 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| M. A. Chuev, "Programmed motions of a mechanical system," Mech. Solids. 37 (3), 28-35 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
3 |
Pages |
28-35 |
| Title |
Programmed motions of a mechanical system |
| Author(s) |
M. A. Chuev (Kaluga) |
| Abstract |
Differential and integral variational principles, as well
as all forms of equations of motion are obtained
for a mechanical system subjected to a program specified
by differential equations of any (finite) order. The equations
of the program may be either integrable or nonintegrable. |
| References |
| 1. | E. Delassus, Lecons sur la Dynamique de Systems Materielle,
Hermann, Paris, 1913. |
| 2. | M. H. Béghin, Étude Théorique des Compas Gyrostatiques
Anschütz et Sperry, Imprimerie Nationale, Paris, 1921. |
| 3. | M. A. Chuev, "Some identities utilized in nonholonomic
mechanics," in 7th Science-and-technology Conference Devoted to
the 112th Birthday of V. I. Lenin [in Russian], pp. 33-34, Kaluga, 1982. |
| 4. | M. A. Chuev, "To the analytical theory of control of a spacecraft,"
in Proc. 10th Tsiolkovskii Readings. Section: Mechanics of Space Flight
[in Russian], pp. 41-49, Moscow, 1976. |
| 5. | Ya. L. Geronimus and M. M. Perel'muter, "On some methods for determining
an optimal law of motion treated as a control action,"
Izv. Vuzov. Mashinostroenie,
No. 6, pp. 16-24, 1966. |
| 6. | M. A. Chuev, To the issue of the analytical method of synthesis
of a mechanism,"
Izv. Vuzov. Mashinostroenie,
No. 8, pp. 165-167, 1974. |
| 7. | N. N. Polyakhov, S. A. Zegzhda, and M. P. Yushkov,
"A generalization of the Gauss principle to the case of nonholonomic
higher-order systems," Doklady AN SSSR, Vol. 183, No. 6, pp. 1328-1330,
1983. |
| 8. | M. A. Chuev, "Method of incomplete integral in mechanics
of nonholonomic systems," in V. V. Dobronravov, Fundamentals
of Analytical Mechanics [in Russian], pp. 129-139, Vysshaya Shkola,
Moscow, 1986. |
| 9. | V. M. Savchin, Formation of the Equations of Motion
in the Lagrange-Ostrogradskii Form [in Russian], No. 326-84, VINITI,
Moscow, 1984. |
| 10. | M. A. Chuev, "On one form of the equations of motion
of a mechanical system,"
in 6th Science-and-technology Conference Devoted to
the 110th Birthday of V. I. Lenin [in Russian], pp. 45-47, Kaluga, 1980. |
| 11. | Yu. N. Maslov, "On nonholonomic systems with nonlinear
constraints," in Transactions of Tashkent Lenin State University [in
Russian], No. 242, pp. 37-47, 1964. |
| 12. | M. A. Chuev, "To the analytical theory of control of motion
of a spacecraft. Volume I,"
in Proc. 9th Tsiolkovskii Readings. Section: Mechanics of Space Flight,
pp. 67-80, Moscow, 1975. |
| 13. | M. V. Ostrogradskii, "A memoir on differential equations
related to the isoperimetric problem,"
in M. V. Ostrogradskii, Complete Works.Volume 2 [in Russian], pp. 139-233, pp. 139-233,
Izd-vo AN UkrSSR, Kiev, 1961. |
| 14. | Yu. M. Loenko, Some Issues of Control of Motion
of Mechanical Systems. Dissertation Cand. Sc. (Physics and Mathematics),
Lumumba Friendship-of-Peoples University, Moscow, 1976. |
| 15. | V. Ph. Zhuravlev, "On the model of dry friction in the problem
of rolling of rigid bodies," PMM [Applied Mathematics and Mechanics],
Vol. 62, No. 5, pp.762-767, 1988. |
|
| Received |
20 April 2000 |
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