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Archive of Applied Mechanics

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15-07-2023 | Original

Impact of a porous structure in mitigating wave effect on a floating elastic plate in a two-layer fluid

Authors: Koushik Kanti Barman, Swaroop Nandan Bora

Published in: Archive of Applied Mechanics | Issue 10/2023

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Abstract

The interaction of oblique waves with a porous structure placed in front of a floating elastic plate, which is an idealization of a very large floating structure in a two-layer fluid, is examined in the context of linear water wave theory. The porous structure, treated as a breakwater, is placed at a finite distance from the floating elastic plate to mitigate the hydrodynamic response of the elastic plate. To address the associated boundary value problem, matched eigenfunction expansion method is employed. The solution is computed, and the impact of the porous structure on the hydrodynamic coefficients associated with the floating plate such as deflection of the plate, bending moment, shear force, mooring line effect, wave scattering and trapping is graphically illustrated. The suitable physical properties for ideal plate characteristics are shown by a comparison of various edge conditions. It is recommended that an appropriate breakwater width maximizes wave reflection and minimizes transmission. Waveload on the plate gets reduced by appropriate parameter values connected with the porous breakwater. The findings of this study are expected to have an effect on how marine infrastructures are to be designed to mitigate wave force.

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Hermans, A.J.: Interaction of free-surface waves with a floating dock. J. Eng. Math. 45(1), 39–53 (2003). https://doi.org/10.1023/A:1022042120610MathSciNetCrossRefMATH

Sahoo, T., Yip, T.L., Chwang, A.T.: Scattering of surface waves by a semi-infinite floating elastic plate. Phys. Fluids 13(11), 3215–3222 (2001). https://doi.org/10.1063/1.1408294CrossRefMATH

Karmakar, D., Sahoo, T.: Scattering of waves by articulated floating elastic plates in water of infinite depth. Mar. Struct. 18(5), 451–471 (2005). https://doi.org/10.1016/j.marstruc.2006.01.002CrossRef

Teng, B., Cheng, L., Liu, S.X., Li, F.J.: Modified eigenfunction expansion methods for interaction of water waves with a semi-infinite elastic plate. Appl. Ocean Res. 23(6), 357–368 (2001). https://doi.org/10.1016/S0141-1187(02)00005-6CrossRef

Koley, S.: Water wave scattering by floating flexible porous plate over variable bathymetry regions. Ocean Eng. 214, 107686 (2020). https://doi.org/10.1016/j.oceaneng.2020.107686CrossRef

Kaur, A., Martha, S.C.: Interaction of surface water waves with an elastic plate over an arbitrary bottom topography. Arch. Appl. Mech. 92(11), 3361–3379 (2022). https://doi.org/10.1007/s00419-022-02241-yCrossRef

Sahoo, G., Singla, S., Martha, S.C.: Scattering of oblique water waves by thick porous structure and thin elastic plate. Ocean Eng. 248, 110526 (2022). https://doi.org/10.1016/j.oceaneng.2022.110526CrossRef

Fox, C., Squire, V.A.: Reflection and transmission characteristics at the edge of shore fast sea ice. J. Geophys. Res. 95(C7), 11629–11639 (1990)CrossRef

Meylan, M.H., Squire, V.A.: Response of a circular ice floe to ocean waves. J. Geophys. Res. C: Oceans 101(C4), 8869–8884 (1996). https://doi.org/10.1029/95JC03706CrossRef

10.

Chen, X.-J., Wu, Y.-S., Cui, W.-C., Jensen, J.J.: Review of hydroelasticity theories for global response of marine structures. Ocean Eng. 33(3–4), 439–457 (2006). https://doi.org/10.1016/j.oceaneng.2004.04.010CrossRef

11.

Wang, C.M., Tay, Z.Y.: Very large floating structures: Applications, research and development. Procedia Eng. 14, 62–72 (2011). https://doi.org/10.1016/j.proeng.2011.07.007. The Proceedings of the Twelfth East Asia-Pacific Conference on Structural Engineering and Construction

12.

