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Nelin. Dinam., 2014, Volume 10, Number 3, Pages 297–307 (Mi nd444)  

This article is cited in 1 scientific paper (total in 1 paper)

Amplitude-dependent internal friction and harmonics generation in solids with histeretic nonlinearity

Veniamin E. Nazarov, Sergey B. Kiyashko

Institute of Applied Physics, Russian Academy of Sciences, Ulyanova str. 46, Nighniy Novgorod, 603950, Russia

Abstract: Theoretical and numerical study of nonlinear wave processes in media with hysteretic nonlinearity are carried out. The phenomena of amplitude-dependent damping as well as change of the propagation velocity of harmonic wave and its second and third harmonic generation are considered. It was shown that the hysteretic media possess nonlinear dispersion that become apparent in the difference between the phase velocities of strong harmonic pump wave and its weak high harmonics. The dispersion leads to both spatial beatings and non-monotonically rate of growth of an amplitude of high harmonic at the increase in amplitude of basic frequency wave.

Keywords: hysteresis, amplitude-dependent internal friction, harmonics generation, nonlinear dispersion.

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Document Type: Article
UDC: 534.16
MSC: 39A21, 74J30
Received: 24.02.2014
Revised: 22.08.2014

Citation: Veniamin E. Nazarov, Sergey B. Kiyashko, “Amplitude-dependent internal friction and harmonics generation in solids with histeretic nonlinearity”, Nelin. Dinam., 10:3 (2014), 297–307

Citation in format AMSBIB
\Bibitem{NazKiy14}
\by Veniamin~E.~Nazarov, Sergey~B.~Kiyashko
\paper Amplitude-dependent internal friction and harmonics generation in solids with histeretic nonlinearity
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 3
\pages 297--307
\mathnet{http://mi.mathnet.ru/nd444}


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    This publication is cited in the following articles:
    1. V. E. Nazarov, S. B. Kiyashko, “Piloobraznye volny v gisterezisnykh sredakh s nasyscheniem nelineinykh poter”, Nelineinaya dinam., 11:4 (2015), 647–655  mathnet
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