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Natural Frequencies of Layered Composite Plates-Strips with Components Compliant to Transverse Shear and Compression

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On the basis of relations of a version of the refined theory of dynamic deformation of composite plates, we propose a mathematical model of the process of free vibration of layered plates-strips with components compliant to transverse shear and compression. A characteristic equation is deduced for the case of hinging of elongated edges of the lower component. An analytic expression is obtained for the spectrum of natural frequencies of a two-layer plate-strip. We also analyze the influence of discreteness of the investigated structure in thickness and the compliance of plates to transverse compression on these frequencies.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    M. V. Marchuk & V. S. Pakosh

  2. “L’vivs’ka Politekhnika” National University, Lviv, Ukraine

    M. V. Marchuk

  3. Yangel “’Pivdenne’ Design Office” State Enterprise, Dnepropetrovsk, Ukraine

    V. M. Kharchenko

Authors
  1. M. V. Marchuk
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  2. V. S. Pakosh
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  3. V. M. Kharchenko
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 151–156, April–June, 2013.

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Marchuk, M.V., Pakosh, V.S. & Kharchenko, V.M. Natural Frequencies of Layered Composite Plates-Strips with Components Compliant to Transverse Shear and Compression. J Math Sci 203, 185–192 (2014). https://doi.org/10.1007/s10958-014-2099-1

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  • DOI: https://doi.org/10.1007/s10958-014-2099-1

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