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Archive of Applied Mechanics

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20-11-2015 | Original

The effect of thickness coordinate to radius ratio on free vibration of moderately thick and deep doubly curved cross-ply laminated shell

Authors: Sandipan Nath Thakur, Chaitali Ray

Published in: Archive of Applied Mechanics | Issue 6/2016

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Abstract

This paper presents the free vibration analysis of moderately thick and deep doubly curved laminated shell with \(C^{0}\) finite element model based on higher-order shear deformation theory. The strain–displacement relationships are developed using the accurate equations of elastic deformation of shell structure. An eight-noded isoparametric shell element with nine degrees of freedom per node is used to formulate the present model. The effect of incorporating the ratio of thickness coordinate to radius of curvature (z / R) in the strain components has been taken into account in the present study. The numerical results in terms of natural frequencies obtained by the present formulations are compared with those available in the published literature to validate the proposed model.

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Title: The effect of thickness coordinate to radius ratio on free vibration of moderately thick and deep doubly curved cross-ply laminated shell
Authors: Sandipan Nath Thakur
Chaitali Ray
Publication date: 20-11-2015
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 6/2016
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-015-1082-8

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