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

  • Nonlinear Acoustics
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Abstract

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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Authors and Affiliations

  1. Radiophysical Faculty, Lobachevsky State University, Nizhni Novgorod, Russia

    S. P. Nikitenkova

  2. Applied Physics Institute, Russian Academy of Sciences, Nizhni Novgorod, Russia

    E. N. Pelinovskii

Authors
  1. S. P. Nikitenkova
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  2. E. N. Pelinovskii
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Corresponding author

Correspondence to S. P. Nikitenkova.

Additional information

Original Russian Text © S.P. Nikitenkova, E.N. Pelinovskii, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 3, pp. 240–242.

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Nikitenkova, S.P., Pelinovskii, E.N. Analysis of the Rudenko-Solodov equation in the theory of highly nonlinear shear vibrations. Acoust. Phys. 60, 258–260 (2014). https://doi.org/10.1134/S1063771014030142

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  • DOI: https://doi.org/10.1134/S1063771014030142

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