Influence of body size on rebound height after shock interaction

Abstract

The mechanorheological model was used to study the relationship of the body size and the rebound height after impact interaction. With an increase in the diameter of a spherical body, the body mass and the radius of surface curvature increase. Therefore, effects of both factors and each separate factor were evaluated. The study identified that with a simultaneous increase in the body mass and the radius of curvature, the rebound height decreases. An increase in the body mass has a slight effect on the rebound height. For the elastic plastic model, an increase in the body mass causes an increase in plastic deformations and a decrease in the rebound height. For the viscoelastic model, an increase in the body mass causes a slight increase in the rebound height. With an increase in the radius f curvature, the rebound height decreases. An increase in model plasticity decreases the rebound height at various values of viscoelastic plastic parameters of the model due to the fact that a lot of impact energy is spent on plastic deformations rather than on the elastic rebound of the body. The research results showed that the rebound height depends on the size of the impacting body.