 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 46, Issue 5 / 2011 | Next article >> |
| R.V. Dyagel and V.V. Lapshin, "On a Nonlinear Viscoelastic Model of Hunt-Crossley Impact," Mech. Solids. 46 (5), 798-806 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
798-806 |
| DOI |
10.3103/S0025654411050141 |
| Title |
On a Nonlinear Viscoelastic Model of Hunt-Crossley Impact |
| Author(s) |
R.V. Dyagel (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia, degrom@aknet.ru)
V.V. Lapshin (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia) |
| Abstract |
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. |
| Keywords |
impact, impact model, coefficient of restitution, loss of energy, deformation |
| References |
| 1. | W. Goldsmith,
Impact: The Theory and Physical Behaviour of Colliding Solids
(Edward Arnold Pub. Ltd., London, 1960; Stroiizdat, Moscow, 1965). |
| 2. | Ya. G. Panovko,
Introduction to the Theory of Mechanical Impact
(Nauka, Moscow, 1977)
[in Russian]. |
| 3. | A. P. Ivanov,
Dynamics of Systems with Mechanical Collisions
(Mezhdunarodnaya Programma Obrazovaniya, Moscow, 1997)
[in Russian]. |
| 4. | H. Herts,
"Über die Berühring fester elastischer Körper,"
J. Reine und Angewandte Math.
92, 156-171 (1882). |
| 5. | K. H. Hunt and F. R. E. Crossley,
"Coefficient of Restitution Interpreted as Damping in Vibroimpact,"
Trans. ASME. J. Appl. Mech.
42 (2), 440-445 (1975). |
| 6. | R. M. Corless, G. H. Gonnet, D. E. G. Hare, et al.,
"On the Lambert W Function,"
Adv. Comput. Math.
5, 329-359 (1996). |
|
| Received |
20 October 2008 |
| Link to Fulltext |
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