On a nonlinear viscoelastic model of Hunt-Crossley impact

We consider a nonlinear viscoelastic model of the impact of a body on a stationary Hunt-Crossley obstacle. We obtain the first integral of the equation of motion and determine the coefficient of restitution, the kinetic energy lost at the impact, and their dependence on the impact velocity. We find...

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Bibliographic Details
Published in:Mechanics of solids 2011-10, Vol.46 (5), p.798-806
Main Authors: Dyagel, R. V., Lapshin, V. V.
Format: Article
Language:English
Subjects:
Classical Mechanics
Physics
Physics and Astronomy
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Summary:We consider a nonlinear viscoelastic model of the impact of a body on a stationary Hunt-Crossley obstacle. We obtain the first integral of the equation of motion and determine the coefficient of restitution, the kinetic energy lost at the impact, and their dependence on the impact velocity. We find the solution of the equation of motion of the body in terms of integrals by using the Lambert W -function and present the results of mathematical modeling.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654411050141