Wang, C.M., Tay, Z.Y., Takagi, K., Utsunomiya, T.: Literature review of methods for mitigating hydroelastic response of VLFS under wave action. Appl. Mech. Rev. 63(3), (2010). https://doi.org/10.1115/1.4001690

13.

Tay, Z.Y., Wang, C.M.: Reducing hydroelastic response of very large floating structures by altering their plan shapes. Ocean Syst. Eng. 2(1), 69–81 (2012)CrossRef

14.

Singla, S., Martha, S.C., Sahoo, T.: Mitigation of structural responses of a very large floating structure in the presence of vertical porous barrier. Ocean Eng. 165, 505–527 (2018). https://doi.org/10.1016/j.oceaneng.2018.07.045CrossRef

15.

Singla, S., Sahoo, T., Martha, S.C., Behera, H.: Effect of a floating permeable plate on the hydroelastic response of a very large floating structure. J. Eng. Math. 116(1), 49–72 (2019). https://doi.org/10.1007/s10665-019-10002-0MathSciNetCrossRefMATH

16.

Sturova, I.V.: Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth. J. Fluid Mech. 637, 305–325 (2009). https://doi.org/10.1017/S0022112009990504CrossRefMATH

17.

Karmakar, D., Guedes Soares, C.: Oblique scattering of gravity waves by moored floating membrane with changes in bottom topography. Ocean Eng. 54, 87–100 (2012). https://doi.org/10.1016/j.oceaneng.2012.07.005CrossRef

18.

Papathanasiou, T.K., Karperaki, A., Theotokoglou, E.E., Belibassakis, K.A.: A higher order fem for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment. Proc. R. Soc. A: Math. Phys. Eng. Sci. 471(2173), (2015). https://doi.org/10.1098/rspa.2014.0643

19.

Bennetts, L.G., Williams, T.D.: Water wave transmission by an array of floating discs. Proc. R. Soc. A: Math. Phys. Eng. Sci. 471(2173), 20140698 (2015). https://doi.org/10.1098/rspa.2014.0698CrossRef

20.

Massel, S.R.: Internal gravity waves in the shallow seas, 1st edn. In: GeoPlanet: Earth and Planetary Sciences. Springer (2015)

21.

Bhattacharjee, J., Sahoo, T.: Flexural gravity wave problems in two-layer fluids. Wave Motion 45(3), 133–153 (2008). https://doi.org/10.1016/j.wavemoti.2007.04.006MathSciNetCrossRefMATH

22.

Xu, F., Lu, D.Q.: Wave scattering by a thin elastic plate floating on a two-layer fluid. Int. J. Eng. Sci. 48(9), 809–819 (2010). https://doi.org/10.1016/j.ijengsci.2010.04.007MathSciNetCrossRefMATH

23.

Lin, Q., Lu, D.Q.: Hydroelastic interaction between obliquely incident waves and a semi-infinite elastic plate on a two-layer fluid. Appl. Ocean Res. 43, 71–79 (2013). https://doi.org/10.1016/j.apor.2013.07.009CrossRef

24.

Sollitt, C.K., Cross, R.H.: Wave transmissions through permeable breakwaters. In: Coastal Engineering 1972. Proceedings of the 13th International Coastal Engineering Conference, Vancouver, pp. 1827–1846. American Society of Civil Engineers, Virginia (1972)

25.

Madsen, P.A.: Wave reflection from a vertical permeable wave absorber. Coast Eng. 7(4), 381–396 (1983)CrossRef

26.

Dalrymple, R.A., Losada, M.A., Martin, P.A.: Reflection and transmission from porous structures under oblique wave attack. J. Fluid Mech. 224, 625–644 (1991)CrossRefMATH

27.

Losada, I.J., Silva, R., Losada, M.A.: 3-D non-breaking regular wave interaction with submerged breakwaters. Coast Eng. 28(1), 229–248 (1996). https://doi.org/10.1016/0378-3839(96)00019-1CrossRef

28.

