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Nonlinear torsional waves in a rod

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Abstract

Elastic nonlinear torsional waves in a rod were studied in the second approximation. It was shown that the nonlinear correction to the classical linear solution is a combination of longitudinal standing, longitudinal traveling, and transverse traveling waves. The solution describing the longitudinal standing wave is a quadratic polynomial of Bessel functions. The description of longitudinal traveling and transverse traveling waves includes quadratures of Bessel function polynomials.

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    M. A. Shermeneva

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  1. M. A. Shermeneva
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Additional information

Original Russian Text © M.A. Shermeneva, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 7, pp. 21–29.

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Shermeneva, M.A. Nonlinear torsional waves in a rod. Bull. Lebedev Phys. Inst. 36, 199–204 (2009). https://doi.org/10.3103/S1068335609070033

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  • DOI: https://doi.org/10.3103/S1068335609070033

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