Abstract
We consider a degenerate plate model for suspension bridges, composed by a central beam moving vertically and by a continuum of cross-sections free to rotate around the beam. We study the torsional stability of such structures and we investigate under different boundary conditions how the internal resonances, which depend on the bridge structure only, are the source of torsional oscillations. The stability analysis is carried out by means of standard Floquet theory and via KAM techniques.
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