Arnold tongue predictions of secondary buckling in thin elastic plates

DOI10.1016/S0022-5096(99)00008-3zbMath0969.74022OpenAlexW1990654966MaRDI QIDQ1975229

P. R. Everall, Giles W. Hunt

Publication date: 9 April 2000

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(99)00008-3

zbMATH Keywords

stabilityboundary conditionspartial differential equationnumerical solutionparameter spacesystem of ordinary differential equationsArnold tonguemode jumpingsecondary bifurcationvon Kármán plate theorypostbuckled state

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60)

Related Items (7)

Bifurcation structure and scaling properties of a subsonic periodically driven panel with geometric nonlinearity ⋮ Bifurcations and catastrophes of a two-degrees-of-freedom nonlinear model simulating the buckling and postbuckling of rectangular plates ⋮ Melnikov's method for chaos of a two-dimensional thin panel in subsonic flow with external excitation ⋮ On the aeroelastic stability and bifurcation structure of subsonic nonlinear thin panels subjected to external excitation ⋮ Elastic nonlinear stability analysis of thin rectangular plates through a semi-analytical approach ⋮ The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate ⋮ Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure

Uses Software

• AUTO

Cites Work

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• Boundary conditions and mode jumping in the buckling of a rectangular plate
• Singularities and groups in bifurcation theory. Volume I
• The secondary buckling and post-secondary-buckling behaviours of rectangular plates
• Mode jumping in biaxially compressed plates
• Secondary buckling of a flat plate under uniaxial compression. Part 1. Theoretical analysis of simply supported flet plate; part 2. Analysis of clamped plate by F.E.M. and comparison with experiments
• Coupled branching configurations in the elastic buckling of symmetric structural systems
• Arnold tongues and mode–jumping in the supercritical post–buckling of an archetypal elastic structure
• Finite element analysis of the buckling and mode jumping of a rectangular plate
• Computation of localized post buckling in long axially compressed cylindrical shells
• Small denominators. I. Mappings of the circumference onto itself

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