Energy Streamlines and the Power Density Vector Accompanying Wave Excitation by a Piezoelectric Transducer in a Layered Phononic Crystal

Authors

  • Fomenko S.I. Kuban State University, Krasnodar, Российская Федерация
  • Golub M.V. Kuban State University, Krasnodar, Российская Федерация
  • Shpak A.N. Kuban State University, Krasnodar, Российская Федерация
  • Glinkova S.A. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-17-1-2-48-60

Abstract

The use of periodic composite structures has a great potential for improving sensors/actuators and self-adjusting optics, as well as for active vibration suppression and energy storage systems. At the same time, the employment of dielectric elastomers offers even greater possibilities since they provide tools for the active control of wave energy fluxes. The mathematical formulation of the problem considers more general state equations for piezoelectric bodies. Namely, the absence of symmetry in elastic and piezoelectric tensors is taken into account. The present study investigates the features of elastic wave excitation by a surface piezoelectric transducer (generally made of dielectric elastomer) in multi-layered periodic composites or so-called phononic crystals. A hybrid approach is used to solve the boundary value problem, which involves application of the spectral element method and the boundary integral equation method. Employing the energy streamlines and the power density vector, wave phenomena associated with the interaction of a piezoelectric transducer with a layered phononic crystal at frequencies belonging to four frequency ranges (band gaps, pass bands and the frequency ranges, in which only a quasi-transverse or quasi-longitudinal waves propagate without attenuation) are analyzed.

Keywords:

elastic waves, waveguide, dielectric elastomer, piezoelectric transducer, hybrid scheme, energy streamlines, Umov-Poynting vector

Acknowledgement

Работа выполнена при поддержке Российского фонда фундаментальных исследований и Администрации Краснодарского края (проект 19-41-230012).

Author Infos

Sergei I. Fomenko

канд. физ.-мат. наук, доцент кафедры прикладной математики Кубанского государственного университета

e-mail: sfom@yandex.ru

Mihail V. Golub

д-р физ.-мат. наук, ведущий научный сотрудник Института математики, механики и информатики Кубанского государственного университета

e-mail: m_golub@inbox.ru

Alisa N. Shpak

канд. физ.-мат. наук, младший научный сотрудник Института математики, механики и информатики Кубанского государственного университета

e-mail: alisashpak7@gmail.com

Sofia A. Glinkova

аспирант кафедры математических и компьютерных методов Кубанского государственного университета

e-mail: glinkvasfja@gmail.com

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Issue

2020. Vol. 17. No. 1. Part 2

Section

Mechanics

Pages

48-60

Submitted

2019-10-28

Published

2020-03-31

How to Cite

Fomenko S.I., Golub M.V., Shpak A.N., Glinkova S.A. Energy Streamlines and the Power Density Vector Accompanying Wave Excitation by a Piezoelectric Transducer in a Layered Phononic Crystal. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2020, vol. 17, no. 1, pp. 48-60. DOI: https://doi.org/10.31429/vestnik-17-1-2-48-60 (In Russian)

Copyright (c) 2020 Fomenko S.I., Golub M.V., Shpak A.N., Glinkova S.A.

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