CI²MA - Publications | Preprints

Preprint 2018-47

Marcelo Cavalcanti, Wellington Correa, André Domingos, Zaid Hajjej, Mauricio Sepúlveda, Rodrigo Véjar:

Uniform decay rates for a suspension bridge with locally distributed nonlinear damping

Abstract:

We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature we prove the asymptotic stability of the considered model with a minimum amount of damping which represents less cost of material. The result is also numerically proved.

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