Asymptotic behavior of coupled linear systems modeling suspension bridges

DOI10.1007/s00033-014-0414-9zbMath1329.35059OpenAlexW2000493910MaRDI QIDQ2355509

Filippo Dell'Oro, Vittorino Pata, Claudio Giorgi

Publication date: 23 July 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-014-0414-9

zbMATH Keywords

contraction semigroupGearhart-Prüss theoremstability and exponential stabilitystring-beam systemcoupled wave equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Stability of dynamical problems in solid mechanics (74H55) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Higher-order hyperbolic systems (35L55) Strings (74K05)

Related Items (6)

Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Steady states and nonlinear buckling of cable-suspended beam systems ⋮ Uniform decay rates of a coupled suspension bridges with temperature ⋮ Polynomial stability of a suspension bridge model by indirect dampings ⋮ A Suspension Bridge Problem: Existence and Stability

Cites Work

• Unnamed Item
• Unnamed Item
• Planar nonlinear free vibrations of an elastic cable
• Existence of strong solutions and global attractors for the suspension bridge equations
• Existence of strong solutions and global attractors for the coupled suspension bridge equations
• Semigroups of linear operators and applications to partial differential equations
• Nonlinear oscillations in a suspension bridge
• Existence and stability of large scale nonlinear oscillations in suspension bridges
• Initial-boundary value problem for the nonlinear string-beam system.
• Nonlinear perturbations of a coupled system of steady-state suspension bridge equations
• Energy decay of type III linear thermoelastic plates with memory
• Asymptotic dynamics of nonlinear coupled suspension bridge equations
• Stability properties of an abstract system with applications to linear thermoelastic plates
• LONG-TERM DYNAMICS OF THE COUPLED SUSPENSION BRIDGE SYSTEM
• On the Spectrum of C 0 -Semigroups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• A nonlinear suspension bridge equation with nonconstant load
• Mathematical Analysis of Dynamic Models of Suspension Bridges

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