Oscillations in suspension bridges, vertical and torsional

P. J. McKenna

doi:10.3934/dcdss.2014.7.785

Article Contents

2014, Volume 7, Issue 4: 785-791. Doi: 10.3934/dcdss.2014.7.785

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Oscillations in suspension bridges, vertical and torsional

P. J. McKenna^1,

1.
Department of Mathematics, University of Connecticut, Storrs, CT 06269

Received: October 31, 2013

Published: July 2014

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Abstract

We first review some history prior to the failure of the Tacoma Narrows suspension bridge. Then we consider some popular accounts of this in the popular physics literature, and the scientific and scholarly basis for these accounts and point out some failings. Later, we give a quick introduction to three different models, one single particle, one a continuum model, and two systems with two degrees of freedom.

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Mathematics Subject Classification: 35L75, 70K40, 35J60.

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