Journal of Sound and Vibration, volume 506, pages 116156

Propagation of waves in nonlocal-periodic systems

Saidi A ¹

Carcaterra A. ¹

Ledet L. S. ²

Hvatov Alexander ³

Mezzani F. ¹

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Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, 00184 Rome, Italy |

Department of Mechanical and Manufacturing Engineering, Aalborg University, Fibigerstrade 16, 9220, Aalborg, Denmark |

National Centre for Cognitive Research, ITMO University, 197101, 49 Kronverksky pr., St Petersburg, Russia |

Publication type: Journal Article

Publication date: 2021-08-01

Elsevier

Journal: Journal of Sound and Vibration

Quartile SCImago

Quartile WOS

Impact factor: 4.7

ISSN: 0022460X, 10958568

DOI: 10.1016/j.jsv.2021.116156

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Condensed Matter Physics

Mechanical Engineering

Mechanics of Materials

Acoustics and Ultrasonics

Abstract

This paper is concerned with emergence of novel effects in wave propagation in one-dimensional waveguides, when integrated with periodic nonlocalities. The nonlocalities are introduced by a connectivity superimposed to a conventional waveguide and depicted as a graph with trees and leaves, each with its own periodicity. Merging nonlocality and periodicity notions induces a distinction between homogenous and non-homogenous periodic configurations. Specifically, various unconventional phenomena linked to the presence of nonlocalities result in disruption of the energy transmission in such systems, disclosing new opportunities for vibration isolation applications. To demonstrate these effects, simple models of propagation of plane extension/compression waves in a uniform infinite rod equipped with co-axial spring-like elements is used. The homogenous case is analysed by a direct double, space and time, Fourier transform, leading to discussion of unusual dispersion effects, including vanishing and negative group velocity. In the non-homogeneous case, the canonical Floquet theory is used to identify stopbands and control their positions in the frequency domain. The results are compared with eigenfrequency analysis of unit periodicity cells and finite structures. Next, the forcing problem is considered and the insertion losses in a semi-infinite rod with nonlocal spring effects are computed to corroborate predictions of Floquet theory, providing physical explanations of the obtained results. Finally, possibilities to employ the non-local interaction forces in an active control format to generate stopbands at arbitrarily low frequencies are highlighted.

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	1
Journal of Applied Physics	Journal of Applied Physics, 1, 33.33% Journal of Applied Physics 1 publication, 33.33%
Physica Scripta	Physica Scripta, 1, 33.33% Physica Scripta 1 publication, 33.33%
Lecture Notes in Mechanical Engineering	Lecture Notes in Mechanical Engineering, 1, 33.33% Lecture Notes in Mechanical Engineering 1 publication, 33.33%
	1

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	1
American Institute of Physics (AIP)	American Institute of Physics (AIP), 1, 33.33% American Institute of Physics (AIP) 1 publication, 33.33%
IOP Publishing	IOP Publishing, 1, 33.33% IOP Publishing 1 publication, 33.33%
Springer Nature	Springer Nature, 1, 33.33% Springer Nature 1 publication, 33.33%
	1

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Saidi A. et al. Propagation of waves in nonlocal-periodic systems // Journal of Sound and Vibration. 2021. Vol. 506. p. 116156.

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Saidi A., Carcaterra A., Ledet L. S., Hvatov A., Mezzani F. Propagation of waves in nonlocal-periodic systems // Journal of Sound and Vibration. 2021. Vol. 506. p. 116156.

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RIS Copy

TY - JOUR

DO - 10.1016/j.jsv.2021.116156

UR - https://doi.org/10.1016%2Fj.jsv.2021.116156

TI - Propagation of waves in nonlocal-periodic systems

T2 - Journal of Sound and Vibration

AU - Saidi, A

AU - Carcaterra, A.

AU - Ledet, L. S.

AU - Hvatov, Alexander

AU - Mezzani, F.

PY - 2021

DA - 2021/08/01 00:00:00

PB - Elsevier

SP - 116156

VL - 506

SN - 0022-460X

SN - 1095-8568

ER -

BibTex

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BibTex Copy

@article{2021_Saidi,

author = {A Saidi and A. Carcaterra and L. S. Ledet and Alexander Hvatov and F. Mezzani},

title = {Propagation of waves in nonlocal-periodic systems},

journal = {Journal of Sound and Vibration},

year = {2021},

volume = {506},

publisher = {Elsevier},

month = {aug},

url = {https://doi.org/10.1016%2Fj.jsv.2021.116156},

pages = {116156},

doi = {10.1016/j.jsv.2021.116156}

}

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Publisher

Elsevier

Journal

Journal of Sound and Vibration

Quartile SCImago

Quartile WOS

Impact factor

4.7

ISSN

0022460X (Print)
10958568 (Electronic)

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