Measurements of collisional properties of spheres using high-speed video analysis

TLDR

The study reports measurements of collisional properties of spheres via high‑speed video analysis and investigates how the normal coefficient of restitution depends on size and impact velocity. High‑speed video analysis was employed to capture collisions and quantify the size and velocity dependence of the normal coefficient of restitution. The measurements agree with a simple collision operator, reveal two dissipation regimes, and show that plastic deformation models fit high‑velocity impacts while viscoelastic models qualitatively match low‑velocity data.

Abstract

In this paper we report measurements of collisional properties of spheres using high-speed video analysis. These results agree with a simple collision operator. We study the size and velocity dependences of the coefficient of restitution in the normal direction. The experimental data are compared with the relevant models of energy dissipation and show the existence of two dissipation regimes. For large impact velocities a plastic deformation model is in good agreement with our measurements, while for smaller velocities a model of viscoelastic dissipation gives qualitative agreement.