Features of wave generation by a source moving along a one-dimensional flexible guide lying on an elastic-inertial foundation


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Abstract

A self-consistent dynamic problem is posed for a system including a one-dimensional flexible guide (a string), elastic-inertial foundation (an array of oscillators), and moving oscillating load. The effect of the foundation parameters on the dispersion characteristics (frequency, phase velocity, and group velocity as functions of the wavenumber) of transverse waves propagating along the string has been analyzed. It has been shown that taking into account the foundation inertia leads to the presence of two critical (cutoff) frequencies. Regularities of wave generation by a source moving along the string have been analyzed.

About the authors

V. I. Erofeev

Institute of Machinery Manufacturing Problems; Nizhny Novgorod State University

Author for correspondence.
Email: erf04@mts-nn.ru
Russian Federation, ul. Ul’yanova 46, Nizhny Novgorod, 603950; pr. Gagarina 23, Nizhny Novgorod, 603950

D. A. Kolesov

Institute of Machinery Manufacturing Problems

Email: erf04@mts-nn.ru
Russian Federation, ul. Ul’yanova 46, Nizhny Novgorod, 603950

E. E. Lisenkova

Nizhny Novgorod Institute of Management

Email: erf04@mts-nn.ru
Russian Federation, pr. Gagarina 46, Nizhny Novgorod, 603950

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