Cybernetics and Systems Analysis

, Volume 54, Issue 2, pp 232–241 | Cite as

Three-Dimensional Integral Mathematical Models of the Dynamics of Thick Elastic Plates

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Abstract

The complex of problems related to constructing three-dimensional field of elastic dynamic displacements of flat elastic plate with arbitrary boundary-edge surface is solved. It is assumed that boundary condition of the plate is given in terms of powerful perturbation factors or displacement vector function. Problems solutions are based on classical Lame equations of spatial theory of elasticity under root-mean-square consistency of the solution with corresponding external-dynamic observations of the plate. The accuracy of such consistency is estimated. The uniqueness conditions for the solution of the considered problems are formulated.

Keywords

spatially distributed dynamic systems spatial problems of elasticity theory pseudoinversion thick elastic plates 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Taras Shevchenko National University of KyivKyivUkraine

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