, volume 347 , pages 200-217

Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides

Alexander Hvatov ¹

L. S. Ledet ²

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State Marine Technical University of St. Petersburg |

Department of Mechanical and Manufacturing Engineering, Aalborg University, Fibigerstrade 16, DK9220, Aalborg, Denmark |

Publication type: Journal Article

Publication date: 2015-07-01

Elsevier

Journal of Sound and Vibration

scimago Q1

wos Q1

SJR: 1.534

CiteScore: 9.6

Impact factor: 4.9

ISSN: 0022460X, 10958568

DOI: 10.1016/j.jsv.2015.03.003

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Condensed Matter Physics

Mechanical Engineering

Mechanics of Materials

Acoustics and Ultrasonics

Abstract

The existence of frequency stop-bands, in which transmission of the vibro-acoustic energy is impossible, suggests that the periodic structures may be used for vibro-isolation. In any technical application, however, only a finite segment of such a structure can be used. This paper is concerned with comparison of the eigenfrequency spectra of finite periodic structures with location of stop-bands for their infinite counterparts. A hierarchy of four mathematical models is considered. In each case, special attention is paid to eigenfrequencies and eigenmodes of a single periodicity cell with appropriate boundary conditions. The influence of the amount of periodicity cells in a finite compound structure on its eigenfrequency spectrum is analyzed. Several features common for the considered models are found and discussed in the context of the existing knowledge on the subject.

Found

9 citations

Hvatov Alexander

🥼 🤝

PhD in Physics and Mathematics

49 publications, 234 citations, 25 reviews

h-index: 8

ITMO University

Research interests

Artificial intelligence (AI)

Differential equations

Equation discovery

Evolutionary optimization

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Hvatov A., Ledet L. S. Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides // Journal of Sound and Vibration. 2015. Vol. 347. pp. 200-217.

GOST all authors (up to 50) Copy

Hvatov A., Ledet L. S. Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides // Journal of Sound and Vibration. 2015. Vol. 347. pp. 200-217.

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RIS Copy

TY - JOUR

DO - 10.1016/j.jsv.2015.03.003

UR - https://doi.org/10.1016/j.jsv.2015.03.003

TI - Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides

T2 - Journal of Sound and Vibration

AU - Hvatov, Alexander

AU - Ledet, L. S.

PY - 2015

DA - 2015/07/01

PB - Elsevier

SP - 200-217

VL - 347

SN - 0022-460X

SN - 1095-8568

ER -

BibTex

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BibTex (up to 50 authors) Copy

@article{2015_Hvatov,

author = {Alexander Hvatov and L. S. Ledet},

title = {Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides},

journal = {Journal of Sound and Vibration},

year = {2015},

volume = {347},

publisher = {Elsevier},

month = {jul},

url = {https://doi.org/10.1016/j.jsv.2015.03.003},

pages = {200--217},

doi = {10.1016/j.jsv.2015.03.003}

}

Publisher

Elsevier

Journal

Journal of Sound and Vibration

scimago Q1

wos Q1

SJR

1.534

CiteScore

9.6

Impact factor

4.9

ISSN

0022460X (Print)

10958568 (Electronic)

Profiles

Alexander A Hvatov