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Brief History of Suspension Bridges Read chapter Read first chapter

2015 | OriginalPaper | Chapter

5. Plate Models

Author : Filippo Gazzola

Published in: Mathematical Models for Suspension Bridges

Publisher: Springer International Publishing

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Abstract

The most natural way to describe the bridge roadway is to view it as a rectangular elastic plate. Rocard (Dynamic instability: automobiles, aircraft, suspension bridges. Crosby Lockwood, London, 1957, p. 150) writes:
The plate as a model is perfectly correct and corresponds mechanically to a vibrating suspension bridge.
In this chapter we make some attempts to model suspension bridges with nonlinear plate equations. We discuss both material nonlinearities, such as the behavior of the restoring force due to the hangers and the sustaining cables, and geometric nonlinearities due to possible wide oscillations which bring the plate (roadway) far away from its equilibrium position. The results in the present chapter should be seen as a prelude of more detailed studies aiming to increase the knowledge of the qualitative behavior of suspension bridges through plate models. Still, these results are sufficient to highlight a torsional instability and the existence of a flutter energy similar to those described in the previous chapters for different models.

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Metadata
Title
Plate Models
Author
Filippo Gazzola
Copyright Year
2015
Book
Mathematical Models for Suspension Bridges

Print ISBN: 978-3-319-15433-6

Electronic ISBN: 978-3-319-15434-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-15434-3_5

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