Technical Papers
Jun 8, 2022

Dual Poroviscoelastic Wave Barriers for Compliant Floating Platforms

Publication: Journal of Engineering Mechanics
Volume 148, Issue 8

Abstract

In this study, the use of submerged dual poroviscoelastic barriers with finite depth enclosing a floating compliant platform that supports utility systems, such as a solar photovoltaic system, on top is investigated as a protection measure against surface wave action. An analytical analysis of the wave interaction with the barrier-platform configuration is performed using eigenfunction expansion with least square approximation that takes full account of the hydroelastic behavior of the barriers. The results show that the platform displacement decreases as the barrier hydroelastic regime shifts from plate-like to membrane-like with increasing tension. In addition, a longer barrier at the incident front side of the platform yields better performance than an equal length on both sides given the same total barrier dimension. An increase in the porosity of the barriers reduces the displacement and wave loading on the barriers but leads to simultaneous higher wave transmission and larger platform displacement. The higher transmission is reduced by the internal dissipation properties of the barrier material. Overall, the dual barriers with sufficient length and appropriate poroviscoelastic properties can significantly improve the stability of the floating platform, and its performance can be tuned through varying the hydroelastic regimes and barrier-length combinations.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author on reasonable request, including MATLAB code.

References

Abul-Azm, A. G. 1994. “Wave diffraction by double flexible breakwaters.” Appl. Ocean Res. 16 (2): 87–99. https://doi.org/10.1016/0141-1187(94)90005-1.
Andrianov, A. I., and A. J. Hermans. 2003. “The influence of water depth on the hydroelastic response of a very large floating platform.” Mar. Struct. 16 (5): 355–371. https://doi.org/10.1016/S0951-8339(03)00023-6.
Banerjea, S., M. Kanoria, D. P. Dolai, and B. N. Mandal. 1996. “Oblique wave scattering by submerged thin wall with gap in finite-depth water.” Appl. Ocean Res. 18 (6): 319–327. https://doi.org/10.1016/S0141-1187(97)00002-3.
Bi, C., M. S. Wu, and A. W.-K. Law. 2021a. “Performance of dual viscoelastic wave barrier system with unequal draft.” J. Eng. Mech. 148 (1): 04021129. https://doi.org/10.1061/(ASCE)EM.1943-7889.0002049.
Bi, C., M. S. Wu, and A. W.-K. Law. 2021b. “Stabilisation of compliant floating platforms with sheet barriers under wave action.” Ocean Eng. 240 (Nov): 109933. https://doi.org/10.1016/j.oceaneng.2021.109933.
Cazzaniga, R., and M. Rosa-Clot. 2021. “The booming of floating PV.” Sol. Energy 219 (May): 3–10. https://doi.org/10.1016/j.solener.2020.09.057.
Chakraborty, R., and B. N. Mandal. 2014. “Scattering of water waves by a submerged thin vertical elastic plate.” Arch. Appl. Mech. 84 (2): 207–217. https://doi.org/10.1007/s00419-013-0794-x.
Dai, J., C. Zhang, H. V. Lim, K. K. Ang, X. Qian, J. L. H. Wong, S. T. Tan, and C. L. Wang. 2020. “Design and construction of floating modular photovoltaic system for water reservoirs.” Energy 191 (Jan): 116549. https://doi.org/10.1016/j.energy.2019.116549.
Das, S., and S. N. Bora. 2018. “Oblique water wave damping by two submerged thin vertical porous plates of different heights.” Comput. Appl. Math. 37 (3): 3759–3779. https://doi.org/10.1007/s40314-017-0545-7.
Dean, W. R. 1945. “On the reflexion of surface waves by a submerged plane barrier.” Math. Proc. Cambridge Philos. Soc. 41 (3): 231–238. https://doi.org/10.1017/S030500410002260X.
