Analysis of the Rudenko-Solodov equation in the theory of highly nonlinear shear vibrations

An analytic solution is found using the discrete model of highly nonlinear shear vibrations in the high-amplitude approximation, and its spectrum is determined. It is shown that, in the high-amplitude limit, the period of vibrations tends to a linear value, while the vibrations remain nonsinusoidal.

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Bibliographic Details
Published in:Acoustical physics 2014-05, Vol.60 (3), p.258-260
Main Authors: Nikitenkova, S. P., Pelinovskii, E. N.
Format: Article
Language:English
Subjects:
Acoustics
Approximation
Exact solutions
Mathematical analysis
Mathematical models
Nonlinear Acoustics
Nonlinearity
Physics
Physics and Astronomy
Shear
Vibration
Vibration analysis
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Description
Summary:An analytic solution is found using the discrete model of highly nonlinear shear vibrations in the high-amplitude approximation, and its spectrum is determined. It is shown that, in the high-amplitude limit, the period of vibrations tends to a linear value, while the vibrations remain nonsinusoidal.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771014030142