References
A. Stephenson, Met. Proc. Manchester Liter. Phil. Soc. 52(8), 1 (1908).
N. N. Bogolyubov, in Collected Works of Building Mechanics Institute of AN USSR, Issue 14, 9 (1950).
P. L. Kapitsa, Usp. Fiz. Nauk 44(1), 7 (1951).
T. G. Strizhak, Methods of Investigation of Dynamic Systems of the “Pendulum” Type (Nauka, Alma-Ata, 1981) [in Russian].
I. I. Blekhman, Vibration Mechanics (Fizmatlit, Moscow, 1994) [in Russian].
L. D. Akulenko, Prikl. Mat. Mekh. 58(3), 23 (1994).
B. S. Bardin and A. P. Markeev, Prikl. Mat. Mekh. 59(6), 922 (1995).
A. P. Markeev, Prikl. Mat. Mekh. 63(2), 213 (1999).
O. V. Kholostova, Dynamics of the Lagrangian Top with Immobile and Vibrating Suspension Points (MAI, Moscow, 2000) [in Russian].
O. V. Kholostova, in Collected Scientific and Methodical Articles. Theoretical Mechanics, Vol. 24, p. 157 (MGU, Moscow, 2003) [in Russian].
A. G. Petrov, Dokl. Akad. Nauk 405(1), 51 (2005).
V. I. Yudovich, Usp. Mekh. 4(3), 26 (2006).
N. N. Bogolyubov and Yu. A. Mitropol’skiĭ, Asymptotic Methods in Theory of Nonlinear Vibrations (Nauka-Fizmatlit, Moscow, 1974) [in Russian].
L. D. Landau and E. M. Lifshits, Theoretical Physics. Vol. 1. Mechanics (Nauka, Moscow, 1965) [in Russian].
A. V. Karapet’yan and V. V. Rumyantsev, Stability of Conservative and Dissipative Systems. Itogi Nauki Tekh., Ser.: Obshch. Mekh. (VINITI, Moscow, 1983) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.P. Markeev, 2009, published in Doklady Akademii Nauk, 2009, Vol. 427, No. 6, pp. 771–775.
Rights and permissions
About this article
Cite this article
Markeev, A.P. On the theory of motion of a rigid body with a vibrating suspension. Dokl. Phys. 54, 392–396 (2009). https://doi.org/10.1134/S1028335809080114
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335809080114