Title: Comparative dynamic and static studies for cross-ply shells based on a deep thick shell theory

Authors: Ahmed Adel Khdeir

Addresses: Mechanical Engineering Department, King Saud University, P.O. Box 800, Riyadh 11421, Kingdom of Saudi Arabia

Abstract: Exact solutions for free vibration and static deflection of cross-ply laminated cylindrical panels and circular cylindrical shells are obtained using deep first order shell theory. The state space approach has been used to generate the exact solutions for different sets of boundary conditions. Comparison between the results has been made using the deep first order shell theory and the less accurate one, where the 1 + z / R terms have been approximated by unity. The effects of various parameters including shear deformation, shallowness of the shell, orthotropicity ratio, lamination scheme and boundary condition on shell frequencies and centre deflections are studied. The fundamental frequencies of the deep shell theory are compared with 3D theory of elasticity available in the literature.

Keywords: laminated composite shells; deep thick shells; cross-ply shells; free vibration; static deflection; exact solutions; vehicle vibration; automotive structures; laminated cylindrical panels; circular cylindrical shells.

DOI: 10.1504/IJVNV.2011.043192

International Journal of Vehicle Noise and Vibration, 2011 Vol.7 No.4, pp.306 - 327

Published online: 14 Oct 2014 *

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