Bifurcations of the von Kármán equations with Robin boundary conditions

DOI10.1016/S0898-1221(99)00208-4zbMath0942.74023MaRDI QIDQ1963109

Yanyan Li

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

linear stabilitycontinuation methodRobin boundary conditionscentral difference approximationmode jumpingvon Kármán plate equationspectral theory of linearized operator

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

The projective-iterative method and neural network estimation for buckling of elastic plates in nonlinear theory ⋮ Tracing the buckling of a rectangular plate with the block GMRES method

Cites Work

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• Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
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• Mode Jumping In The Von Kármán Equations
• GMRES On (Nearly) Singular Systems
• Boundary Conditions and Mode Jumping in the von Kármán Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A theory for imperfect bifurcation via singularity theory
• Multiple Bifurcation in the von Kármán Equations
• Variation of bifurcations along a homotopy from Neumann to Dirichlet problems
• Continuation and Local Perturbation for Multiple Bifurcations
• Nonlinear problems of elasticity

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