This paper is concerned with long-time dynamics of laminated beams modeled from the well established Timoshenko system. Of particular interest is a model of two-layered beam proposed by Hansen and Spies which describes the slip effect produced by a thin adhesive layer uniting the structure. In a more general setting, involving a nonlinear foundation, we establish the existence of smooth finite dimensional global attractors for the corresponding solution semigroup.
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The authors thank the referee for his/her constructive remarks on a previous version of the paper. They also thank the partial support of CNPq (Brazil).
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Feng, B., Ma, T.F., Monteiro, R.N. et al. Dynamics of Laminated Timoshenko Beams. J Dyn Diff Equat 30, 1489–1507 (2018). https://doi.org/10.1007/s10884-017-9604-4
- Timoshenko system
- Laminated beam
- Interfacial slip
- Global attractor
- Superlinear damping
- Quasi-stable systems
Mathematics Subject Classification