Behera, H., Sahoo, T.: Gravity wave interaction with porous structures in two-layer fluid. J. Eng. Math. 87, 73–97 (2014). https://doi.org/10.1007/s10665-013-9667-0MathSciNetCrossRefMATH

29.

Sharma, M., Kaligatla, R.B., Sahoo, T.: Wave interaction with a submerged floating tunnel in the presence of a bottom mounted submerged porous breakwater. Appl. Ocean Res. 96, 102069 (2020). https://doi.org/10.1016/j.apor.2020.102069CrossRef

30.

Tabssum, S., Ramakrishnan, B.: Wave interaction with a two-layer porous breakwater in the presence of step-type bottom. Acta Mech. Sin. 38(11), 321566 (2022)MathSciNetCrossRef

31.

Barman, K.K., Bora, S.N.: Linear water wave interaction with a composite porous structure in a two-layer fluid flowing over a step-like sea-bed. Geophys. Astrophys. Fluid Dyn. 115(5–6), 577–611 (2021). https://doi.org/10.1080/03091929.2020.1842391MathSciNetCrossRefMATH

32.

Barman, K.K., Bora, S.N.: Scattering and trapping of water waves by a composite breakwater placed on an elevated bottom in a two-layer fluid flowing over a porous sea-bed. Appl. Ocean Res. 113, 102544 (2021). https://doi.org/10.1016/j.apor.2021.102544CrossRef

33.

Barman, K.K., Bora, S.N.: Interaction of oblique water waves with a single chamber caisson type breakwater for a two-layer fluid flow over an elastic bottom. Ocean Eng. 238, 109766 (2021). https://doi.org/10.1016/j.oceaneng.2021.109766CrossRef

34.

Barman, K.K., Bora, S.N.: Elastic bottom effects on ocean water wave scattering by a composite caisson-type breakwater placed upon a rock foundation in a two-layer fluid. Int. J. Appl. Mech. 13(10), 2150114 (2021). https://doi.org/10.1142/S1758825121501143CrossRef

35.

Ren, X., Wang, K.H.: Mooring lines connected to floating porous breakwaters. Int. J. Eng. Sci. 32(10), 1511–1530 (1994). https://doi.org/10.1016/0020-7225(94)90161-9CrossRefMATH

36.

Karmakar, D., Guedes Soares, C.: Scattering of gravity waves by a moored finite floating elastic plate. Appl. Ocean Res. 34, 135–149 (2012). https://doi.org/10.1016/j.apor.2011.09.002CrossRef

37.

Behera, H., Sahoo, T., Ng, C.-O.: Wave scattering by a partial flexible porous barrier in the presence of a step-type bottom topography. Coast Eng. J. 58(3), 1650008–1165000826 (2016). https://doi.org/10.1142/S057856341650008XCrossRef

38.

Mandal, S., Behera, H., Sahoo, T.: Oblique wave interaction with porous, flexible barriers in a two-layer fluid. J. Eng. Math. 100, 1–31 (2016). https://doi.org/10.1007/s10665-015-9830-xMathSciNetCrossRefMATH

39.

Behera, H., Mandal, S., Sahoo, T.: Oblique wave trapping by porous and flexible structures in a two-layer fluid. Phys. Fluids 25(11), 112110 (2013)CrossRef

40.

Mendez, F.J., Losada, I.J.: A perturbation method to solve dispersion equations for water waves over dissipative media. Coast Eng. 51, 81–89 (2004)CrossRef

41.

Banerjee, D.K., Pao, Y.: Thermoelastic waves in anisotropic solids. J. Acoust. Soc. Am. 56(5), 1444–1454 (1974). https://doi.org/10.1121/1.1903463CrossRefMATH

Title: Impact of a porous structure in mitigating wave effect on a floating elastic plate in a two-layer fluid
Authors: Koushik Kanti Barman
Swaroop Nandan Bora
Publication date: 15-07-2023
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 10/2023
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-023-02475-4

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