Marcelo Cavalcanti, Wellington Correa, André Domingos, Zaid Hajjej, Mauricio Sepúlveda, Rodrigo Véjar:
Uniform decay rates for a suspension bridge with locally distributed nonlinear damping
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.
This preprint gave rise to the following definitive publication(s):
Marcelo CAVALCANTI, Wellington CORREA, André DOMINGOS, Zaid HAJJEJ, Mauricio SEPúLVEDA, Rodrigo VéJAR: Uniform decay rates for a suspension bridge with locally distributed nonlinear damping. Journal of the Franklin Institute, vol. 357, 4, pp. 2388-2419, (2020).