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：

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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。