For citation:
Erofeev V. I., Kluyeva N. V., Semerikova N. P. Nonlinear - elastic waves in Mindlin - Herrmann rod. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 4, pp. 35-47. DOI: 10.18500/0869-6632-1999-7-4-35-47
Nonlinear - elastic waves in Mindlin - Herrmann rod
The nonlinear mathematical model describing longitudinal oscillations of the rod taking into account shift strains and transversal movements of particles of the middle line (nonhnear generalization of the model of Mindlin — Herrmann) is considered. The singularities of distribution of nonlinear stationary waves of the strain periodic waves and solitons are studied. The associations between basic parameters of such waves (amplitude, velocity of distribution, wavelength, and coefficient of nonlinear distortions of the waveform) are obtained. Is shown, that alongside with the classical behavior solitons (the wave of the greater amplitude has smaller breadth and propagates with the greater velocity) their anomalous behavior can be observed (amplitude of the wave decreases with growth of the velocity).
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