<p>The construction of breakwaters can be effectively modelled by using thin porous plates. Therefore, an investigation has been performed concerning the interaction of oblique wave with a floating bridge in the existence of a thin floating horizontal porous plate over an arbitrary bottom. In the present study, Darcy’s law simulates the flow via porous structures and Havelock’s expansions are used to define the potentials in each region for the mathematical formulation of the physical model. The benefits of the existence of a thin barrier and bottom topography are examined by using several numerical results for wave load acting on the bridge. Significant differences in vertical and horizontal forces can be seen between the cases with and without the thin horizontal porous plate and bottom topography. The maximum energy loss corresponds to the minimum in the loads (vertical or horizontal) on the floating bridge. For <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12572_2024_380_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="107" /> </InlineMediaObject> <EquationSource Format="TEX">$55^\circ \le \theta _1 < 90^\circ$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mn>55</mn> <mo>∘</mo> </msup> <mo>≤</mo> <msub> <mi>θ</mi> <mn>1</mn> </msub> <mo><</mo> <msup> <mn>90</mn> <mo>∘</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> with fixed values of other parameters, both <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12572_2024_380_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">$F_v$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>F</mi> <mi>v</mi> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12572_2024_380_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">$F_h$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>F</mi> <mi>h</mi> </msub> </math></EquationSource> </InlineEquation> decrease monotonically for all length and wave frequency values. It is important to highlight from the present findings that the installation of an asymmetric trench and a horizontal porous plate decreases the load on the floating bridge. This may help marine and coastal engineers to design an effective breakwater involving a trench-type bottom and horizontal porous plate.</p>

Mitigation of incident wave load on a floating bridge in the existence of horizontal thin porous plate

期刊论文
发表日期：

2025年2月6日

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Sunita Choudhary,
S. C. Martha

摘要

The construction of breakwaters can be effectively modelled by using thin porous plates. Therefore, an investigation has been performed concerning the interaction of oblique wave with a floating bridge in the existence of a thin floating horizontal porous plate over an arbitrary bottom. In the present study, Darcy’s law simulates the flow via porous structures and Havelock’s expansions are used to define the potentials in each region for the mathematical formulation of the physical model. The benefits of the existence of a thin barrier and bottom topography are examined by using several numerical results for wave load acting on the bridge. Significant differences in vertical and horizontal forces can be seen between the cases with and without the thin horizontal porous plate and bottom topography. The maximum energy loss corresponds to the minimum in the loads (vertical or horizontal) on the floating bridge. For $55^\circ \le \theta _1 < 90^\circ$ $55^{\circ} \leq θ_{1} < 90^{\circ}$ with fixed values of other parameters, both $F_v$ $F_{v}$ and $F_h$ $F_{h}$ decrease monotonically for all length and wave frequency values. It is important to highlight from the present findings that the installation of an asymmetric trench and a horizontal porous plate decreases the load on the floating bridge. This may help marine and coastal engineers to design an effective breakwater involving a trench-type bottom and horizontal porous plate.