SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

# Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i8.50
pages 44-54

## On Construction of Differential Model of Transversal Dynamic Displacements of Thick Elastic Layer

Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Konstantin V. Dvirnychuk
Kiev National Taras Shevchenko University; Chernovtsy Yuriy Fedkovich National University, Chernovtsy

### ABSTRACT

The differential model, which determines three-dimensional field of transversal dynamic displacements of elastic layer of constant thickness by means of its surface loading, was constructed. Model is two-dimensional differential equation, which depends on degenerated coordinate. Special case of the model are classical and improved equations of dynamics of thin plates, obtained by other authors on the basis of different mechanical hypotheses.

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