Nonlinear scalar model of a suspension bridge: existence of multiple periodic solutions

DOI10.1088/0951-7715/16/3/320zbMath1035.35008OpenAlexW2065278214MaRDI QIDQ4430695

Petr Nečesal, Pavel Drábek

Publication date: 12 October 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/3/320

zbMATH Keywords

bifurcationFučik spectrumsuspension bridge

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32)

Related Items (11)

Nonlinear models of suspension bridges: discussion of the results. ⋮ A new model for suspension bridges involving the convexification of the cables ⋮ Studies on bifurcation and chaos of a string-beam coupled system with two degrees-of-freedom ⋮ Oscillations in suspension bridges, vertical and torsional ⋮ Suspension bridges with non-constant stiffness: bifurcation of periodic solutions ⋮ Chaotic vibration and resonance phenomena in a parametrically excited string-beam coupled system ⋮ Torsional instability in suspension bridges: the Tacoma Narrows Bridge case ⋮ \(3:1\) internal resonance of a string-beam coupled system with cubic nonlinearities ⋮ Localization of Fučík curves for the second order discrete Dirichlet operator ⋮ On the periodic motion of one-dimensional oscillator between two elastic walls ⋮ A note on the relation between the Fučík spectrum and Pareto eigenvalues

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