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Dynamics of Laminated Timoshenko Beams

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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.

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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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Authors and Affiliations

  1. Faculty of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, People’s Republic of China

    B. Feng

  2. Institute of Mathematical and Computer Sciences, University of São Paulo, São Carlos, SP, 13566-590, Brazil

    T. F. Ma

  3. National Laboratory of Scientific Computation, Petrópolis, RJ, 25651-070, Brazil

    R. N. Monteiro

  4. Department of Mathematics and Statistics, Federal University of São João del-Rei, São João del-Rei, MG, 36307-352, Brazil

    C. A. Raposo

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  1. B. Feng
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  2. T. F. Ma
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  3. R. N. Monteiro
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  4. C. A. Raposo
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Corresponding author

Correspondence to R. N. Monteiro.

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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

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  • DOI: https://doi.org/10.1007/s10884-017-9604-4

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