Analysis of parametrically excited laminated shells
type: Item
instance of: scholarly article
title: Analysis of parametrically excited laminated shells
zbMATH Open document ID: 0765.73035
DOI: 10.1016/0020-7403(92)90074-Q
published in: International Journal of Mechanical Sciences
publication date: 1993-04-01T00:00:00Z
review text: The dynamic stability of a shear-deformable circular cylindrical shell subjected to a periodic axial loading \(P(t)=P_ s+P_ d \cos\omega t\) is investigated. The simply-supported laminated shell of finite length is analyzed within Love's first-approximation theory, with the addition of transverse shear deformation and rotary inertia. Using the method of multiple scales, analytical expressions for the instability regions are obtained at \(\omega=\Omega_ j\pm\Omega_ i\), where \(\Omega_ i\) are the natural frequencies of the shell.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 148426
zbMATH Keywords: shear-deformable circular cylindrical shell
zbMATH Keywords: periodic axial loading
zbMATH Keywords: Love's first-approximation theory
zbMATH Keywords: transverse shear deformation
zbMATH Keywords: rotary inertia
zbMATH Keywords: method of multiple scales
zbMATH Keywords: instability regions
author: Gabriel Cederbaum
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 148426