LONG-TERM DYNAMICS OF THE COUPLED SUSPENSION BRIDGE SYSTEM

DOI10.1142/S0218202512500212zbMath1252.35186MaRDI QIDQ3166759

Elena Vuk, Ivana Bochicchio, Claudio Giorgi

Publication date: 15 October 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

exponential stabilityglobal attractor

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability of topological dynamical systems (37B25) Bifurcation and buckling (74G60) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Strings (74K05) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (11)

Analysis of a thermoelastic Timoshenko beam model ⋮ Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Asymptotic behavior and numerical approximation of a double-suspended bridge system ⋮ Steady states and nonlinear buckling of cable-suspended beam systems ⋮ Long-term dynamics of a viscoelastic suspension bridge ⋮ On the viscoelastic coupled suspension bridge ⋮ Steady-state solutions for a suspension bridge with intermediate supports ⋮ Modeling suspension bridges through the von Kármán quasilinear plate equations ⋮ Well-posedness and longtime behaviour of a coupled nonlinear system modeling a suspension bridge ⋮ Asymptotic behavior of coupled linear systems modeling suspension bridges

Cites Work

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• Existence of strong solutions and global attractors for the coupled suspension bridge equations
• Initial-boundary value problem for the nonlinear string-beam system.
• Asymptotic behavior of a parabolic-hyperbolic system
• Nonlinear perturbations of a coupled system of steady-state suspension bridge equations
• Stability theory for an extensible beam
• Initial-boundary value problems for an extensible beam
• STEADY STATES OF THE HINGED EXTENSIBLE BEAM WITH EXTERNAL LOAD
• On the extensible viscoelastic beam

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