Coefficient of restitution for viscoelastic disks
Thomas Schwager
TL;DR
This paper derives an analytical expression for the coefficient of restitution in viscoelastic disk collisions, showing its dependence on impact velocity and providing insights into energy dissipation during collisions.
Contribution
It introduces an analytical solution for the coefficient of restitution for viscoelastic disks based on a known elastic law and damping model, highlighting velocity dependence.
Findings
Coefficient of restitution approaches 1 at low velocities.
Coefficient of restitution decreases with increasing impact velocity.
Analytical solution clarifies energy dissipation in viscoelastic collisions.
Abstract
The dissipative collision of two identical viscoelastic disks is studied. By using a known law for the elastic part of the interaction force and the viscoelastic damping model an analytical solution for the coefficient of restitution shall be given. The coefficient of restitution depends significantly on the impact velocity. It approaches one for small velocities and decreases for increasing velocities.
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