Displaying similar documents to “A Landesman-Lazer type condition and the long time behaviour of floating plates”

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.

Mathematical models of suspension bridges

Gabriela Tajčová (1997)

Applications of Mathematics

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In this work we try to explain various mathematical models describing the dynamical behaviour of suspension bridges such as the Tacoma Narrows bridge. Our attention is concentrated on the derivation of these models, an interpretation of particular parameters and on a discussion of their advantages and disadvantages. Our work should be a starting point for a qualitative study of dynamical structures of this type and that is why we have a closer look at the models, which have not been...