Stability of a suspension bridge with structural damping
Stability of a suspension bridge
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.
In this paper, a weakly coupled system (by the displacement of symmetric type) consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave…
In this manuscript we consider a coupled, by second order terms, system of two wave
equations with a past history acting on the first equation as a stabilizer. We show that the solution of…
In this paper, a system of coupled quasi-linear and linear wave equations with a finite memory term is concerned. By constructing an appropriate Lyapunov function, we prove that the total energy…