Coupled string-beam equations as a model of suspension bridges.
type: Item
instance of: scholarly article
title: Coupled string-beam equations as a model of suspension bridges.
zbMATH Open document ID: 1059.74522
DOI: 10.1023/A:1022257304738
author: Pavel Drábek
author: Herbert Leinfelder
author: G. Tajčová
published in: Applications of Mathematics
publication date: 2005-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/33029
review text: The authors extend results of a recent paper by \textit{G. Tajčová} [Appl. Math., Praha 42, No. 6, 451--480 (1997; Zbl 1042.74535)] to a broader class of input parameters. A system of two nonlinear partial differential equations represents a model of forced vibration of a central span of a suspension bridge, i.e.\ of the roadbed connected with the main cable by a system of vertical stays. Using a fairly sophisticated functional analytical method, the authors prove (i) the existence of a solution for any square-integrable loading and (ii) the uniqueness of the solution and some regularity, provided the external forcing terms are small in a certain sense and the weight of the cable is sufficiently small in comparison with the weight of the roadbed.
reviewed by: I. Hlaváček
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 2165519
zbMATH Keywords: coupled string-beam equation
zbMATH Keywords: periodic oscillations
zbMATH Keywords: jumping nonlinearities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2165519