Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 52, 2020 Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

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

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

Краткое описание

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.

ЛИТЕРАТУРА

  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:

POSTBUCKLING BEHAVIOR OF SKEW COMPOSITE PLATES
Composites: Mechanics, Computations, Applications: An International Journal, Vol.3, 2012, issue 2
Yu. V. Gaidarzhi, N. S. Azikov
NATURAL VIBRATIONS OF A COMPOSITE CYLINDRICAL SHELL WITH AN ELASTIC FILLER
Composites: Mechanics, Computations, Applications: An International Journal, Vol.7, 2016, issue 2
D. V. Leonenko, Lev N. Rabinskiy, E. I. Starovoitov
NONLINEAR MULTILEVEL MODELS FOR COMPOSITE DEFORMATION AND FRACTURE MECHANICS
Composites: Mechanics, Computations, Applications: An International Journal, Vol.4, 2013, issue 3
Yu. V. Sokolkin, E. Yu. Makarova
INFLUENCE OF THE ACCOUNT FOR THE ANISOTROPY OF THE ELASTIC AND PLASTIC PROPERTIES OF A MATERIAL ON THE RESULTS OF CALCULATIONS OF THE SHOCK LOADING OF AN ALUMINUM BARRIER
Composites: Mechanics, Computations, Applications: An International Journal, Vol.1, 2010, issue 3
M. A. Kozlova, M. N. Krivosheina
On an Integral Model of the Transverse Dynamic Displacements of a Thick Elastic Layer
Journal of Automation and Information Sciences, Vol.45, 2013, issue 1
Konstantin V. Dvirnychuk , Vladimir Antonovich Stoyan