Mechanics of Solids (about journal) Mechanics of Solids
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IssuesArchive of Issues2006-4pp.87-91

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A. V. Fomichev, "On circular oscillations in a system with threefold resonance," Mech. Solids. 41 (4), 87-91 (2006)
Year 2006 Volume 41 Number 4 Pages 87-91
Title On circular oscillations in a system with threefold resonance
Author(s) A. V. Fomichev (Moscow)
Abstract We discuss the possibility of using an isotropic spatial oscillator as a two-degree-of-freedom gyros. We propose several algorithms for obtaining information about the orientation of the object bearing such a gyro and a method for stabilizing an oscillation shape that is unstable without stabilization. We compare the properties of systems performing circular and rectilinear [1] oscillations and find several significant differences, which appear, for example, in the problem of stabilizing the shape and in various results on the influence of same perturbations on rectilinear and circular oscillations.
References
1.  V. Ph. Zhuravlev, "Control of the shape of oscillations in resonance systems," PMM [Applied Mathematics and Mechanics], Vol. 56, No. 5, pp. 827-836, 1992.
2.  V. Ph. Zhuravlev, "Strapdown inertial system of minimal dimension (Spatial oscillator-pickup of total inertial information)," Izv. RAN. MTT [Mechanics of Solids], No. 5, pp. 5-10, 2005.
3.  P. Leger, "Quapason - a new low-cost vibrating gyroscope," 3rd Intern. Conf. on Integrated Navigation Systems, Vol. 1, St.Petersburg, pp. 143-149, 1996.
4.  P. Olver, Applications of Lie Groups to Differential Equations [Russian translation], Mir, Moscow, 1989.
5.  R. Horn and C. Johnson, Matrix Analysis [Russian translation], Mir, Moscow, 1989.
Received 28 March 2005
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