The Experts below are selected from a list of 270 Experts worldwide ranked by ideXlab platform

Allen T. Chwang - One of the best experts on this subject based on the ideXlab platform.

  • Scattering of surface waves by a semi-infinite floating elastic Plate
    Physics of Fluids, 2001
    Co-Authors: Trilochan Sahoo, Allen T. Chwang
    Abstract:

    A new inner product is developed based on the Fourier analysis to study the scattering of surface waves by a floating semi-infinite elastic Plate in a two-dimensional water domain of finite depth. The eigenfunctions for the Plate-covered region are orthogonal with respect to this new inner product. The problem is studied for various wave and geometrical conditions. Especially, the influence of different edge conditions on the hydrodynamic behavior is investigated and compared. The edge conditions considered in the present study involve (i) a free edge, (ii) a simply supported edge, and (iii) a built-in edge. The hydrodynamic performance of an elastic Plate is characterized for various conditions in terms of wave reflection and transmission, Plate Deflection, and surface strain. It is observed that the hydrodynamic behavior depends on the wave conditions, the geometrical settings, and the edge conditions. The built-in edge condition induces the maximum wave reflection and the minimum wave transmission. The free edge condition leads to the maximum Plate Deflection.

  • scattering of surface waves by a semi infinite floating elastic Plate
    Physics of Fluids, 2001
    Co-Authors: T Sahoo, Allen T. Chwang
    Abstract:

    A new inner product is developed based on the Fourier analysis to study the scattering of surface waves by a floating semi-infinite elastic Plate in a two-dimensional water domain of finite depth. The eigenfunctions for the Plate-covered region are orthogonal with respect to this new inner product. The problem is studied for various wave and geometrical conditions. Especially, the influence of different edge conditions on the hydrodynamic behavior is investigated and compared. The edge conditions considered in the present study involve (i) a free edge, (ii) a simply supported edge, and (iii) a built-in edge. The hydrodynamic performance of an elastic Plate is characterized for various conditions in terms of wave reflection and transmission, Plate Deflection, and surface strain. It is observed that the hydrodynamic behavior depends on the wave conditions, the geometrical settings, and the edge conditions. The built-in edge condition induces the maximum wave reflection and the minimum wave transmission. The...

T Sahoo - One of the best experts on this subject based on the ideXlab platform.

  • scattering of surface waves by a semi infinite floating elastic Plate
    Physics of Fluids, 2001
    Co-Authors: T Sahoo, Allen T. Chwang
    Abstract:

    A new inner product is developed based on the Fourier analysis to study the scattering of surface waves by a floating semi-infinite elastic Plate in a two-dimensional water domain of finite depth. The eigenfunctions for the Plate-covered region are orthogonal with respect to this new inner product. The problem is studied for various wave and geometrical conditions. Especially, the influence of different edge conditions on the hydrodynamic behavior is investigated and compared. The edge conditions considered in the present study involve (i) a free edge, (ii) a simply supported edge, and (iii) a built-in edge. The hydrodynamic performance of an elastic Plate is characterized for various conditions in terms of wave reflection and transmission, Plate Deflection, and surface strain. It is observed that the hydrodynamic behavior depends on the wave conditions, the geometrical settings, and the edge conditions. The built-in edge condition induces the maximum wave reflection and the minimum wave transmission. The...

A. P. Shashikala - One of the best experts on this subject based on the ideXlab platform.

  • Effect of undulating bottom on wave interaction with a floating flexible Plate coupled with a flexible porous barrier
    Meccanica, 2020
    Co-Authors: Sourav Mandal, B. Santosh Kumar, A. P. Shashikala
    Abstract:

    In the present study, under the assumption of small amplitude water wave theory and structural response, effect of bed undulation on the wave interaction with a combination of flexible porous barrier and a flexible floating Plate, is studied. The flexible porous barrier is modelled using the porous wave maker-theory while the elastic floating Plate is modelled using thin Plate theory. The physical problem is handled for solution using eigenfunction expansion method by matching pressure and velocity at interface boundaries while finite difference method is used to deal with modified mild-slope equation. In the present study, two types of Plate configurations are namely (a) finite Plate and (b) semi-infinite Plate. To understand the role of undulating seabed, wave and structural parameters, in attenuating wave force and Plate Deflection, numerical results are computed and compared with available literature. It is found that full wave reflection occurs for certain critical angle and wave force acting on the barrier vanishes for the same critical angle for the semi-infinite Plate case while the wave reflection tends to attain maximum value at critical angle for the finite case and these maximum value increases with the increase of Plate length. It is observed that less wave reflection occurs for sloping bed profile compare to rest of the bed profile. The study reveals that positioning a barrier between Plate and undulated region, helps in the reduction of Plate Deflection significantly. As special case, wave interaction problem with a finite floating elastic Plate is studied experimentally and the experimental result has shown good agreement with the numerical result. The findings of the present study are likely to be of immense help in the design of various types of marine structures for protecting very large floating structures (VLFS). The present theory can be extended to handle large class of acoustic wave interaction problems with flexible porous structures.

Aad J Hermans - One of the best experts on this subject based on the ideXlab platform.

