 | | 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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| A. P. Ivanov and V. I. Pereverzev, "On the periodic motions of a rigid body elastically colliding with parallel walls," Mech. Solids. 36 (2), 16-19 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
16-19 |
| Title |
On the periodic motions of a rigid body elastically colliding with parallel walls |
| Author(s) |
A. P. Ivanov (Moscow)
V. I. Pereverzev (Moscow) |
| Abstract |
We consider a rigid body freely moving in a clearance between
two parallel smooth walls. Its possible collisions with the walls are
assumed to be perfectly elastic. This system was considered in connection
with the "Fermi acceleration" problem for the case where the walls
were vibrating and the body was spherically symmetric [1]. Generally, it
can be a basic model for the verification of various hypotheses in the
kinetic theory of gases. In [2], stability conditions were found for the
plane translational motion of a body between fixed walls. In [3, 4], the
stability of periodic jumps of a rotating heavy rigid body on a horizontal
base. The present paper is devoted to the spatial periodic motions of
axisymmetric bodies between fixed walls. |
| References |
| 1. | A. Lichtenberg and M. Liberman, Regular and Chaotic Dynamics
[Russian translation], Mir, Moscow, 1984. |
| 2. | A. A. Markeev, "On the stability of a plane periodic motion of
a rigid body between parallel walls," Izv. AN. MTT [Mechanics of
Solids], No. 1, pp. 22-24, 1995. |
| 3. | A. P. Markeev, "On the periodic motions of a heavy symmetric
rigid body colliding with a horizontal plane," PMM [Applied Mathematics
and Mechanics], Vol. 48, No. 3, pp. 363-369, 1984. |
| 4. | A. P. Ivanov, "On the periodic motions of a heavy rigid body
impacting a horizontal plane," Isv. AN SSSR. MTT [Mechanics of Solids],
No. 2, pp. 30-35, 1975. |
| 5. | P. Appell, Theoretical Mechanics [Russian translation], Vol. 2,
Fizmatgiz, Moscow, 1960. |
|
| Received |
29 December 1998 |
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