The global attractor for a suspension bridge with memory and partially hinged boundary conditions

• Published in: Zeitschrift für angewandte Mathematik und Mechanik 2017-02, Vol.97 (2), p.159-172
• Main Authors: Messaoudi, Salim A., Bonfoh, Ahmed, Mukiawa, Soh E., Enyi, Cyril D.
• Format: Article
• Language: English
• Subjects: Boundary conditions; Disks; Dynamic tests; Dynamics; global attractor; infinite memory; Mathematical analysis; Mathematical models; Rectangular plates; Suspension bridge; Suspension bridges; well‐posedness
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.201600034

Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above‐mentioned boundary conditions. We give a rigorous well‐posedness result and establish the existence of a global attractor. Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. The authors consider a plate equation in the presence of memory and subject to the above‐mentioned boundary conditions. They give a rigorous well‐posedness result and establish the existence of a global attractor.