  • Hydroelasticity of a circular Plate on water of finite or infinite depth
    Journal of Fluids and Structures, 2005
    Co-Authors: A. I. Andrianov, Aad J Hermans
    Abstract:

    This paper considers the diffraction of incident surface waves by a floating elastic circular Plate. We investigate the hydroelastic response of the Plate to a plane incident wave for two cases of water depth. An analytic and numerical study is presented. An integro-differential equation is derived for the problem and an algorithm of its numerical solution is proposed. The representation of the solution as series of Bessel functions is the key idea of the approach. After a brief introduction and formulation of the problem, we derive the main integro-differential equation by the use of the thin Plate theory and Green's theorem. The Plate Deflection, the free-surface elevation and the Green's function are expressed in cylindrical coordinates as series of Bessel functions. For the coefficients, a set of algebraic equations is obtained, yielding the approximate solution for the case of infinite water depth. Then a solution is obtained for the general case of finite water depth analogously. The exact solution is approximated by taking a finite number of roots of the dispersion relation into account. Numerical results for the Plate Deflection, initiated wave pattern and free-surface elevation are presented for various physical parameters of the problem, together with some remarks on the computation and discussion.

  • Hydroelasticity of a circular Plate on water of finite or infinite depth
    Journal of Fluids and Structures, 2005
    Co-Authors: A. I. Andrianov, Aad J Hermans
    Abstract:

    This paper considers the diffraction of incident surface waves by a floating elastic circular Plate. We investigate the hydroelastic response of the Plate to a plane incident wave for two cases of water depth. An analytic and numerical study is presented. An integro-differential equation is derived for the problem and an algorithm of its numerical solution is proposed. The representation of the solution as series of Bessel functions is the key idea of the approach. After a brief introduction and formulation of the problem, we derive the main integro-differential equation by the use of the thin Plate theory and Green's theorem. The Plate Deflection, the free-surface elevation and the Green's function are expressed in cylindrical coordinates as series of Bessel functions. For the coefficients, a set of algebraic equations is obtained, yielding the approximate solution for the case of infinite water depth. Then a solution is obtained for the general case of finite water depth analogously. The exact solution is approximated by taking a finite number of roots of the dispersion relation into account. Numerical results for the Plate Deflection, initiated wave pattern and free-surface elevation are presented for various physical parameters of the problem, together with some remarks on the computation and discussion. © 2005 Elsevier Ltd. All rights reserved.

Trilochan Sahoo - One of the best experts on this subject based on the ideXlab platform.

  • An integro-differential equation approach to study the scattering of water waves by a floating flexible porous Plate
    Geophysical and Astrophysical Fluid Dynamics, 2018
    Co-Authors: S. Koley, Trilochan Sahoo
    Abstract:

    In the present manuscript, the hydroelastic response of a flexible porous Plate, floating in water of finite as well as infinite depths, is studied under the assumption of a linearized wave–structure interaction theory. Using Green's integral theorem, the associated boundary value problems are converted into integro-differential equations in terms of the Plate Deflection. To solve the derived integro-differential equations, the Plate Deflection is approximated as a superposition of the horizontal eigenfunctions in the Plate-covered region. As a result, approximate explicit expressions are obtained for the physical quantities of interests such as reflection and transmission coefficients. The accuracy of the present numerical computations are analysed by comparing the results with the standard results available in the literature. It may be noted that the aforementioned physical problem is similar in nature with that of Koley et al. but the solution technique is completely different. As various resul...

  • Flexural gravity wave motion over poroelastic bed
    Wave Motion, 2016
    Co-Authors: H. Behera, Trilochan Sahoo
    Abstract:

    Abstract Using Biot’s consolidation theory, effect of poroelastic bed on flexural gravity wave motion is analyzed in both the cases of single-layer and two-layer fluids. The model for the flexural gravity waves is developed using linear water wave theory and small amplitude structural response in finite water depth. The effects of permeability and shear modulus of poroelastic bed and time period on flexural gravity wave motion are studied by analyzing the dispersion relation, phase speed, Plate Deflection, interface elevation and pressure distribution along water depth. Various results for surface gravity waves are analyzed as special cases. The study reveals that bed permeability retards the hydrodynamic pressure distribution along the water depth significantly compared to shear modulus whilst, floating Plate Deflection decreases significantly with change in shear modulus compared to permeability of the poroelastic bed. The present study can be generalized to analyze various wave–structure interaction problems over poroelastic bed.

  • Scattering of surface waves by a semi-infinite floating elastic Plate
    Physics of Fluids, 2001
    Co-Authors: Trilochan Sahoo, Allen T. Chwang
    Abstract:

    A new inner product is developed based on the Fourier analysis to study the scattering of surface waves by a floating semi-infinite elastic Plate in a two-dimensional water domain of finite depth. The eigenfunctions for the Plate-covered region are orthogonal with respect to this new inner product. The problem is studied for various wave and geometrical conditions. Especially, the influence of different edge conditions on the hydrodynamic behavior is investigated and compared. The edge conditions considered in the present study involve (i) a free edge, (ii) a simply supported edge, and (iii) a built-in edge. The hydrodynamic performance of an elastic Plate is characterized for various conditions in terms of wave reflection and transmission, Plate Deflection, and surface strain. It is observed that the hydrodynamic behavior depends on the wave conditions, the geometrical settings, and the edge conditions. The built-in edge condition induces the maximum wave reflection and the minimum wave transmission. The free edge condition leads to the maximum Plate Deflection.