Features of wave generation by a source moving along a one-dimensional flexible guide lying on an elastic-inertial foundation
- Authors: Erofeev V.I.1,2, Kolesov D.A.1, Lisenkova E.E.3
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Affiliations:
- Institute of Machinery Manufacturing Problems
- Nizhny Novgorod State University
- Nizhny Novgorod Institute of Management
- Issue: Vol 62, No 6 (2016)
- Pages: 643-650
- Section: Classical Problems of Linear Acoustics and Wave Theory
- URL: https://journal-vniispk.ru/1063-7710/article/view/185897
- DOI: https://doi.org/10.1134/S1063771016060051
- ID: 185897
Cite item
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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