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Coefficients of Restitution

Journal of Applied Mechanics, 1992
Simplified procedures for predicting post-collision motion in a mechanical system usually incorporate a “coefficient of restitution,” a ratio that must be estimated before the prediction can be completed. Two such ratios have been widely used for some time and a third has been introduced recently by W. J. Stronge.
Smith, Charles E., Liu, Pao-Pao
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Negative coefficient of normal restitution

Physical Review E, 2012
This paper shows that negative coefficients of normal restitution occur inevitably when the interaction force between colliding particles is finite. We derive an explicit criterion showing that for any set of material properties there is always a collision geometry leading to negative restitution coefficients.
Patric, Müller   +2 more
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Coefficient of restitution of aspherical particles

Physical Review E, 2014
We consider the motion of an aspherical inelastic particle of dumbbell type bouncing repeatedly on a horizontal flat surface. The coefficient of restitution of such a particle depends not only on material properties and impact velocity but also on the angular orientation at the instant of the collision whose variance is considerable, even for small ...
Aldo, Glielmo   +2 more
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Coefficient of Restitution of Coals

Nature, 1945
In a previous note1 it was mentioned that mechanical properties are involved in the Stopes' classification of the petrological constituents of coals2, and they are of interest in any general study of the physical properties of coals. Much of the previous work on this subject has been undertaken from the point of view of mechanical failures in mines, or
C. G. CANNON, W. H. GEORGE
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Coefficient of tangential restitution for viscoelastic spheres

The European Physical Journal E, 2008
The collision of frictional granular particles may be described by an interaction force whose normal component is that of viscoelastic spheres while the tangential part is described by the model by Cundall and Strack (Géotechnique 29, 47 (1979)) being the most popular tangential collision model in Molecular Dynamics simulations.
T, Schwager, V, Becker, T, Pöschel
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Listening to the coefficient of restitution - revisited

American Journal of Physics, 2001
We present a new method for measuring the coefficient of restitution between a steel ball and a flat, smooth surface, based on the recording of sound files with a PC. We demonstrate how a simple and straightforward analysis of the sound files yields the coefficient of restitution as a function of velocity.
Stensgaard, Ivan, Lægsgaard, Erik
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Coefficient Of Restitution

2004
Abstract This chapter derives the coefficient of restitution from the interaction forces. It shows that the coefficient is not a material constant but rather depends on impact velocity. An analytic expression for the coefficient of restitution of viscoelastic spheres is derived.
Nikolai V. Brilliantov   +1 more
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Coefficients of restitution for a collision

Physics Education, 2021
Abstract The coefficient of restitution (COR) for a collision is usually a number between 0 and 1 depending on whether the collision is completely inelastic, or perfectly elastic or something in between. That is the usual situation for colliding spheres or a ball dropped on a horizontal surface. A different situation arises when a bat
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Simulation Modelling of Coefficient of Restitution [PDF]

open access: possible, 2022
This article discusses types of mills, used to reduce the size of grinding materials. An analysis of methods for determining the restitution coefficient was made, after that a method for determining the restitution coefficient was chosen. Input parameters have been experimentally determined, enabling proper modeling and simulation.
Stoimenov, Nikolay   +3 more
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Stochastic behavior of the coefficient of normal restitution

Physical Review E, 2014
We consider the collision of a rough sphere with a plane by detailed analysis of the collision geometry. Using stochastic methods, the effective coefficient of restitution may be described as a fluctuating quantity whose probability density follows an asymmetric Laplace distribution. This result agrees with recent experiments by Montaine et al.
Nina, Gunkelmann   +2 more
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