 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 37, Issue 6 / 2002 | Next article >> |
| Yu. G. Markov and I. V. Skorobogatykh, "The determination of the vibration frequency of a nonhomogeneous rotating axisymmetric body," Mech. Solids. 37 (6), 70-76 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
6 |
Pages |
70-76 |
| Title |
The determination of the vibration frequency of a nonhomogeneous rotating axisymmetric body |
| Author(s) |
Yu. G. Markov (Moscow)
I. V. Skorobogatykh (Moscow) |
| Abstract |
The influence of the deviations from an ideal scheme due to
nonhomogeneous density of the material on the dynamics
of an axisymmetric elastic body is studied. The distribution
of the density is assumed to depend on the angle. The case
of variable density is important for practice, since
the density distribution can be controlled. We consider three
cases. In the first case, the terms with the angular velocity
are much greater than the terms accounting for the nonhomogeneity.
The second case is the opposite of the first case. In the third
case, all terms have the same order of magnitude. It is shown
that nonhomogeneity of the material gives rise to frequency
splitting, i.e., two close different frequencies appear
instead of two equal frequencies. This effect leads
to beating-type phenomena. It is established that a change
in the density with respect to a fixed harmonic affects
only certain vibration modes. Similar issues are considered in [2]. |
| References |
| 1. | V. Ph. Zhuravlev and D. M. Klimov, Hemispherical Resonator Gyro
[in Russian], Nauka, Moscow, 1985. |
| 2. | Yu. G. Markov and I. V. Skorobogatykh,
"On vibrations of a rotating viscoelastic axisymmetric body
under the action of a surface load,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 72-80, 1995. |
| 3. | S. P. Timoshenko, D. H. Young, and W. Weaver,
Vibration Problems in Engineering [Russian translation],
Mashinostroenie, Moscow, 1985. |
| 4. | V. Ph. Zhuravlev and D. M. Klimov, Applied Methods
in the Theory of Oscillations [in Russian], Nauka, Moscow, 1988. |
|
| Received |
08 May 2001 |
| << Previous article | Volume 37, Issue 6 / 2002 | Next article >> |
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