Influence of Spherical Body Diameter on Impact Interaction Dynamics

Abstract

A mechanorheological viscoelastic–plastic model was applied to study the influence of a spherical body diameter on the impact duration. With an increasing spherical body diameter, the body mass and the surface curvature radius increase. Simultaneous and separate effects of both factors were studied. Impact interaction was simulated using a mathematical model. The study identified that a simultaneous increase in both factors (body mass and surface curvature radius) increases the impact duration. An increase in the body mass leads to a more significant increase in the impact duration because at the same initial impact speed, body deformation and deformation time increase. An increase in the surface curvature radius decreases the impact time because of the rigidity of the elastic body, i.e. elastic resistance to deformation, increases in the deformation zone. At the same initial speed, body deformation and deformation time decrease. Therefore, under the simultaneous influence of two factors, an increase in impact duration is less significant. At various values of model parameters, an increase in plasticity increases impact duration. This phenomenon is accounted for an increase in full deformation and impact time due to the influence of the plastic unit. Thus, the mechanorheological model identified that impact time depends on impacting body parameters (mass and surface curvature radius) influencing the dynamics of body movement and deformation. To improve simulation and research result accuracy and reliability, it is necessary to account for the influence of these factors on the dynamics of impact interaction when solving practical tasks.