Analysis of wave propagation in a discrete chain of bilinear oscillators

Kuznetsova, Maria S.; Pasternak, Elena; Dyskin, Arcady V.

doi:https://doi.org/10.5194/npg-24-455-2017

Articles | Volume 24, issue 3

https://doi.org/10.5194/npg-24-455-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue:

Waves in media with pre-existing or emerging inhomogeneities...

https://doi.org/10.5194/npg-24-455-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 24, issue 3

Research article

|

10 Aug 2017

Research article |

| 10 Aug 2017

Analysis of wave propagation in a discrete chain of bilinear oscillators

Maria S. Kuznetsova, Elena Pasternak, and Arcady V. Dyskin

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Final revised paper (published on 10 Aug 2017)
Preprint (discussion started on 01 Feb 2017)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Review', Anonymous Referee #1, 14 Feb 2017
- AC1: 'Answers on the review for NPG-2016-80 by M. Kuznetsova, E. Pasternak and A. Dyskin, “Analysis of Wave Propagation in a Discrete Chain of Bilinear Oscillators”', Maria Kuznetsova, 11 May 2017
RC2: 'Review of NPG-2016-80', Anonymous Referee #2, 17 Feb 2017
- AC2: 'Answers on the review for NPG-2016-80 by M. Kuznetsova, E. Pasternak and A. Dyskin, “Analysis of Wave Propagation in a Discrete Chain of Bilinear Oscillators”', Maria Kuznetsova, 11 May 2017

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Svenja Lange on behalf of the Authors (16 May 2017) Author's response

ED: Referee Nomination & Report Request started (18 May 2017) by Efim Pelinovsky

RR by Anonymous Referee #2 (19 May 2017)

RR by Anonymous Referee #3 (09 Jun 2017)

ED: Publish as is (09 Jun 2017) by Efim Pelinovsky

Short summary

The process of wave propagation in the discrete chain of bilinear oscillators subjected to several types of external harmonic excitation has been analysed. The phenomenon of sign inversion of the displacement is observed for tension–compression excitation. The solution for wave propagation in a continuous 1-D bimodular rod is developed and the numerical results are compared showing good agreement.