Displaying similar documents to “Mathematical models of suspension bridges”

Nonlinear models of suspension bridges: discussion of the results

Pavel Drábek, Gabriela Holubová, Aleš Matas, Petr Nečesal (2003)

Applications of Mathematics

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In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.

Coupled string-beam equations as a model of suspension bridges

Pavel Drábek, Herbert Leinfelder, Gabriela Tajčová (1999)

Applications of Mathematics

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We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.