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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 3, Pages 297–307
(Mi nd444)
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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, Ul’yanova 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.
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
Linking options:
https://www.mathnet.ru/eng/nd444 https://www.mathnet.ru/eng/nd/v10/i3/p297
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Abstract page: | 309 | Full-text PDF : | 81 | References: | 63 |
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