A three-mass viscoelastic plastic model used for studying mechanics and dynamics of shock interaction of solid bodies in determining the mechanical characteristics of building materials

Abstract

Shock and vibration processes play an important role in engineering. Therefore, the study of mechanics and dynamics of the impact interaction of bodies by modeling these processes is an urgent task. To study dynamic processes, a mechanorheological three-mass viscoelastic plastic model was developed. Differential equations for various stages of motion were obtained. The conditions of transformation during the transition from elastic to plastic deformations, from the loading stage to the unloading one under the impact interaction with the surface were described. The functioning method was studied; the results of experimental studies were presented.