We consider a second order system of two ODEs which arises as a single mode Galerkin projection of the so-called fish-bone (Berchio and Gazzola, 2015) model of suspension bridges. The two unknowns represent flexural and torsional modes of vibration of the deck of the bridge. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We establish a condition depending on a set of 3 parameters under which the flexural motions are unstable provided the energy is sufficiently large.

An instability result in the theory of suspension bridges / Marchionna, Clelia; Panizzi, Stefano. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 140(2016), pp. 12-28. [10.1016/j.na.2016.03.003]

An instability result in the theory of suspension bridges

PANIZZI, Stefano
2016

Abstract

We consider a second order system of two ODEs which arises as a single mode Galerkin projection of the so-called fish-bone (Berchio and Gazzola, 2015) model of suspension bridges. The two unknowns represent flexural and torsional modes of vibration of the deck of the bridge. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We establish a condition depending on a set of 3 parameters under which the flexural motions are unstable provided the energy is sufficiently large.
An instability result in the theory of suspension bridges / Marchionna, Clelia; Panizzi, Stefano. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 140(2016), pp. 12-28. [10.1016/j.na.2016.03.003]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2815691
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