Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading

A theoretical approach was developed for predicting the plastic deformation of a cylindrical shell subject to asymmetric dynamic loads. The plastic deformation of the leading generator of the shell is found by solving for the transverse deflections of a rigid-plastic beam/string-on-foundation. The a...

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Main Authors: Michelle S. Hoo Fatt, Tomasz Wierzbicki, Minos Moussouros, John Koenig
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1996-3303
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author Michelle S. Hoo Fatt
Tomasz Wierzbicki
Minos Moussouros
John Koenig
author_facet Michelle S. Hoo Fatt
Tomasz Wierzbicki
Minos Moussouros
John Koenig
author_sort Michelle S. Hoo Fatt
collection DOAJ
description A theoretical approach was developed for predicting the plastic deformation of a cylindrical shell subject to asymmetric dynamic loads. The plastic deformation of the leading generator of the shell is found by solving for the transverse deflections of a rigid-plastic beam/string-on-foundation. The axial bending moment and tensile force in the beam/string are equivalent to the longitudinal bending moments and membrane forces of the shell, while the plastic foundation force is equivalent to the shell circumferential bending moment and membrane resistances. Closed-form solutions for the transient and final deformation profile of an impulsive loaded shell when it is in a “string” state were derived using the eigenfunction expansion method. These results were compared to DYNA 3D predictions. The analytical predictions of the transient shell and final centerline deflections were within 25% of the DYNA 3D results.
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issn 1070-9622
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publishDate 1996-01-01
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series Shock and Vibration
spelling doaj-art-e2dfc23748114783900740be3332eebb2025-02-03T00:59:29ZengWileyShock and Vibration1070-96221875-92031996-01-013316918110.3233/SAV-1996-3303Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic LoadingMichelle S. Hoo Fatt0Tomasz Wierzbicki1Minos Moussouros2John Koenig3Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USADepartment of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USANaval Surface Warefare Center, Indian Head Division, Silver Spring, MD, USANaval Surface Warefare Center, Indian Head Division, Silver Spring, MD, USAA theoretical approach was developed for predicting the plastic deformation of a cylindrical shell subject to asymmetric dynamic loads. The plastic deformation of the leading generator of the shell is found by solving for the transverse deflections of a rigid-plastic beam/string-on-foundation. The axial bending moment and tensile force in the beam/string are equivalent to the longitudinal bending moments and membrane forces of the shell, while the plastic foundation force is equivalent to the shell circumferential bending moment and membrane resistances. Closed-form solutions for the transient and final deformation profile of an impulsive loaded shell when it is in a “string” state were derived using the eigenfunction expansion method. These results were compared to DYNA 3D predictions. The analytical predictions of the transient shell and final centerline deflections were within 25% of the DYNA 3D results.http://dx.doi.org/10.3233/SAV-1996-3303
spellingShingle Michelle S. Hoo Fatt
Tomasz Wierzbicki
Minos Moussouros
John Koenig
Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
Shock and Vibration
title Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
title_full Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
title_fullStr Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
title_full_unstemmed Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
title_short Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
title_sort rigid plastic approximations for predicting plastic deformation of cylindrical shells subject to dynamic loading
url http://dx.doi.org/10.3233/SAV-1996-3303
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AT minosmoussouros rigidplasticapproximationsforpredictingplasticdeformationofcylindricalshellssubjecttodynamicloading
AT johnkoenig rigidplasticapproximationsforpredictingplasticdeformationofcylindricalshellssubjecttodynamicloading