Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 121, Issue -, Pages 54-72Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2014.10.026
Keywords
Suspension bridges; Torsional stability; Hill equation
Categories
Funding
- research project FIR (Futuro in Ricerca) Geometrical and qualitative aspects of PDE's
- PRIN project Equazioni alle derivate parziali di tipo ellittico e parabolico: aspetti geometrici, disuguaglianze collegate, e applicazioni
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We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the origin of torsional instability. We obtain both theoretical and numerical estimates of the thresholds of instability. Our method is based on a finite dimensional projection of the phase space which reduces the stability analysis of the model to the stability of suitable Hill equations. This gives an answer to a long-standing question about the origin of torsional instability in suspension bridges. (C) 2014 Elsevier Ltd. All rights reserved.
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