ТЕОРЕТИЧНЕ ВИЗНАЧЕННЯ ЗАКОНОМІРНОСТІ ЗМІНИ НАПРУЖЕНЬ, ЯКІ ВИНИКАЮТЬ У ПОЛІМЕРНОМУ БЕТОНІ ПРИ ЙОГО УЩІЛЬНЕННІ ВІБРАЦІЙНОЮ ПЛИТОЮ

Abstract

Purpose. Based on a thorough analysis of the scientific and technical literature, it is established that for the mass production of quality materials and products from polymer concrete compositions, the most effective will be a vibration method of sealing, which means that when they are received, the vibrating working bodies of the forming technological equipment will interact with the polymer concrete mass. Methodology. For the theoretical determination of the nature of the interaction of the surface vibrating working body with polymer concrete, the study of the dynamic system "vibration plate - polymer concrete" was performed. In this dynamic system, compacted polymer concrete is presented in the form of a system with distributed parameters, which takes into account the action of elastic and dissipative resistance forces acting from the polymer concrete side when it is deformed on a vibrating working body. Results. In accordance with the accepted rheological model of polymer concrete for the uniaxial stress condition, the dependence in the individual derivatives be- tween the stress and the deformation of the polymer concrete is proposed, the nature of which depends on the dynamic modulus of elastic deformation, the dynamic modulus of Maxwell's elastic deformation and the coefficient of dynamic viscosity. A wave equation of oscillation is proposed, which describes the propagation of elastic-viscous deformation waves in polymer concrete deformed by a surface vibrating working body. To solve the wave equation of oscillations, boundary conditions are drawn. The first boundary condition describes the interaction of a surface vibrating working body with a compacted concrete. The second boundary condition implies that the displacement of the sealed layer of polymer concrete at a certain distance from the surface of the vibrating working body is zero. We find constant integrations (complex am- plitudes) that satisfy the accepted boundary conditions. Originality. Based on the solution of the wave equation of oscil- lations describing the propagation of deformation waves in the compacted concrete, it is determined: the regularity of propagation of elastic-viscous deformation waves in the polymeric concrete and the expressions for numerically deter- mining the coefficients of rigidity polymer concrete resistance, law and vibration amplitude of surface vibrating working body. The stresses arising on the surface and depth of the polymer concrete when exposed to the surface vibrating working body are determined. Practical value. The obtained theoretical dependences make it possible to reasonably determine the rational parameters of the surface vibrating working body depending on the physical and mechanical properties of the compacted polymer concrete.