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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Bibliographic Details
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
Description
Summary: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.
ISSN:1679-7825