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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2009-2pp.165-168

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V. Ph. Zhuravlev, "Spectral properties of linear gyroscopic systems," Mech. Solids. 44 (2), 165-168 (2009)
Year 2009 Volume 44 Number 2 Pages 165-168
DOI 10.3103/S0025654409020010
Title Spectral properties of linear gyroscopic systems
Author(s) V. Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, zhurav@ipmnet.ru)
Abstract We study how the natural frequencies of a linear gyroscopic system behave under variations in the kinetic and potential energy matrices as well as in the gyroscopic force matrix.
References
1.  J. W. Strutt (Lord Rayleigh), The Theory of Sound, Vol. 1 (Macmillan, London, 1877; Izd-vo Inostr. Lit., Moscow, 1955).
2.  V. Ph. Zhuravlev, "Generalization of the Rayleigh Theorem to Gyroscopic Systems," Prikl. Mat. Mekh. 40(4), 606–610 (1976) [J. Appl. Math. Mech. (Engl. Transl.) 40 (4), 558–563 (1976)].
3.  K. Magnus, Kreisel. Theorie und Anwendungen (Springer, Berlin, 1971; Mir, Moscow, 1974).
Received 11 April 2007
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