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Unsteady Elastic Diffusion Vibrations of an Orthotropic Rectangular Kirchhoff–Love Plate Considering a Diffusion Fluxes Relaxation

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Abstract

In this paper, the unsteady vibrations of an ortotropic rectangular Kirchhoff–Love plate are studied. In general formulation, the plate is under the action of longitudinal and transverse forces, bending and torque moments. It also set a diffusion fluxes density and a diffusion fluxes relaxation. The coupled elastic diffusion orthotropic multicomponent continuum model has been used to formulate the problem. The d’Alembert variational principle has been used to obtain the plate transverse elastic diffusion vibrations equations from the model.

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Funding

The reported study was funded by Russian Foundation for Basic Research (project no. 20-08-00589 A).

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Authors and Affiliations

  1. Moscow Aviation Institute, 125993, Moscow, Russia

    A. V. Zemskov & D. V. Tarlakovskii

  2. Research Institute of Mechanics, Lomonosov Moscow State University, 119192, Moscow, Russia

    A. V. Zemskov & D. V. Tarlakovskii

Authors
  1. A. V. Zemskov
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  2. D. V. Tarlakovskii
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Corresponding authors

Correspondence to A. V. Zemskov or D. V. Tarlakovskii.

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(Submitted by D. A. Gubaidullin)

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Zemskov, A.V., Tarlakovskii, D.V. Unsteady Elastic Diffusion Vibrations of an Orthotropic Rectangular Kirchhoff–Love Plate Considering a Diffusion Fluxes Relaxation. Lobachevskii J Math 42, 2064–2075 (2021). https://doi.org/10.1134/S1995080221080333

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