Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness

Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness

The present formulation of the analysed problem is based on Donell's nonlinear shallow shell theory, which adopts Kirchhoff's hypothesis. Transverse shear deformations and rotary inertia of a shell are neglected. According to this theory, the non-linear strain-displacement relations at the...

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Main Authors: Jan Awrejcewicz, Lidiya Kurpa, Tatiyana Shmatko
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100015&lng=en&tlng=en
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spelling doaj-c647141319d14eaf81e0a40ab76a78ad2020-11-25T01:52:55ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782510114916210.1590/S1679-78252013000100015S1679-78252013000100015Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thicknessJan Awrejcewicz0Lidiya Kurpa1Tatiyana Shmatko2Lodz University of TechnologyKyiv Polytechnic InstituteKyiv Polytechnic InstituteThe present formulation of the analysed problem is based on Donell's nonlinear shallow shell theory, which adopts Kirchhoff's hypothesis. Transverse shear deformations and rotary inertia of a shell are neglected. According to this theory, the non-linear strain-displacement relations at the shell midsurface has been proposed. The validity and reliability of the proposed approach has been illustrated and discussed, and then a few examples of either linear or non-linear dynamics of shells with variable thickness and complex shapes have been presented and discussed.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100015&lng=en&tlng=en
collection DOAJ
language English
format Article
sources DOAJ
author Jan Awrejcewicz
Lidiya Kurpa
Tatiyana Shmatko
spellingShingle Jan Awrejcewicz
Lidiya Kurpa
Tatiyana Shmatko
Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
Latin American Journal of Solids and Structures
author_facet Jan Awrejcewicz
Lidiya Kurpa
Tatiyana Shmatko
author_sort Jan Awrejcewicz
title Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
title_short Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
title_full Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
title_fullStr Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
title_full_unstemmed Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
title_sort large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness
publisher Marcílio Alves
series Latin American Journal of Solids and Structures
issn 1679-7825
description The present formulation of the analysed problem is based on Donell's nonlinear shallow shell theory, which adopts Kirchhoff's hypothesis. Transverse shear deformations and rotary inertia of a shell are neglected. According to this theory, the non-linear strain-displacement relations at the shell midsurface has been proposed. The validity and reliability of the proposed approach has been illustrated and discussed, and then a few examples of either linear or non-linear dynamics of shells with variable thickness and complex shapes have been presented and discussed.
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100015&lng=en&tlng=en
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AT lidiyakurpa largeamplitudefreevibrationoforthotropicshallowshellsofcomplexshapeswithvariablethickness
AT tatiyanashmatko largeamplitudefreevibrationoforthotropicshallowshellsofcomplexshapeswithvariablethickness
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