Deng, Z., Z. Huang, and A. W. K. Law. 2014. “Wave power extraction from a bottom-mounted oscillating water column converter with a V-shaped channel.” Proc. R. Soc. London, Ser. A Math. Phys. Eng. Sci. 470 (2167): 20140074. https://doi.org/10.1098/rspa.2014.0074.
Findley, W. N., J. S. Lai, and K. Onaran. 1976. Creep and relaxation of nonlinear viscoelastic materials, with an introduction to linear viscoelasticity. Amsterdam, Netherlands: North-Holland Pub.
Fox, C., and V. A. Squire. 1994. “On the oblique reflexion and transmission of ocean waves at shore fast sea ice.” Philos. Trans. R. Soc. London. Ser. A Phys. Eng. Sci. 347 (1682): 185–218. https://doi.org/10.1098/rsta.1994.0044.
Gayathri, R., and H. Behera. 2020. “Mitigation of wave force on a circular flexible plate by a surface-piercing flexible porous barrier.” Proc. Inst. Mech. Eng. Part M J. Eng. Marit. Environ. 235 (2): 586–599. https://doi.org/10.1177/1475090220963991.
Gayathri, R., P. Kar, H. Behera, and T. Sahoo. 2020. “Oblique wave scattering by a floating bridge in the presence of a vertical permeable flexible barrier.” J. Offshore Mech. Arct. Eng. 143 (2), https://doi.org/10.1115/1.4047928.
Heibaum, M. 2014. “Geosynthetics for waterways and flood protection structures: Controlling the interaction of water and soil.” Geotext. Geomembr. 42 (4): 374–393. https://doi.org/10.1016/j.geotexmem.2014.06.003.
Hooper, T., A. Armstrong, and B. Vlaswinkel. 2021. “Environmental impacts and benefits of marine floating solar.” Sol. Energy 219 (May): 11–14. https://doi.org/10.1016/j.solener.2020.10.010.
Ikhennicheu, M., B. Danglade, R. Pascal, V. Arramounet, Q. Trébaol, and F. Gorintin. 2021. “Analytical method for loads determination on floating solar farms in three typical environments.” Sol. Energy 219 (May): 34–41. https://doi.org/10.1016/j.solener.2020.11.078.
Karmakar, D., and C. Guedes Soares. 2014. “Wave transformation due to multiple bottom-standing porous barriers.” Ocean Eng. 80 (Apr): 50–63. https://doi.org/10.1016/j.oceaneng.2014.01.012.
Kim, M. H., and S. T. Kee. 1996. “Flexible-membrane wave barrier. I: Analytic and numerical solutions.” J. Waterway, Port, Coastal, Ocean Eng. 122 (1): 46–53. https://doi.org/10.1061/(ASCE)0733-950X(1996)122:1(46).
Koley, S., R. B. Kaligatla, and T. Sahoo. 2015. “Oblique wave scattering by a vertical flexible porous plate.” Stud. Appl. Math. 135 (1): 1–34. https://doi.org/10.1111/sapm.12076.
Koley, S., R. Mondal, and T. Sahoo. 2018. “Fredholm integral equation technique for hydroelastic analysis of a floating flexible porous plate.” Eur. J. Mech. B. Fluids 67 (Feb–Mar): 291–305. https://doi.org/10.1016/j.euromechflu.2017.10.004.
Lee, W. K., and E. Y. M. Lo. 2002. “Surface-penetrating flexible membrane wave barriers of finite draft.” Ocean Eng. 29 (14): 1781–1804. https://doi.org/10.1016/S0029-8018(02)00007-0.
Levine, H., and E. Rodemich. 1958. Scattering of surface waves on an ideal fluid. Stanford, CA: Stanford Univ.
Li, Y., Y. Liu, and B. Teng. 2006. “Porous effect parameter of thin permeable plates.” Coastal Eng. J. 48 (4): 309–336. https://doi.org/10.1142/S0578563406001441.
Lo, E. Y. M. 1998. “Flexible dual membrane wave barrier.” J. Waterway, Port, Coastal, Ocean Eng. 124 (5): 264–271. https://doi.org/10.1061/(ASCE)0733-950X(1998)124:5(264).
Maiti, P., and B. N. Mandal. 2014. “Water wave scattering by an elastic plate floating in an ocean with a porous bed.” Appl. Ocean Res. 47 (Aug): 73–84. https://doi.org/10.1016/j.apor.2014.03.006.
Mei, C. C., M. A. Stiassnie, and D. K.-P. Yue. 2016. Theory and applications of ocean surface waves, advanced series on ocean engineering. Singapore: World Scientific.
Meylan, M., and V. A. Squire. 1994. “The response of ice floes to ocean waves.” J. Geophys. Res. Ocean. 99 (C1): 891–900. https://doi.org/10.1029/93JC02695.
