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Uniform Stability of a Laminated Beam with Structural Memory

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Abstract

Of concern is a structure consisting of two identical beams of uniform thickness. The beams are fastened tightly but still allowing an interfacial slip between the two components. This means that we are in presence of a longitudinal displacement and at the same time keeping a continuous contact of the layers. These beams are also subject to rotatory inertia and shear forces. We prove uniform stability of the system when a viscoelastic damping acts on the effective rotation and in the slip. This extends previous works where boundary controls were used in addition to a frictional damping in the dynamic of the slip.

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Acknowledgments

The authors would like to acknowledge the support provided by King Abdulaziz City for Science and Technology (KACST) through the Science and Technology Unit at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through Project No. AC -32- 49. Thanks are also due to the referees whose comments and suggestions have improved the paper.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Assane Lo & Nasser-eddine Tatar

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  1. Assane Lo
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  2. Nasser-eddine Tatar
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Correspondence to Nasser-eddine Tatar.

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Lo, A., Tatar, Ne. Uniform Stability of a Laminated Beam with Structural Memory. Qual. Theory Dyn. Syst. 15, 517–540 (2016). https://doi.org/10.1007/s12346-015-0147-y

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  • DOI: https://doi.org/10.1007/s12346-015-0147-y

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