Dynamics of Laminated Timoshenko Beams
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.
KeywordsTimoshenko system Laminated beam Interfacial slip Global attractor Superlinear damping Quasi-stable systems
Mathematics Subject Classification35B41 35L53 74K10
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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