Stability of a suspension bridge with structural damping
Volume 125 / 2020
Annales Polonici Mathematici 125 (2020), 59-70
MSC: 35L51, 35B41.
DOI: 10.4064/ap191023-4-2
Published online: 4 May 2020
Abstract
We investigate the exponential stability of a rectangular plate equation assumed to be hinged on its vertical edges and free on its remaining horizontal edges. Our problem models the deformation of a suspension bridge under a structural damping.