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Title of Article

MODELING SECOND HARMONIC GENERATION IN THE SPECTRUM OF TORSIONAL WAVES PROPAGATING IN NONLINEAR ELASTIC RODS


Issue
6
Date
2011

Article type
scientific article
UDC
534.1
Pages
203-204
Keywords
torsional wave, spectrum, nonlinearity, rod


Authors
Serov Andrey Vyacheslavovich
Nizhegorodskiy filial Instituta mashinovedeniya im. A.A. Blagonravova RAN


Abstract
We have revealed that warping may occur due to the emergence in the spectrum of the torsional wave of an elastic double frequency (second harmonic) "forbidden" by the equations of nonlinear theory. The dependence of the second harmonic amplitude on the wavelength has been determined: in the longwave range it can reach half the amplitude of the fundamental wave, whereas in the shortwave range - only its quarter.

File (in Russian)