Meylan, M. H., L. G. Bennetts, and M. A. Peter. 2017. “Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions.” Wave Motion 70 (Apr): 240–250. https://doi.org/10.1016/j.wavemoti.2016.06.014.
Oglivie, J., D. Middlemiss, M. Lee, N. Crossouard, and N. Feates. 2012. “Silt curtains—A review of their role in dredging projects.” In CEDA dredging days 2012. Wallingford, UK: HR Wallingfrord.
Radermacher, M., L. de Wit, J. C. Winterwerp, and W. S. Uijttewaal. 2016. “Efficiency of hanging silt curtains in crossflow.” J. Waterway, Port, Coastal, Ocean Eng. 142 (1): 04015008. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000315.
Roy, R., S. De, and B. N. Mandal. 2019. “Water wave scattering by multiple thin vertical barriers.” Appl. Math. Comput. 355 (Aug): 458–481. https://doi.org/10.1016/j.amc.2019.03.004.
Sahoo, T., T. L. Yip, and A. T. Chwang. 2001. “Scattering of surface waves by a semi-infinite floating elastic plate.” Phys. Fluids 13 (11): 3215–3222. https://doi.org/10.1063/1.1408294.
Sarkar, B., S. Paul, and S. De. 2021a. “Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers.” Zeitschrift für angewandte Mathematik und Physik 72 (2): 1–19. https://doi.org/10.1007/s00033-021-01518-6.
Sarkar, B., S. Paul, and S. De. 2021b. “Water wave propagation over multiple porous barriers with variable porosity in the presence of an ice cover.” Meccanica 56 (7): 1771–1788. https://doi.org/10.1007/s11012-021-01341-3.
Sarkar, B., R. Roy, and S. De. 2020. “Wave attenuation by multiple thin vertical porous walls in water of uniform finite depth.” Ocean Eng. 216 (Nov): 108072. https://doi.org/10.1016/j.oceaneng.2020.108072.
Sharifan, M. H., and M. Jabbari. 2020. “Mechanical buckling analysis of saturated porous functionally graded elliptical plates subjected to in-plane force resting on two parameters elastic foundation based on HSDT.” J. Pressure Vessel Technol. 142 (4): 041302. https://doi.org/10.1115/1.4046707.
Singla, S., S. C. Martha, and T. Sahoo. 2018. “Mitigation of structural responses of a very large floating structure in the presence of vertical porous barrier.” Ocean Eng. 165 (Oct): 505–527. https://doi.org/10.1016/j.oceaneng.2018.07.045.
Teng, B., L. Cheng, S. X. Liu, and F. J. Li. 2001. “Modified eigenfunction expansion methods for interaction of water waves with a semi-infinite elastic plate.” Appl. Ocean Res. 23 (6): 357–368. https://doi.org/10.1016/S0141-1187(02)00005-6.
Ursell, F. 1947. “The effect of a fixed vertical barrier on surface waves in deep water.” Math. Proc. Cambridge Philos. Soc. 43 (3): 374–382. https://doi.org/10.1017/S0305004100023604.
Williams, A. N. 1993. “Dual floating breakwaters.” Ocean Eng. 20 (3): 215–232. https://doi.org/10.1016/0029-8018(93)90021-9.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 8August 2022

History

Received: Nov 27, 2021
Accepted: Apr 4, 2022
Published online: Jun 8, 2022
Published in print: Aug 1, 2022
Discussion open until: Nov 8, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Cheng Bi
Ph.D. Student, Environmental Process Modelling Centre, Nanyang Environment and Water Research Institute (NEWRI), Nanyang Technological Univ., CleanTech One, #05-01, Singapore 637141.
Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., 50 Nanyang Ave., Singapore 639798 (corresponding author). ORCID: https://orcid.org/0000-0002-2593-6361. Email: [email protected]
Associate Professor, School of Mechanical and Aerospace Engineering, Nanyang Technological Univ., 50 Nanyang Ave., Singapore 639798. ORCID: https://orcid.org/0000-0001-7448-0826

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Analytical Solution for Wave Scattering by a Surface Obstacle above a Muddy Seabed, Mathematics, 10.3390/math10162838, 10, 16, (2838), (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share