The Experts below are selected from a list of 198 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: 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...

  • 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.

Trilochan 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: 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: 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...

  • 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.

Tarunjit S. Butalia - One of the best experts on this subject based on the ideXlab platform.

  • Natural frequencies of shear deformable rhombic plates with clamped and Simply Supported Edges
    International Journal of Mechanical Sciences, 1994
    Co-Authors: O.g. Mcgee, W.d. Graves, Tarunjit S. Butalia
    Abstract:

    Abstract The natural vibrations of thick and thin rhombic plates with clamped and Simply Supported Edges are analyzed, using assemblages of nine-node Lagrangian isoparametric quadrilateral C0 continuous finite elements based on a higher-order shear deformable thick plate theory. Here, additional nodal displacement degrees of freedom are derived by retaining higher-order powers of the thickness coordinate in the in-plane displacement fields, which in turn allows for the proper representation of the transverse shear strains of thick plates. Essential rotary inertia terms are derived and included in the present analysis. Nondimensional frequencies are calculated for thick and thin rhombic plates having various combinations of clamped and Simply Supported Edge conditions, and skew angles. The efficacy of using higher-order shear deformable plate finite elements for predicting the in-plane vibration modes of rhombic plates is found to increase as the span-to-thickness ratio decreases and the skew angle increases. The present work shows that higher-order shear deformable finite elements essentially eliminate the transverse shear over-correction of thick rhombic plate frequencies that is produced when finite elements based on the widely used first-order Reissner-Mindlin plate theory are utilized.

O.g. Mcgee - One of the best experts on this subject based on the ideXlab platform.

  • CORNER STRESS SINGULARITY EFFECTS ON THE VIBRATION OF RHOMBIC PLATES WITH COMBINATIONS OF CLAMPED AND Simply Supported EdgeS
    Journal of Sound and Vibration, 1996
    Co-Authors: O.g. Mcgee, J. W. Kim, Y.s. Kim
    Abstract:

    Abstract An accurate method is presented for flexural vibrations of rhombic plates having all combinations of clamped and Simply Supported Edge conditions. A specific feature here is that the analysis explicitly considers the bending stress singularities that occur in the two opposite,clamped–hingedand/orhinged–hinged, corners having obtuse angles in rhombic plates. The strength of these singularities increases significantly as the obtuse angles at the clamped–hinged and/or hinged–hinged corners increases. Stationary condition of single-field, classical thin-plate Lagrangian functional are derived using the Ritz method. Assumed transverse displacements are constructed from a hybrid set of (i) admissible and mathematically complete algebraic polynomials, and (ii) comparison functions (termed here “corner functions”) which account for both the kinematic boundary condition and the bending stress singularities at the obtuse clamped–hinged and/or hinged–hinged corners. Extensive convergence studies demonstrate that the corner functions accelerate the convergence of solutions, and that these function are required if accurate solutions are to be obtained for highly skewed plates. Accurate non-dimensional frequencies and normalized contours of the vibratory transverse displacement are presented for rhombic plates having a large enough skew angle of 75 ° (i.e., obtuse corner angles of 165 °), so that the significant influence of the corner stress singularities may be clearly understood. Accurate solutions for isosceles triangular plates with various combinations of clamped-hinged Edges are also available from the frequency and mode shape data presented. The upper bound frequency solutions derived from the presented. The upper bound frequency solutions derived from the present analysis are shown to improve upon the existing upper bound results in the published literature.

  • Natural frequencies of shear deformable rhombic plates with clamped and Simply Supported Edges
    International Journal of Mechanical Sciences, 1994
    Co-Authors: O.g. Mcgee, W.d. Graves, Tarunjit S. Butalia
    Abstract:

    Abstract The natural vibrations of thick and thin rhombic plates with clamped and Simply Supported Edges are analyzed, using assemblages of nine-node Lagrangian isoparametric quadrilateral C0 continuous finite elements based on a higher-order shear deformable thick plate theory. Here, additional nodal displacement degrees of freedom are derived by retaining higher-order powers of the thickness coordinate in the in-plane displacement fields, which in turn allows for the proper representation of the transverse shear strains of thick plates. Essential rotary inertia terms are derived and included in the present analysis. Nondimensional frequencies are calculated for thick and thin rhombic plates having various combinations of clamped and Simply Supported Edge conditions, and skew angles. The efficacy of using higher-order shear deformable plate finite elements for predicting the in-plane vibration modes of rhombic plates is found to increase as the span-to-thickness ratio decreases and the skew angle increases. The present work shows that higher-order shear deformable finite elements essentially eliminate the transverse shear over-correction of thick rhombic plate frequencies that is produced when finite elements based on the widely used first-order Reissner-Mindlin plate theory are utilized.

W.d. Graves - One of the best experts on this subject based on the ideXlab platform.

  • Natural frequencies of shear deformable rhombic plates with clamped and Simply Supported Edges
    International Journal of Mechanical Sciences, 1994
    Co-Authors: O.g. Mcgee, W.d. Graves, Tarunjit S. Butalia
    Abstract:

    Abstract The natural vibrations of thick and thin rhombic plates with clamped and Simply Supported Edges are analyzed, using assemblages of nine-node Lagrangian isoparametric quadrilateral C0 continuous finite elements based on a higher-order shear deformable thick plate theory. Here, additional nodal displacement degrees of freedom are derived by retaining higher-order powers of the thickness coordinate in the in-plane displacement fields, which in turn allows for the proper representation of the transverse shear strains of thick plates. Essential rotary inertia terms are derived and included in the present analysis. Nondimensional frequencies are calculated for thick and thin rhombic plates having various combinations of clamped and Simply Supported Edge conditions, and skew angles. The efficacy of using higher-order shear deformable plate finite elements for predicting the in-plane vibration modes of rhombic plates is found to increase as the span-to-thickness ratio decreases and the skew angle increases. The present work shows that higher-order shear deformable finite elements essentially eliminate the transverse shear over-correction of thick rhombic plate frequencies that is produced when finite elements based on the widely used first-order Reissner-Mindlin plate theory are utilized.