Shock and Vibration

Shock and Vibration / 2006 / Article

Open Access

Volume 13 |Article ID 645949 | https://doi.org/10.1155/2006/645949

Amit Karmakar, Kikuo Kishimoto, "Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact", Shock and Vibration, vol. 13, Article ID 645949, 10 pages, 2006. https://doi.org/10.1155/2006/645949

Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact

Received20 Jan 2005
Revised18 Nov 2005

Abstract

In this paper a transient dynamic finite element analysis is presented to study the response of delaminated composite pretwisted rotating shallow shells subjected to low velocity normal impact. Lagrange's equation of motion is used to derive the dynamic equilibrium equation and moderate rotational speeds are considered wherein the Coriolis effect is negligible. An eight noded isoparametric plate bending element is employed in the finite element formulation incorporating rotary inertia and effects of transverse shear deformation based on Mindlin's theory. To satisfy the compatibility of deformation and equilibrium of resultant forces and moments at the delamination crack front a multipoint constraint algorithm is incorporated which leads to unsymmetric stiffness matrices. The modified Hertzian contact law which accounts for permanent indentation is utilized to compute the contact force, and the time dependent equations are solved by Newmark's time integration algorithm. Parametric studies are performed in respect of location of delamination, angle of twist and rotational speed for centrally impacted graphite-epoxy composite cylindrical shells.

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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