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

  • Classical Problems of Linear Acoustics and Wave Theory
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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.

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Authors and Affiliations

  1. Institute of Machinery Manufacturing Problems, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhny Novgorod, 603950, Russia

    V. I. Erofeev & D. A. Kolesov

  2. Nizhny Novgorod State University, pr. Gagarina 23, Nizhny Novgorod, 603950, Russia

    V. I. Erofeev

  3. Nizhny Novgorod Institute of Management, pr. Gagarina 46, Nizhny Novgorod, 603950, Russia

    E. E. Lisenkova

Authors
  1. V. I. Erofeev
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  2. D. A. Kolesov
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  3. E. E. Lisenkova
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Correspondence to V. I. Erofeev.

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Original Russian Text © V.I. Erofeev, D.A. Kolesov, E.E. Lisenkova, 2016, published in Akusticheskii Zhurnal, 2016, Vol. 62, No. 6, pp. 639–647.

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Erofeev, V.I., Kolesov, D.A. & Lisenkova, E.E. Features of wave generation by a source moving along a one-dimensional flexible guide lying on an elastic-inertial foundation. Acoust. Phys. 62, 643–650 (2016). https://doi.org/10.1134/S1063771016060051

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  • DOI: https://doi.org/10.1134/S1063771016060051

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