 | | 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. Markeev, S. V. Medvedev, and D. A. Sukhoruchkin, "On the stability of a particle suspended on an elastic thread," Mech. Solids. 36 (4), 12-21 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
4 |
Pages |
12-21 |
| Title |
On the stability of a particle suspended on an elastic thread |
| Author(s) |
A. P. Markeev (Moscow)
S. V. Medvedev (Moscow)
D. A. Sukhoruchkin (Moscow) |
| Abstract |
The motion of a particle suspended on an elastic thread is analyzed.
The motion occurs in the uniform gravitational field. The thread is assumed
to be absolutely flexible and elastically extensible. The problem of
the orbital stability of the vertical periodic vibration of the particle
with an arbitrary amplitude is solved. |
| References |
| 1. | A. P. Markeev, "On the vibration of a particle suspended on an
ideal thread," PMM [Applied Mathematics and Mechanics], Vol. 60, No. 2,
pp. 240-249, 1996. |
| 2. | A. P. Markeev and T. N. Chekhovskaya, "On oscillations of
an elastic pendulum," Izv. AN. MTT [Mechanics of Solids],
No. 2, pp. 18-26, 1998. |
| 3. | A. P. Markeev, Theoretical Mechanics [in Russian], Nauka,
Moscow, 1990. |
| 4. | A. Poincaré, Selected Works. Volume 2.
New Methods of Celestial Mechanics [Russian Translation],
Nauka, Moscow, 1972. |
| 5. | A. P. Markeev, "Area-preserving mappings and their
application in the dynamics of systems with collisions,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 37-54, 1996. |
|
| Received |
29 June 1999 |
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