Oblique Frictional Impact of a Sphere on an Elastic Half-Space: Numerically Exact Solution and Experimental Validation

Iakov Lyashenko; Emanuel Willert; Valentin Popov

doi:10.31181/smeor31202655

Authors

Iakov Lyashenko 1) Bundesanstalt für Materialforschung und -prüfung (BAM), Berlin, 12203, Germany; 2) Department of System Dynamics and Friction Physics, Institute of Mechanics, Technische Universität Berlin, 10623 Berlin, Germany; 3) Department of Theoretical and Engineering Mechanics, Samarkand State University, Samarkand, 140104, Uzbekistan Author https://orcid.org/0000-0001-7511-3163
Emanuel Willert Graduate School at Eberswalde University for Sustainable Development, Eberswalde 16225, Germany Author https://orcid.org/0000-0001-7535-7301
Valentin Popov 1) Department of System Dynamics and Friction Physics, Institute of Mechanics, Technische Universität Berlin, 10623 Berlin, Germany; 2) State Key Laboratory of Tribology in Advanced Equipment, Department of Mechanical Engineering, Tsinghua University, Beijing, China Author https://orcid.org/0000-0003-0506-3804

DOI:

https://doi.org/10.31181/smeor31202655

Keywords:

Dynamic contact, Friction, Tangential and normal contact forces, Oblique impact, Numerical simulations

Abstract

Numerical simulations of the dynamics of an elastic collision between a rigid sphere and an elastic half-space are carried out. We assume an Amontons-Coulomb frictional force with a fixed coefficient of friction between the contacting surfaces during the impact. As a result of the modeling, a dimensionless function describing tangential restitution is obtained. It depends only on a small set of governing dimensionless parameters and allows the determination of the sphere’s tangential and angular velocities after the collision. This function is used to calculate the tangential restitution coefficient (tangential velocity recovery rate) and the cyclic rotation frequency of a sphere for the parameters of a particular experiment involving the reflection of an aluminum-alloy particle from a glass plate. The obtained results agree with the experimental data with high accuracy, which confirms the adequacy of the proposed numerical model.

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