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.
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Original Russian Text © G.T. Aldoshin, S.P. Yakovlev, 2015, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, No. 1, pp. 42–53.
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Aldoshin, G.T., Yakovlev, S.P. Analytic model of vibrations of a carbon dioxide molecule. Fermi resonance. Mech. Solids 50, 33–43 (2015). https://doi.org/10.3103/S0025654415010045
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DOI: https://doi.org/10.3103/S0025654415010045