In this paper we scrutinize the asymptotic behavior of a nonlinear problem which models the vertical vibrations of a suspension bridge. The single-span road-bed is modeled as an extensible viscoelastic beam which is simply supported at the ends. It is suspended to a rigid and immovable frame by means of a distributed system of vertical one-sided elastic springs. A constant axial force p is applied at one end of the deck, and time-independent vertical loads are allowed. For this model we obtain original results, including the existence of a regular global attractor for all p in R. In spite of the extremely weak dissipation due to the convolution term, this result is achieved by exploiting the exponential decay of the memory kernel.

Long-term dynamics of a viscoelastic suspension bridge

GIORGI, Claudio;VUK, Elena
2014-01-01

Abstract

In this paper we scrutinize the asymptotic behavior of a nonlinear problem which models the vertical vibrations of a suspension bridge. The single-span road-bed is modeled as an extensible viscoelastic beam which is simply supported at the ends. It is suspended to a rigid and immovable frame by means of a distributed system of vertical one-sided elastic springs. A constant axial force p is applied at one end of the deck, and time-independent vertical loads are allowed. For this model we obtain original results, including the existence of a regular global attractor for all p in R. In spite of the extremely weak dissipation due to the convolution term, this result is achieved by exploiting the exponential decay of the memory kernel.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/337307
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