode matching. Reflection coefficients under the variation of various physical parameters: submergence depth, angle of incidence, stiffness of elastic plate and Poisson’s ratio, for two different edge conditions (i) pinned edge condition and (ii) sliding edge condition are discussed. Convergence and validation of results is also given. Behaviour of the velocity potentials around semi-infinite submerged elastic plate for different physical parameters are also analyzed. The consequences are explained through numerical and graphical results. More over energy balance relation is also discussed.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/zna-2024-0026/pdf

Reference28 articles.

1. V. A. Squire, “Ocean wave interactions with sea ice: a reappraisal,” Annu. Rev. Fluid Mech., vol. 52, pp. 37–60, 2020, https://doi.org/10.1146/annurev-fluid-010719-060301.

2. M. H. Meylan and V. A. Squire, “Response of a circular ice floe to ocean waves,” J. Geophys. Res., vol. 101, no. C4, pp. 8869–8884, 1996. https://doi.org/10.1029/95jc03706.

3. M. Lamas-Pardo, G. Iglesias, and L. Carral, “A review of very large floating structures (VLFS) for coastal and offshore uses,” Ocean Eng., vol. 109, pp. 677–690, 2015, https://doi.org/10.1016/j.oceaneng.2015.09.012.

4. C. Zhao, J. Zhang, and W. Huang, “Vibration reduction of floating elastic plates in water waves,” Mar. Struct., vol. 20, no. 1–2, pp. 71–99, 2007. https://doi.org/10.1016/j.marstruc.2007.03.001.

5. W. R. Dean, “On the reflection of surface waves by a submerged plane barrier,” Proc. Camb. Philol. Soc., vol. 41, no. 3, pp. 231–238, 1954. https://doi.org/10.1017/s030500410002260x.

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