Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
type: Item
instance of: scholarly article
title: Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
zbMATH Open document ID: 0958.74021
DOI: 10.1016/S0045-7825(98)00197-2
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-04-19T00:00:00Z
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 37N15
zbMATH DE Number: 1399938
zbMATH Keywords: post-buckling response
zbMATH Keywords: homoclinic connections
zbMATH Keywords: heteroclinic connections
zbMATH Keywords: long thin axially-compressed cylindrical shell
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: numerical continuation analysis
zbMATH Keywords: spectral decomposition
author: G. W. Hunt
author: Gabriel J. Lord
author: Alan R. Champneys
MaRDI profile type: Publication
cites work: Q4121475
cites work: Structural localization phenomena and the dynamical phase-space analogy
cites work: Q4376465
cites work: Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
cites work: Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
cites work: Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems
cites work: Singularities and groups in bifurcation theory. Volume I
cites work: Comparative lagrangian formulations for localized buckling
cites work: Localized buckling in long axially-loaded cylindrical shells
cites work: Q4181693
cites work: Q3334229
cites work: Computation of localized post buckling in long axially compressed cylindrical shells
cites work: Reversible Diffeomorphisms and Flows
cites work: The Hamiltonian Hopf bifurcation
cites work: Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
cites work: Instability of localized buckling modes in a one-dimensional strut model
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Successive homoclinic tangencies to a limit cycle
cites work: Q5798586
cites work: The Numerical Computation of Connecting Orbits in Dynamical Systems
cites work: Q3720353
cites work: On the solution of mode jumping phenomena in thin-walled shell structures
full work available at URL: s0045-7825(98)00197-2
OpenAlex ID: W2148507681
Recommended article: Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. (Reprint).
Recommended article: Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling
Recommended article: Q4499699
Recommended article: Bifurcation of Equilibrium in Thick Orthotropic Cylindrical Shells Under Axial Compression
Recommended article: Looping post-buckling paths of an axially loaded elastic cylindrical shell
Recommended article: Bifurcation theory applied to buckling states of a cylindrical shell
Recommended article: Fully localized post-buckling states of cylindrical shells under axial compression
Recommended article: Nonlinear dynamic buckling of symmetrically laminated cylindrically orthotropic shallow spherical shells
Recommended article: On the axisymmetric buckling behaviour of incompressible nonlinearly elastic spherical shells
Recommended article: Nonlinear dynamic buckling of orthotropic cylindrical shells subjected to rapidly applied loads
description: scientific article; zbMATH DE number 1399938