Tilloev Kudratullo Zuvaidulloevich

Annotation: 

The paper presents an analytical study of the efficiency of combined application methods of vibrational loading to a dispersed material (such as sandy loam, clay, and loam) considering the frictional forces along the mold walls. To solve this problem, the stresses arising in the compacted dispersed material under simultaneous static and vibrational loading, taking into account wall friction, are analyzed. Using the equation of motion for the dispersed medium, the stresses and strains in the material are determined. For this purpose, the deformations are assumed to be small and linear, which makes it possible to apply Hooke’s law and the equations of the theory of elasticity. The problem is considered within the linear approximation, subject to appropriate boundary conditions.

Keywords: dispersive material, mathematical model, static and dynamic loads, wall friction force, linearization of the equation, theory of elasticity.