A mathematical model of suspension bridges.

DOI10.1023/B:APOM.0000024519.46627.4FzbMath1099.74037MaRDI QIDQ851608

Gabriela Liţcanu

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33173

zbMATH Keywords

periodic solutionssuspension bridgesGalerkin approximationLeray-Schauder principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type ⋮ Nonlinear models of suspension bridges: discussion of the results. ⋮ Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Existence of exponential attractors for the coupled system of suspension bridge equations ⋮ Uniform compact attractors for the coupled suspension bridge equations ⋮ Random attractors for the coupled suspension bridge equations with white noises ⋮ Existence of strong solutions and global attractors for the coupled suspension bridge equations

Cites Work

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• On periodic solutions of the nonlinear suspension bridge equation
• Nonlinear oscillations in a suspension bridge
• Coupled string-beam equations as a model of suspension bridges.
• Mathematical models of suspension bridges.
• Initial-boundary value problems for an extensible beam
• Travelling Waves in a Suspension Bridge
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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