Nonlinear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells
type: Item
instance of: scholarly article
title: Nonlinear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells
zbMATH Open document ID: 0629.73036
DOI: 10.1016/0020-7683(88)90029-7
author: B. George
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: Based on von Kármán-Donnell kinematic assumptions for laminated shells, the nonlinear vibration and postbuckling behaviour of unsymmetrically laminated cross-ply circular cylindrical shells with clamped and simply-supported ends are studied by a multi-mode approach. A solution is formulated which satisfies the associated compatibility equation and all boundary conditions. The transverse equation of motion is fulfilled by the Galerkin procedure. In the case of nonlinear vibration problems, the solution is obtained by the method of harmonic balance. The effect of initial imperfection is also included. Results in nonlinear vibration and postbuckling are presented for different amplitudes of initial imperfection and four sets of boundary conditions. Present results are compared with available data.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 4024895
zbMATH Keywords: set of nonlinear ordinary differential equations
zbMATH Keywords: von Kármán-Donnell kinematic assumptions
zbMATH Keywords: postbuckling behaviour
zbMATH Keywords: unsymmetrically laminated cross-ply circular cylindrical shells
zbMATH Keywords: clamped
zbMATH Keywords: simply-supported ends
zbMATH Keywords: multi-mode approach
zbMATH Keywords: compatibility equation
zbMATH Keywords: boundary conditions
zbMATH Keywords: transverse equation of motion
zbMATH Keywords: Galerkin procedure
zbMATH Keywords: method of harmonic balance
zbMATH Keywords: initial imperfection
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90029-7
OpenAlex ID: W1995577638
description: scientific article; zbMATH DE number 4024895