 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| G.T. Aldoshin and S.P. Yakovlev, "Analytic Model of Vibrations of a Carbon Dioxide Molecule. Fermi Resonance," Mech. Solids. 50 (1), 33-43 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
1 |
Pages |
33-43 |
| DOI |
10.3103/S0025654415010045 |
| Title |
Analytic Model of Vibrations of a Carbon Dioxide Molecule. Fermi Resonance |
| Author(s) |
G.T. Aldoshin (Ustinov Baltic State Technical University "Voenmekh," ul. 1-ya Krasnoarmeyskaya 1, St. Petersburg, 190005 Russia, kaf_b3@bstu.spb.su)
S.P. Yakovlev (Ustinov Baltic State Technical University "Voenmekh," ul. 1-ya Krasnoarmeyskaya 1, St. Petersburg, 190005 Russia, yakovlev_sp@mail.ru) |
| Abstract |
We use the invariant normalization method to study nonlinear autonomous vibrations of a CO2 molecule near its stable configuration. If the frequencies of symmetric and deformation vibrations are related as 2:1, then a third-order resonance occurs in the molecule. The simulation discovered the following two nonlinear effects: the energy transfer between modes of longitudinal and transverse vibration modes which participate in the resonance and the frequency splitting in the molecule spectrum; namely, instead of one line of symmetric vibration, there is a group of four closely located lines. These effects are known as the Fermi resonance phenomenon. |
| Keywords |
carbon dioxide molecule, nonlinear vibrations, Fermi resonance, invariant normalization |
| References |
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|
| Received |
12 March 2013 |
| Link to Fulltext |
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