Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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V. N. Koshlyakov, "On the qualitative study of gyro systems of nonconservative structure," Mech. Solids. 41 (4), 5-11 (2006)
Year 2006 Volume 41 Number 4 Pages 5-11
Title On the qualitative study of gyro systems of nonconservative structure
Author(s) V. N. Koshlyakov (Kiev)
Abstract We develop the results obtained in [1-4]. In connection with some peculiarities that can arise when analyzing dynamical systems of nonconservative positional structure, we suggest a special method for studying such systems. This method is based on the comparison of the corresponding matrices. We also give an illustrative example.
References
1.  V. N. Koshlyakov, "On structure transformations of dynamical systems with gyroscopic forces," PMM [Applied Mathematics and Mechanics], Vol. 61, No. 5, pp. 774-780, 1997.
2.  V. N. Koshlyakov, "On structure transformations of nonconservative systems," PMM [Applied Mathematics and Mechanics], Vol. 64, No. 6, pp. 933-941, 2000.
3.  V. N. Koshlyakov and V. L. Makarov, "To the theory of gyro systems with nonconservative forces," PMM [Applied Mathematics and Mechanics], Vol. 65, No. 4, pp. 698-704, 2001.
4.  V. N. Koshlyakov, "On the passage to the precession theory equations in nonconservative gyro systems," Izv. RAN MTT [Mechanics of Solids], No. 4, pp. 43-51, 2003.
5.  D. R. Merkin, Gyro Systems [in Russian], Nauka, Moscow, 1974.
6.  Ya. N. Roitenberg, Gyros [in Russian], Nauka, Moscow, 1975.
7.  S. A. Agafonov, "On the asymptotic stability of nonconservative systems," Izv. AN SSSR MTT [Mechanics of Solids], No. 3, pp. 3-8, 1988.
Received 17 March 2005
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