Exponential stability for laminated beams with intermediate damping
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In this manuscript, we consider a system composed of two identical Timoshenko beams joined by an adhesive layer of negligible thickness, producing an interfacial slip. We introduce a dissipative mechanism not previously considered given by a(- ¿) ¿ut, 0 = ¿= 1 , a> 0 , which includes the frictional damping case (¿= 0) and the Kelvin–Voigt damping case (¿= 1). Using the semigroup theory of linear operators, we show the well-posedness of the system and demonstrate that its solutions decay exponentially.
How to citeCabanillas, V. R. & Raposo, C. A. (2022). Exponential stability for laminated beams with intermediate damping. Archiv der Mathematik, 118(6), 625-635. https://doi.org/10.1007/s00013-022-01730-4
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JournalArchiv der Mathematik
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- Estudios Generales