Open AccessOn the viscoelastic coupled suspension bridge
Author(s) -
Ivana Bochicchio,
Claudio Giorgi,
Elena Vuk
Publication year - 2014
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2014.3.373
Subject(s) - viscoelasticity , suspension (topology) , bridge (graph theory) , vibration , string (physics) , nonlinear system , attractor , deck , span (engineering) , structural engineering , constant (computer programming) , mechanics , mathematical analysis , physics , computer science , mathematics , engineering , acoustics , pure mathematics , medicine , quantum mechanics , homotopy , thermodynamics , programming language
In this paper we discuss the asymptotic behavior of a doubly nonlinear problem describing the vibrations of a coupled suspension bridge. The single-span road-bed is modeled as an extensible viscoelastic beam which is simply supported at the ends. The main cable is modeled by a viscoelastic string and is connected to the road-bed by a distributed system of one-sided elastic springs. A constant axial force p is applied at one end of the deck, and time-independent vertical loads are allowed to act both on the road-bed and on the suspension cable. For this general model we obtain original results, including the existence of a regular global attractor for all p