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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2001-2pp.163-167

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A. I. Polunin, "Computation of eigenfrequencies of a supported rotating ring with extensible middle line," Mech. Solids. 36 (2), 163-167 (2001)
Year 2001 Volume 36 Number 2 Pages 163-167
Title Computation of eigenfrequencies of a supported rotating ring with extensible middle line
Author(s) A. I. Polunin (Belgorod)
Abstract In order to calculate the eigenfrequencies of a doubly-supported rotating ring, we derive relations that take into account the extension of its middle line. The results are obtained on the basis of Lagrange's equations of the second kind with indefinite coefficients. The frequencies calculated by this method are compared with those obtained for a ring with an inextensible middle line and are also compared with experimental data.
References
1.  V. Ph. Zhuravlev and D. M. Klimov, Hemispherical Resonator Gyro [in Russian], Nauka, Moscow, 1985.
2.  V. Ph. Zhuravlev and D. M. Klimov, Applied Methods in Oscillation Theory [in Russian], Nauka, Moscow, 1988.
3.  A. I. Polunin, "Mathematical modeling of the dynamics of an elastic ring rotating on two supports", Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 153-158, 1999.
Received 05 February 1998
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