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Uniform decay rates for a suspension bridge with locally distributed nonlinear damping
Journal of the Franklin Institute ( IF 3.7 ) Pub Date : 2020-01-13 , DOI: 10.1016/j.jfranklin.2020.01.004
André D. Domingos Cavalcanti , Marcelo M. Cavalcanti , Wellington J. Corrêa , Zayd Hajjej , Mauricio Sepúlveda Cortés. , Rodrigo Véjar Asem

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.



中文翻译:

具有局部分布非线性阻尼的悬索桥的均匀衰减率

我们研究了一个非局部演化方程,该方程对桥的变形进行建模,桥既可以是人行桥,也可以是悬索桥。与先前的文献相反,我们证明了所考虑的模型的渐近稳定性以及最小的阻尼量,这表示较少的材料成本。结果也得到了数值证明。

更新日期:2020-03-20
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