Exponential stability for a structure with interfacial slip and frictional damping

Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

“…For stability of laminated Timoshenko beams with structural memory, one can refer to the previous studies. () For laminated Timoshenko beams with second sound, one can find a stability result in Apalara …”

“…Tatar considered the same model as in Wang et al and improved the exponential result without the conditions and k i ≠ r i ,( i =1,2). Raposo studied a structure with interfacial slip and frictional damping and proved the exponential stability of the system by using energy method. Recently, the present author and his co‐authors studied a laminated Timoshenko beam with additional damping and forcing terms.…”

Exponential and Polynomial Decay for a Laminated Beam with Fourier's Type Heat Conduction

“…Taking the derivative of I 4 (t) with respect to t, using (1.5) 2 , (1.5) 4 and integrating by parts, we get…”

“…More importantly, the authors proved that the dominant part of the system is itself exponentially stable. Raposo [4] considered system (1.1) with two frictional dampings of the form        ρφ tt + G(ψ − φ x ) x + k 1 φ t = 0, (x, t) ∈ (0, 1) × (0, +∞),…”

On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation

“…The authors showed that for viscoelastic material there is no need for any kind of internal or boundary control to stabilize exponentially the system of laminated beams with interfacial slip. For more papers concerning the laminated beam, we refer to [11,14,16]. Moreover, it is well known that when w ≡ 0, we recover the standard Timoshenko system.…”