Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

Oscillations in suspension bridges, vertical and torsional

Pages: 785 - 791, Volume 7, Issue 4, August 2014      doi:10.3934/dcdss.2014.7.785

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P. J. McKenna - Department of Mathematics, University of Connecticut, Storrs, CT 06269, United States (email)

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.

Keywords:  Suspension bridge, nonlinear oscillations torsional, vertical.
Mathematics Subject Classification:  35L75, 70K40, 35J60.

Received: November 2013;      Available Online: February 2014.