Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки

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Title of Article

CALCULATION OF THE DISPERSION CHARACTERISTICS OF A STRING RESTING ON AN ELASTIC-INERTIAL FOUNDATION

Issue	4
Date	2013

Section

MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type	scientific article	UDC	534.1
Pages	199-203	Keywords	string, elastic-inertial base, transverse wave, dispersion, moving source.

Authors

Erofeev Vladimir IvanovichNizhegorodskiy filial Instituta problem mashinostroeniya im. A.A. Blagonravova RAN; Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo
Kolesov Daniil AleksandrovichNizhegorodskiy filial Instituta problem mashinostroeniya im. A.A. Blagonravova RAN
Lisenkova Elena EvgenevnaNizhegorodskiy institut upravleniya

Abstract

The propagation of transverse waves in a string resting on an elastic-inertial foundation is considered. The influence of the foundation parameters on the wave dispersion characteristics is analyzed (in particular, on the wave number dependences of phase and group velocities). The wave patterns generated by a zero-frequency source uniformly moving along the string are studied.

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