On dynamics and stability of thin periodic cylindrical shells

The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure along one direction tangent to the shell midsurface. The aim of this paper is to propose a new averaged nonasymptotic model of such shells, which makes it possible to investigate free and forced vibra...

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Main Author: Barbara Tomczyk
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Differential Equations and Nonlinear Mechanics
Online Access:http://dx.doi.org/10.1155/DENM/2006/79853
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author Barbara Tomczyk
author_facet Barbara Tomczyk
author_sort Barbara Tomczyk
collection DOAJ
description The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure along one direction tangent to the shell midsurface. The aim of this paper is to propose a new averaged nonasymptotic model of such shells, which makes it possible to investigate free and forced vibrations, parametric vibrations, and dynamical stability of the shells under consideration. As a tool of modeling we will apply the tolerance averaging technique. The resulting equations have constant coefficients in the periodicity direction. Moreover, in contrast with models obtained by the known asymptotic homogenization technique, the proposed one makes it possible to describe the effect of the period length on the overall shell behavior, called a length-scale effect.
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series Differential Equations and Nonlinear Mechanics
spelling doaj-art-df66ab5e609b4159b53082edec9fa5d52025-02-03T05:51:08ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/7985379853On dynamics and stability of thin periodic cylindrical shellsBarbara Tomczyk0Department of Structural Mechanics, Technical University of Łódź, Al. Politechniki 6, Łódź 90-924, PolandThe object of considerations is a thin linear-elastic cylindrical shell having a periodic structure along one direction tangent to the shell midsurface. The aim of this paper is to propose a new averaged nonasymptotic model of such shells, which makes it possible to investigate free and forced vibrations, parametric vibrations, and dynamical stability of the shells under consideration. As a tool of modeling we will apply the tolerance averaging technique. The resulting equations have constant coefficients in the periodicity direction. Moreover, in contrast with models obtained by the known asymptotic homogenization technique, the proposed one makes it possible to describe the effect of the period length on the overall shell behavior, called a length-scale effect.http://dx.doi.org/10.1155/DENM/2006/79853
spellingShingle Barbara Tomczyk
On dynamics and stability of thin periodic cylindrical shells
Differential Equations and Nonlinear Mechanics
title On dynamics and stability of thin periodic cylindrical shells
title_full On dynamics and stability of thin periodic cylindrical shells
title_fullStr On dynamics and stability of thin periodic cylindrical shells
title_full_unstemmed On dynamics and stability of thin periodic cylindrical shells
title_short On dynamics and stability of thin periodic cylindrical shells
title_sort on dynamics and stability of thin periodic cylindrical shells
url http://dx.doi.org/10.1155/DENM/2006/79853
work_keys_str_mv AT barbaratomczyk ondynamicsandstabilityofthinperiodiccylindricalshells