Author
Y. V. S. S. Sanyasiraju
Bio: Y. V. S. S. Sanyasiraju is an academic researcher from Indian Institute of Technology Madras. The author has contributed to research in topic(s): Boundary value problem & Antisymmetric relation. The author has an hindex of 1, co-authored 2 publication(s) receiving 2 citation(s).
Papers
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TL;DR: In this paper, the free vibration of angle-ply laminated plates under clamped boundary conditions was analyzed using radial basis functions and Spline functions, and parametric studies were made to investigate the effect of aspect ratio, length-to-thickness ratio, number of layers, fiber orientation and material properties with respect to the frequency parameter.
Abstract: Abstract Two type of numerical approach namely, Radial Basis Function and Spline approximation, used to analyse the free vibration of anti-symmetric angle-ply laminated plates under clamped boundary conditions. The equations of motion are derived using YNS theory under first order shear deformation. By assuming the solution in separable form, coupled differential equations obtained in term of mid-plane displacement and rotational functions. The coupled differential is then approximated using Spline function and radial basis function to obtain the generalize eigenvalue problem and parametric studies are made to investigate the effect of aspect ratio, length-to-thickness ratio, number of layers, fibre orientation and material properties with respect to the frequency parameter. Some results are compared with the existing literature and other new results are given in tables and graphs.
2 citations
21 Jun 2016
TL;DR: In this paper, the spline and radial basis functions of base mesh free scheme are applied simultaneously to approximate the displacement and rotational functions of angle-ply composite plates, including shear deformation under clamped-clamped boundary conditions.
Abstract: In this study free vibrations of anti-symmetric angle-ply composite plates including shear deformation under clamped-clamped boundary conditions are presented. Two types of numerical methods are adopted to analyze the problem. The spline and radial basis functions base mesh free scheme are applied simultaneously to approximate the displacement and rotational functions. Comparative studies have been made for analyzing the frequency parameters with respect to the material properties, number of layers, fiber orientations, side-to-thickness ratio and aspect ratio. The results are depicted in terms of tables and graphs.
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TL;DR: In this article, an analytical solution for determining the fundamental frequency of a fully clamped composite anisotropic laminated plate is presented, which is composed of unidirectional composite plies oriented at some angle to one of the plate sides.
Abstract: An analytical solution determining the fundamental frequency of a fully clamped composite anisotropic laminated plate is presented in the paper. The plate is composed of unidirectional composite plies oriented at some angle to one of the plate sides. The plies alternating over the plate thickness differ from each other by only the sign of the angle of orientation. Such a plate is characterised by the structural anisotropy with the extension-twisting and bending-shear coupling effects which are taken into account in the appropriate constitutive equations. The governing equations model the coupled in-plane and out-of-plane plate motions. The vibration problem is solved using the Galerkin method. The beam functions corresponding to the first vibration mode of a beam with clamped ends are employed as the approximating functions. The problem is reduced to a solution of cubic algebraic equation. Based on this solution, effects of the angle of reinforcement orientation and number of plies on the fundamental frequency of the plate with structural anisotropy are investigated. The results are verified using finite element method. An assessment of the anisotropy effect on the frequency value has been performed by comparison with the results obtained based on the orthotropic model of the plate. The formula providing the number of plies for a plate with structural anisotropy is derived for the prescribed fundamental frequency.
1 citations
01 Nov 2019
TL;DR: In this paper, the effects of different parameters on the vibration and harmonic behaviour of cross-ply composite plates with anti-symmetric lamination scheme of layers were discussed and the frequency-amplitude relationships were obtained and presented on frequency response function graph.
Abstract: This work presents vibration and harmonic behaviour of cross-ply composite plates with anti-symmetric lamination scheme of layers. Convergence test and comparison studies for different parameters with respect to number of modes have been carried out using the finite element method. The finite element package ANSYS is used to determine the frequency parameter and resonance amplitude of the plate. The effects of different parameters on the vibration and harmonic behaviour, are discussed. The frequency-amplitude relationships are obtained and presented on frequency response function graph. The clamped, simply supported, free and the combinations of boundary conditions are considered. Effects of damping factor on harmonic response are also investigated.