TY - JOUR
AU1 - J. McKenna, P.
AU2 - ,Department of Mathematics, University of Connecticut, Storrs, CT 06269
AU3 - 
AB - DISCRETE AND CONTINUOUS doi:10.3934/dcdss.2014.7.785 DYNAMICAL SYSTEMS SERIES S Volume 7, Number 4, August 2014 pp. 785{791 OSCILLATIONS IN SUSPENSION BRIDGES, VERTICAL AND TORSIONAL P. J. McKenna Department of Mathematics University of Connecticut Storrs, CT 06269, USA Abstract. We rst 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 scienti c and scholarly basis for these accounts and point out some failings. Later, we give a quick introduction to three di erent models, one single particle, one a continuum model, and two systems with two degrees of freedom. 1. Introduction. When one nds a general principle occuring in any area of di er- ential equations, it is natural to think that it should have applications in the area of periodic vibrations in simple mechanical systems, since these are usually described by simple nonlinear second order ordinary or partial di erential equations. We rst review the behaviour of a famous suspension bridge prior to its collapse and the role that nonlinear behaviour played in its collapse. Then we review three di erent mechanical models which incorporate di erent aspects of slackening. 2. 
TI - Oscillations in suspension bridges, vertical and torsional
JF - Discrete & Continuous Dynamical Systems - S
DO - 10.3934/dcdss.2014.7.785
DA - 2014-01-01
UR - https://www.deepdyve.com/lp/unpaywall/oscillations-in-suspension-bridges-vertical-and-torsional-7IddjetpCS
DP - DeepDyve
ER -