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

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 rotatio...

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Main Authors: Amit Karmakar, Kikuo Kishimoto
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2006/645949
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author Amit Karmakar
Kikuo Kishimoto
author_facet Amit Karmakar
Kikuo Kishimoto
author_sort Amit Karmakar
collection DOAJ
description 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.
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spelling doaj-art-28ac410ea5fc46f3a37d063e9b5dc4482025-02-03T05:59:33ZengWileyShock and Vibration1070-96221875-92032006-01-0113661962810.1155/2006/645949Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to ImpactAmit Karmakar0Kikuo Kishimoto1Mechanical Engineering Department, Jadavpur University, Kolkata 700032, IndiaDepartment of Mechanical and Control Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, JapanIn 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.http://dx.doi.org/10.1155/2006/645949
spellingShingle Amit Karmakar
Kikuo Kishimoto
Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
Shock and Vibration
title Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
title_full Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
title_fullStr Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
title_full_unstemmed Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
title_short Transient Dynamic Response of Delaminated Composite Rotating Shallow Shells Subjected to Impact
title_sort transient dynamic response of delaminated composite rotating shallow shells subjected to impact
url http://dx.doi.org/10.1155/2006/645949
work_keys_str_mv AT amitkarmakar transientdynamicresponseofdelaminatedcompositerotatingshallowshellssubjectedtoimpact
AT kikuokishimoto transientdynamicresponseofdelaminatedcompositerotatingshallowshellssubjectedtoimpact