Vibrations in engineering and technology

Solona Olena – Candidate of Technical Sciences, Associate Professor of the Department of General Technical Disciplines and Labor Protection, Vinnytsia National Agrarian University (3, Solnyschaya St., Vinnytsia, Ukraine, 21008, e-mail: solona_o_v@ukr.net).

The article presents an analysis of the formalization of the statics of a granular discrete medium, as well as solid concretions in it. Based on the analysis, a formalization of the granular medium in the form of a viscous plastic model of the Bingham solid has been proposed. The equations obtained can be used to determine the distribution of stresses and densities of a granular medium with various mechanical properties and the pressure of a granular medium to the walls of a container of arbitrary geometric shape.The above equilibrium conditions and equilibrium violation for concretions that are found in a granular medium allow one to determine their possible displacements in a stationary medium too. The main purpose of obtaining the above equations is to use them when solving the problem of the movement of concretions in a container that is driven into an oscillatory motion.

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