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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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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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. |
format | Article |
id | doaj-art-28ac410ea5fc46f3a37d063e9b5dc448 |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2006-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
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 |