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Journal of Automation and Information Sciences

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On an Integral Model of the Transverse Dynamic Displacements of a Thick Elastic Layer

Volumen 45, Edición 1, 2013, pp. 16-29
DOI: 10.1615/JAutomatInfScien.v45.i1.20
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SINOPSIS

The problem of constructing the integral dependence of the function of spatially distributed transverse dynamic displacements of the points of a thick elastic layer caused by external dynamic loads on its limit surfaces is solved. The obtained results are compared with the solution of the problem of the axisymmetric dynamics of the considered layer, which is constructed by contour integration of the three-dimensional Lame equations.

REFERENCIAS
  1. Skopetsky V.V., Stoyan V.A., Krivonos Yu.G. , Mathematical modeling of direct and inverse problems of the dynamics of the systems with distributed parameters [in Ukrainian].

  2. Skopetsky V.V., Stoyan V.A., Zvaridchuk V.B. , Mathematical modeling of the dynamics of distributed space-time processes [in Ukrainian].

  3. Stoyan V.A. , Mathematical modeling of linear, quasilinear and nonlinear dynamical systems [in Ukrainian].

  4. Timoshenko S.P. , Course of elasticity theory [in Russian].

  5. Grigolyuk E.I., Selezov I.T. , Mechanics of rigid deformable bodies, Volume 5: Nonclassical theories of vibrations of rods, plates and shells [in Russian].

  6. Stoyan V.A., Dvirnichuk К.V. , On construction of differential model of transversal dynamic displacements of thick elastic layer.

  7. Stoyan V.A., Dvirnichuk K.V. , The construction of the integral equivalent of linear differential models [in Ukrainian].

  8. Petrashen G.I. , The theory of vibrations of thin plates.

  9. Petrashen G.I., Molotkov L.A. , Some problems of the dynamic theory in the case of media containing thin layers.

CITADO POR
  1. Stoyan V. A., Dvirnychuk K. V., Mathematical Modeling of Three-Dimensional Fields of Transverse Dynamic Displacements of Thick Elastic Plates, Cybernetics and Systems Analysis, 49, 6, 2013. Crossref

  2. Stoyan V. A., Dvirnychuk K. V., Mathematical Modeling of the Control of Dynamics of Thick Elastic Plates. I. Control Under Continuous Desired State, Cybernetics and Systems Analysis, 50, 3, 2014. Crossref

  3. Stoyan V. A., Some Results in the Mathematical Modeling of the Dynamics of Not Completely Observable Spatially Distributed Systems, Cybernetics and Systems Analysis, 51, 5, 2015. Crossref

  4. Stoyan V. A., Dvirnychuk K. V., Mathematical Modeling of the Control of Dynamics of Thick Elastic Plates. II. Control Under Discrete Desired State, Cybernetics and Systems Analysis, 51, 2, 2015. Crossref

  5. Stoyan V. A., Dvirnychuk K. V., Methods of Pseudo-Inverse Algebra in State Identification Problems for Thick Elastic Plates, Cybernetics and Systems Analysis, 52, 4, 2016. Crossref

  6. Stoyan V. A., Three-Dimensional Integral Mathematical Models of the Dynamics of Thick Elastic Plates, Cybernetics and Systems Analysis, 54, 2, 2018. Crossref

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