Dynamics of Laminated Timoshenko Beams

  • B. Feng
  • T. F. Ma
  • R. N. Monteiro
  • C. A. Raposo
Article

Abstract

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.

Keywords

Timoshenko system Laminated beam Interfacial slip Global attractor Superlinear damping Quasi-stable systems 

Mathematics Subject Classification

35B41 35L53 74K10 

Notes

Acknowledgements

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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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • B. Feng
    • 1
  • T. F. Ma
    • 2
  • R. N. Monteiro
    • 3
  • C. A. Raposo
    • 4
  1. 1.Faculty of Economic MathematicsSouthwestern University of Finance and EconomicsChengduPeople’s Republic of China
  2. 2.Institute of Mathematical and Computer SciencesUniversity of São PauloSão CarlosBrazil
  3. 3.National Laboratory of Scientific ComputationPetrópolisBrazil
  4. 4.Department of Mathematics and StatisticsFederal University of São João del-ReiSão João del-ReiBrazil

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