A mathematical model of suspension bridges.
type: Item
instance of: scholarly article
title: A mathematical model of suspension bridges.
zbMATH Open document ID: 1099.74037
author: Gabriela Liţcanu
published in: Applications of Mathematics
publication date: 2006-11-21T00:00:00Z
full work available at URL: https://eudml.org/doc/33173
review text: The author considers a one-dimensional nonlinear string-beam system describing the vertical oscillations of a suspension bridge which is coupled with the main cable by the stays. The main cable is modelled as a vibrating string and the roadbed of the bridge is represented by a bending beam with simply supported ends. Using the Galerkin method together with the Leray-Schauder principle, the existence of a weak periodic solution is proved. Moreover, a regularity result is also given under some additional assumptions.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 5074712
zbMATH Keywords: suspension bridges
zbMATH Keywords: periodic solutions
zbMATH Keywords: Galerkin approximation
zbMATH Keywords: Leray-Schauder principle
reviewed by: Petr Necesal
MaRDI profile type: Publication
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cites work: Mathematical models of suspension bridges.
DOI: 10.1023/B:APOM.0000024519.46627.4F
description: scientific article; zbMATH DE number 5074712