Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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Print ISSN 0025-6544
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IssuesArchive of Issues2015-1pp.33-43

Archive of Issues

Total articles in the database: 9198
In Russian (. . ): 6504
In English (Mech. Solids): 2694

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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,
S.P. Yakovlev (Ustinov Baltic State Technical University "Voenmekh," ul. 1-ya Krasnoarmeyskaya 1, St. Petersburg, 190005 Russia,
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
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Received 12 March 2013
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