A partially hinged rectangular plate as a model for suspension bridges

Alberto  Ferrero; Filippo Gazzola

doi:10.3934/dcds.2015.35.5879

Article Contents

2015, Volume 35, Issue 12: 5879-5908. Doi: 10.3934/dcds.2015.35.5879

This issue Previous Article Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems Next Article Harnack type inequalities for some doubly nonlinear singular parabolic equations

A partially hinged rectangular plate as a model for suspension bridges

Alberto Ferrero^1, and
Filippo Gazzola^2,

1.
Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale "Amedeo Avogadro", Viale Teresa Michel 11, 15121 Alessandria
2.
Dipartimento di Matematica Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano

Received: June 30, 2013

Published: November 2015

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Abstract

A plate model describing the statics and dynamics of a suspension bridge is suggested. A partially hinged plate subject to nonlinear restoring hangers is considered. The whole theory from linear problems, through nonlinear stationary equations, ending with the full hyperbolic evolution equation is studied. This paper aims to be the starting point for more refined models.

Keywords:

Mathematics Subject Classification: 35A15, 35C10, 35G31, 74B20, 74K20.

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