Kensrud, J.R., Nathan, A.M., Smith, L.V.: Oblique collisions of baseballs and softballs with a bat. Huang, H.-J., Bo, T.-L., Zhang, R.: Exploration of splash function and lateral velocity based on three-dimensional mixed-size grain/bed collision. E 57, 650 (1998)Īntonyuk, S., Heinrich, S., Tomas, J., Deen, N.G., van Buijtenen, M.S., Kuipers, J.A.M.: Energy absorption during compression and impact of dry elastic-plastic spherical granules. Schwager, T., Pöschel, T.: Coefficient of normal restitution of viscous particles and cooling rate of granular gases. 39, 015003 (2017)īrilliantov, N.V., Albers, N., Spahn, F., Poschel, T.: Collision dynamics of granular particles with adhesion. Hanisch, C., Hofmann, F., Ziese, M.: Linear momentum, angular momentum and energy in the linear collision between two balls.

Schwager, T., Becker, V., Poschel, T.: Coefficient of tangential restitution for viscoelastic spheres. Matter 19, 70 (2017)ĭoménech, A.: Non-smooth modelling of billiard- and superbilliard-ball collisions. Nejat Pishkenari, H., Kaviani Rad, H., Jafari Shad, H.: Transformation of sliding motion to rolling during spheres collision. Eventually, in order to demonstrate the procedure of solving two balls collision, numerical examples are presented. Considering aforementioned issues along with employing momentum conservation, the condition for the possibility of transformation of sliding to sticking or rolling during collision, and furthermore, the analytical relation for post-collision velocities are achieved. Moreover, stick regime is not taken into account and during sliding, Coulomb friction is considered as a tangential force, which is endorsed by collision experimental data in case the collision regime is not stick regime. In this investigation, viscous Hertz contact force describes the normal interaction force.

Furthermore, the other aim of this research is to suggest the closed-form relation for post-collision angular and linear velocities in which the possibility of three regimes of impact, pure sliding, sliding with rolling, and pure rolling, are considered. This investigation intends to propose the procedure which can determine the condition of pure sliding, sliding with rolling or sticking, and rolling or sticking at the beginning of contact. In this paper, collision of two balls in three dimensions with regard to energy loss and friction is studied.

Worldmodel collision xsi modtools