A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Long-term dynamics of a viscoelastic suspension bridge
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∈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
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∈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
Bochicchio, Ivana (author) / Giorgi, Claudio (author) / Vuk, Elena (author)
Meccanica ; 49 ; 2139-2151
2014
13 Seiten
Article (Journal)
English
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