Theoretical Study of the Dynamic System «Vibration Platform − Polymer Concrete» Stress–Strain State

Abstract

The analysis of the dynamic system “vibration platform polymer concrete” for the theoretical determination of the polymer concrete stress–strain state compacted by the movable frame of vibration platform was carried out. Polymer concrete, which is compacted by vibration load, was presented as a distributed parameter system. As a result of expression substitution that describes the law of the vibrating platform movable frame motion in the operating mode into the relationship between stress and deformation for the conditions of a uniaxial stress state, the law of stresses changes that arise in the polymer concrete compacted layer was found. The obtained law made it possible to determine the stresses changes in the base and on the surface of the polymer concrete compacted layer, which is deformed on the vibrating platform movable frame. The graphs are based on the found theoretical relationships. They clearly illustrate the changes in the vibration amplitude of the vibrating platform movable frame depending on the height of the product, the stresses that arise at the base and on the surface of the polymer concrete compacted layer, as well as the peculiarities of the stresses changing along the compacted layer height depending on the relative density of the polymer concrete layer for the selected impact vibration mode.