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Multi-transform based spectral element to include first order shear deformation in plates

Murthy, MVVS and Renji, K and Gopalakrishnan, S (2015) Multi-transform based spectral element to include first order shear deformation in plates. In: INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 96-97 . pp. 110-120.

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Official URL: http://dx.doi.org/ 10.1016/j.ijmecsci.2015.03.020

Abstract

For obtaining dynamic response of structure to high frequency shock excitation spectral elements have several advantages over conventional methods. At higher frequencies transverse shear and rotary inertia have a predominant role. These are represented by the First order Shear Deformation Theory (FSDT). But not much work is reported on spectral elements with FSDT. This work presents a new spectral element based on the FSDT/Mindlin Plate Theory which is essential for wave propagation analysis of sandwich plates. Multi-transformation method is used to solve the coupled partial differential equations, i.e., Laplace transforms for temporal approximation and wavelet transforms for spatial approximation. The formulation takes into account the axial-flexure and shear coupling. The ability of the element to represent different modes of wave motion is demonstrated. Impact on the derived wave motion characteristics in the absence of the developed spectral element is discussed. The transient response using the formulated element is validated by the results obtained using Finite Element Method (FEM) which needs significant computational effort. Experimental results are provided which confirms the need to having the developed spectral element for the high frequency response of structures. (C) 2015 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Keywords: Spectral element; Wave propagation; Sandwich plate; First order Shear Deformation Theory; Laplace transform; Wavelet transform
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 19 Jul 2015 06:11
Last Modified: 19 Jul 2015 06:11
URI: http://eprints.iisc.ernet.in/id/eprint/51816

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