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:	Hindawi Limited 1996-01-01
Series:	Shock and Vibration
Online Access:	http://dx.doi.org/10.3233/SAV-1996-3303

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spelling	doaj-e2dfc23748114783900740be3332eebb2020-11-24T22:47:12ZengHindawi LimitedShock 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Michelle S. Hoo Fatt Tomasz Wierzbicki Minos Moussouros John Koenig
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
author_facet	Michelle S. Hoo Fatt Tomasz Wierzbicki Minos Moussouros John Koenig
author_sort	Michelle S. Hoo Fatt
title	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_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_sort	rigid-plastic approximations for predicting plastic deformation of cylindrical shells subject to dynamic loading
publisher	Hindawi Limited
series	Shock and Vibration
issn	1070-9622 1875-9203
publishDate	1996-01-01
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.
url	http://dx.doi.org/10.3233/SAV-1996-3303
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Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading

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