Abstract
For the theoretical definition of the law of motion and operating modes of the vibration plate of the surface vibration working body with polymer concrete, a study of the dynamic system "vibration plate - polymer concrete" was carried out. 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 on the part of polymer concrete when it is deformed into a form on a rigid foundation. According to the accepted rheological model of polymer concrete for conditions of uniaxial stress state, a partial derivative relationship is proposed between the stress and deformation of polymer concrete, the nature of which depends on the dynamic modulus of elastic deformation, the dynamic modulus of elastic deformation of Maxwell and the coefficient of dynamic viscosity. A wave equation of vibrations has been compiled, which describes the propagation of elastic-viscous deformation waves in polymer concrete, which is deformed by a surface vibrating working body, the solutions of which made it possible to determine: the regularity of propagation of elastic-viscous deformation waves in compacted polymer concrete, as well as theoretical expressions for the numerical determination of the reduced coefficients stiffness and dissipative resistance of polymer concrete, added mass; the law of motion and the amplitude of vibrations of the vibrating plate, as well as the laws of motion of the surface layer of polymer concrete. The obtained theoretical dependences make it possible to reasonably determine the rational parameters of the vibrating working body and the main operating modes of the vibrating plate, depending on the found physical and mechanical characteristics of the polymer concrete compacted by vibration. The results obtained can be further used to carry out theoretical studies on the analytical determination of the nature of the change in stresses along the height of the compacted layer of polymer concrete, as well as in the analysis and synthesis of the obtained vibro-shock mode of operation of the vibrating plate.
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