The Experts below are selected from a list of 81 Experts worldwide ranked by ideXlab platform
P Ponnusamy - One of the best experts on this subject based on the ideXlab platform.
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dispersion analysis of generalized thermo elastic Plate of Polygonal cross sections
Applied Mathematical Modelling, 2012Co-Authors: P PonnusamyAbstract:Abstract In this paper, wave propagation in generalized thermo elastic Plate of Polygonal cross-sectional Plate is studied using the Fourier expansion collocation method. The equations of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermo elastic Plate of Polygonal cross-sections composed of homogeneous isotropic material. The frequency equations are obtained by satisfying the boundary conditions along the surface of the Polygonal Plate using Fourier expansion collocation method. The numerical calculations are carried out for triangular, square, pentagonal and hexagonal cross sectional Plates. Dispersion curves are drawn using the computed non-dimensional frequencies for longitudinal and flexural (symmetric and antisymmetric) modes of vibration.
Stephane Bordas - One of the best experts on this subject based on the ideXlab platform.
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a new locking free Polygonal Plate element for thin and thick Plates based on reissner mindlin Plate theory and assumed shear strain fields
Computers & Structures, 2019Co-Authors: Javier Videla, Sundararajan Natarajan, Stephane BordasAbstract:Abstract A new n -noded Polygonal Plate element is proposed for the analysis of Plate structures comprising of thin and thick members. The formulation is based on the discrete Kirchhoff Mindlin theory. On each side of the Polygonal element, discrete shear constraints are considered to relate the kinematical and the independent shear strains. The proposed element: (a) has proper rank; (b) passes patch test for both thin and thick Plates; (c) is free from shear locking and (d) yields optimal convergence rates in L 2 -norm and H 1 -semi-norm. The accuracy and the convergence properties are demonstrated with a few benchmark examples.
Wim Desmet - One of the best experts on this subject based on the ideXlab platform.
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an efficient wave based prediction technique for dynamic Plate bending problems with corner stress singularities
Computer Methods in Applied Mechanics and Engineering, 2009Co-Authors: Caroline Vanmaele, Dirk Vandepitte, Wim DesmetAbstract:The Finite Element Method is commonly used for simulations of dynamic Plate bending problems. A major disadvantage of this method is its practical frequency limitation in that the computational loads become prohibitively large at higher frequencies. A newly developed Wave Based prediction technique aims to relax this frequency limitation through an enhanced computational efficiency. This paper discusses the application of the Wave Based Method for the particular case where stress singularities appear in one or more corners of a Polygonal Plate domain. In this case the conventional set of field variable expansion functions is extended with some special-purpose functions which incorporate the corner point singularities. The beneficial convergence rate of the Wave Based Method as compared with the Finite Element Method is verified for various validation examples.
Javier Videla - One of the best experts on this subject based on the ideXlab platform.
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a new locking free Polygonal Plate element for thin and thick Plates based on reissner mindlin Plate theory and assumed shear strain fields
Computers & Structures, 2019Co-Authors: Javier Videla, Sundararajan Natarajan, Stephane BordasAbstract:Abstract A new n -noded Polygonal Plate element is proposed for the analysis of Plate structures comprising of thin and thick members. The formulation is based on the discrete Kirchhoff Mindlin theory. On each side of the Polygonal element, discrete shear constraints are considered to relate the kinematical and the independent shear strains. The proposed element: (a) has proper rank; (b) passes patch test for both thin and thick Plates; (c) is free from shear locking and (d) yields optimal convergence rates in L 2 -norm and H 1 -semi-norm. The accuracy and the convergence properties are demonstrated with a few benchmark examples.
R Selvamani - One of the best experts on this subject based on the ideXlab platform.
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clamped free non homogeneous magneto electro elastic Plate of Polygonal cross sections with hydrostatic stress and gravity
Journal of Solid Mechanics, 2020Co-Authors: Infant G Sujitha, R SelvamaniAbstract:In this article, the influence of hydrostatic stress and gravity on a clamped- free non homogeneous magneto electro elastic Plate of Polygonal cross sections is studied using linear theory of elasticity. The equations of motion based on two-dimensional theory of elasticity are applied under the plane strain assumption of prestressed and gravitated magneto electro elastic Plate of Polygonal cross-sections composed of non homogeneous isotropic material. The frequency equations are obtained by satisfying the boundary conditions along the irregular surface of the Polygonal Plate using Fourier expansion collocation method. The complex roots of the frequency equations are obtained by secant method. The numerical computations are carried out for triangular, square, pentagon and hexagon cross sectional Plates. Graphical representation is given for the various physical variables via gravity and different edge boundaries and its characteristics are discussed. This result can be applied for optimum design of concrete Plates with Polygonal cross sections.
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stress waves in a generalized thermo elastic Polygonal Plate of inner and outer cross sections
Journal of Solid Mechanics, 2017Co-Authors: R SelvamaniAbstract:The stress wave propagation in a generalized thermoelastic Polygonal Plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic Plate of Polygonal shape, composed of homogeneous isotropic material. The frequency equations are obtained by satisfying the irregular boundary conditions along the inner and outer surface of the Polygonal Plate. The computed non-dimensional wave number and wave velocity of triangular, square, pentagonal and hexagonal Plates are given by dispersion curves for longitudinal and flexural antisymmetric modes of vibrations. The roots of the frequency equation are obtained by using the secant method, applicable for complex roots.