SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

# 自动化与信息科学期刊

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.

### REFERENCES

1. Skopetskiy V.V., Stoyan V.A., Krivonos Yu.G., Mathematical modeling of direct and inverse problems of dynamics of systems with distributed parameters.

2. Stoyan V.A., Mathematical modeling of linear, quasilinear and nonlinear dynamical systems.

3. Timoshenko S.P., Course of theory of elasticity.

4. Grigolyuk E.I., Selezov I.T., Mechanics of rigid deformable bodies. Vol. 5, Nonclassical theories of oscillations of rods, plates and shells.

5. Lurie A.I., Spatial problems of elasticity theory.

6. Stoyan V.A., On semi-three-dimensional equations of axisymmetric problem of elastodynamics of thick slabs.

7. Petrashen G.I., To theory of oscillations of thin plates.

8. Petrashen G.I., Molotkov L.A., On some problems of dynamical theory in the case of media, which contain thin layers.

9. Selezov I.T., Investigation of transversal oscillations of plates.

### Articles with similar content:

SIZE-DEPENDENT POSTBUCKLING OF ANNULAR NANOPLATES WITH DIFFERENT BOUNDARY CONDITIONS SUBJECTED TO THE AXISYMMETRIC RADIAL LOADING INCORPORATING SURFACE STRESS EFFECTS
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 1
M. Faghih Shojaei, R. Ansari, V. Mohammadi, Raheb Gholami
MODELING OF THIN COMPOSITE LAMINATES WITH GENERAL ANISOTROPY UNDER HARMONIC VIBRATIONS BY THE ASYMPTOTIC HOMOGENIZATION METHOD
International Journal for Multiscale Computational Engineering, Vol.15, 2017, issue 3
I.D. Dimitrienko, Yu. I. Dimitrienko
MODELING AND NUMERICAL SIMULATION OF THE STATIC BEHAVIOR OF MAGNETO-ELECTRO-ELASTIC MULTILAYER PLATES BASED ON A WINKLER-PASTERNAK ELASTIC SUPPORT
Composites: Mechanics, Computations, Applications: An International Journal, Vol.11, 2020, issue 2
Mustapha Hamidi, S. Zaki, Mohamed Aboussaleh
THERMOELASTIC BENDING ANALYSIS OF ORTHOTROPIC PLATES USING HYPERBOLIC SHEAR DEFORMATION THEORY
Composites: Mechanics, Computations, Applications: An International Journal, Vol.4, 2013, issue 3
Atteshamuddin Shamshuddin Sayyad, Yuwaraj M. Ghugal, B. M. Shinde
POSTBUCKLING BEHAVIOR OF SKEW COMPOSITE PLATES
Composites: Mechanics, Computations, Applications: An International Journal, Vol.3, 2012, issue 2
Yu. V. Gaidarzhi, N. S. Azikov