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Energy Exchange Between Nonlinear Waves in Elastic Waveguides and External Media

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Nonlinear Waves in Active Media

Part of the book series: Research Reports in Physics ((RESREPORTS))

Abstract

The initial-boundary value problem of the propagation of nonlinear longitudinal elastic waves in an initially strained rod is considered. The rod is assumed to interact with the surrounding elastic and viscous or active external medium. The analytical solutions are derived and briefly discussed.

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References

  1. Samsonov A.M Existence and amplification of solitary strain waves in non-linearly elastic waveguides. A.F.Ioffe Phys.Techn.Inst., Preprint No.1259, 1988, Leningrad, 23 p. (in Russian).

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  2. Kerr A.D. Elastic and viscoelastic foundation models. J.Appl.Mech., 1964, E31, 491–498.

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  3. Samsonov A.M. On existence of longitudinal strain solitons in an infinite nonlinearly elastic rod. Doklady AN SSSR, 1988, 299, 5, 1083–1086 (in Russian)

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  4. Ince E. Ordinary Differential Equation. N.Y., Dover, 1964, 526 p.

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© 1989 Springer-Verlag Berlin Heidelberg

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Samsonov, A.M., Sokurinskaya, E.V. (1989). Energy Exchange Between Nonlinear Waves in Elastic Waveguides and External Media. In: Engelbrecht, P.J. (eds) Nonlinear Waves in Active Media. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74789-2_13

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  • DOI: https://doi.org/10.1007/978-3-642-74789-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51190-8

  • Online ISBN: 978-3-642-74789-2

  • eBook Packages: Springer Book Archive

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