Abstract
In this paper, we report a piezoelectric phononic crystal plate featuring broadband wave attenuation. In the piezoelectric phononic crystal system, the transmitted elastic wave is attenuated owing to destructive interference by taking advantages of phase difference. The proposed concept is applied to a piezoelectric phononic crystal plate synthesized by functional dual-lane units that yields phase difference. Whereas, the piezoelectric unit-cells are connected negative capacitance shunt circuits individually. Our analysis shows that the coupled phononic crystal has a strong broadband low-frequency wave attenuation capability. The bandwidth of 10 dB wave attenuation is broadened by 34 times in the vicinity of 5 kHz comparing to that of a local resonance metamaterial under the same mechanical configuration. Moreover, the frequency range of wave attenuation of the proposed system can be online adjusted through the modification of the external shunt circuits.
References
1.
Liu
, Z.
, Zhang
, X.
, Mao
, Y.
, Zhu
, Y. Y.
, Yang
, Z.
, Chan
, C. T.
, and Sheng
, P.
, 2000
, “Locally Resonant Sonic Materials
,” Science
, 289
(5485
), pp. 1734
–1736
. 10.1126/science.289.5485.17342.
Fang
, N.
, Lee
, H.
, Sun
, C.
, and Zhang
, X.
, 2005
, “Sub-Diffraction-Limited Optical Imaging With a Silver Superlens
,” Science
, 308
(5721
), pp. 534
–537
. 10.1126/science.11087593.
Pendry
, J. B.
, and Li
, J.
, 2008
, “An Acoustic Metafluid: Realizing a Broadband Acoustic Cloak
,” New J. Phys.
, 10
(11
), p. 115032
. 10.1088/1367-2630/10/11/1150324.
Landy
, N. I.
, Sajuyigbe
, S.
, Mock
, J. J.
, Smith
, D. R.
, and Padilla
, W. J.
, 2008
, “Perfect Metamaterial Absorber
,” Phys. Rev. Lett.
, 100
(20
), p. 207402
. 10.1103/PhysRevLett.100.2074025.
Yang
, J.
, Huang
, M.
, Yang
, C.
, Peng
, J.
, and Chang
, J.
, 2010
, “An External Acoustic Cloak With N-Sided Regular Polygonal Cross Section Based on Complementary Medium
,” Comput. Mater. Sci.
, 49
(1
), pp. 9
–14
. 10.1016/j.commatsci.2010.03.0506.
Bigoni
, D.
, Guenneau
, S.
, Movchan
, A. B.
, and Brun
, M.
, 2013
, “Elastic Metamaterials With Inertial Locally Resonant Structures: Application to Lensing and Localization
,” Phys. Rev. B
, 87
(17
), p. 174303
. 10.1103/PhysRevB.87.1743037.
Baravelli
, E.
, and Ruzzene
, M.
, 2013
, “Internally Resonating Lattices for Bandgap Generation and Low-Frequency Vibration Control
,” J. Sound Vib.
, 332
(25
), pp. 6562
–6579
. 10.1016/j.jsv.2013.08.0148.
Yoo
, Y. J.
, Zheng
, H. Y.
, Kim
, Y. J.
, Rhee
, J. Y.
, Kang
, J. H.
, Kim
, K. W.
, Cheong
, H.
, Kim
, Y. H.
, and Lee
, Y. P.
, 2014
, “Flexible and Elastic Metamaterial Absorber for Low Frequency, Based on Small-Size Unit Cell
,” Appl. Phys. Lett.
, 105
(4
), p. 041902
. 10.1063/1.48850959.
Pendry
, J. B.
, 2000
, “Negative Refraction Makes a Perfect Lens
,” Phys. Rev. Lett.
, 85
(18
), pp. 3966
–3969
. 10.1103/PhysRevLett.85.396610.
Li
, J.
, and Chan
, C. T.
, 2004
, “Double-Negative Acoustic Metamaterial
,” Phys. Rev. E
, 70
(5
), p. 055602
. 10.1103/PhysRevE.70.05560211.
Climente
, A.
, Torrent
, D.
, and Sanchez-Dehesa
, J.
, 2010
, “Sound Focusing by Gradient Index Sonic Lenses
,” Appl. Phys. Lett.
, 97
(10
), p. 104103
. 10.1063/1.348834912.
Wu
, T.
, Chen
, Y.
, Sun
, J.
, Lin
, S.
, and Huang
, T.
, 2011
, “Focusing of the Lowest Antisymmetric Lamb Wave in a Gradient-Index Phonoic Crystal Plate
,” Appl. Phys. Lett.
, 98
(17
), p. 171911
. 10.1063/1.358366013.
Zhao
, J.
, Marchal
, R.
, Bonello
, B.
, and Boyko
, O.
, 2012
, “Efficient Focalization of Antisymmetric Lamb Wave in Gradient-Index Phonoic Crystal Plates
,” Appl. Phys. Lett.
, 101
(26
), p. 261905
. 10.1063/1.477336914.
Yan
, X.
, Zhu
, R.
, Huang
, G.
, and Yuan
, F.
, 2013
, “Focusing Guided Waves Using Surface Bonded Elastic Metamaterials
,” Appl. Phys. Lett.
, 103
(12
), p. 121901
. 10.1063/1.482125815.
Tol
, S.
, Degertekin
, F.
, and Erturk
, A.
, 2016
, “Gradient Index Phononic Crystal Lens-Based Enhancement of Elastic Wave Energy Harvesting
,” Appl. Phys. Lett.
, 109
(6
), p. 063902
. 10.1063/1.496079216.
Beck
, B. S.
, Cunefare
, K. A.
, Ruzzene
, M.
, and Collet
, M.
, 2011
, “Experimental Analysis of a Cantilever Beam With a Shunted Piezoelectric Periodic Array
,” J. Intell. Mater. Syst. Struct.
, 22
(11
), pp. 1177
–1187
. 10.1177/1045389X1141111917.
Xu
, J.
, Li
, S.
, and Tang
, J.
, 2018
, “Customized Shaping of Vibration Modes by Acoustic Metamaterial Synthesis
,” Smart Mater. Struct.
, 27
(4
), p. 045001
. 10.1088/1361-665X/aaad9f18.
Yang
, Z.
, Mei
, J.
, Yang
, M.
, Chan
, N. H.
, and Sheng
, P.
, 2008
, “Membrane-Type Acoustic Metamaterial With Negative Dynamic Mass
,” Phys. Rev. Lett.
, 101
(20
), p. 204301
. 10.1103/PhysRevLett.101.20430119.
Mei
, J.
, Ma
, G. C.
, Yang
, M.
, Yang
, Z.
, Wen
, W. J.
, and Sheng
, P.
, 2012
, “Dark Acoustic Metamaterials as Super Absorbers for Low-Frequency Sound
,” Nat. Commun.
, 3
(1
), p. 756
. 10.1038/ncomms175820.
Kushwaha
, M. S.
, Halevi
, P.
, Dobrzynski
, L.
, and Djafari-Rouhani
, B.
, 1993
, “Acoustic Band Structure of Periodic Elastic Composites
,” Phys. Rev. Lett.
, 71
(13
), pp. 2022
–2025
. 10.1103/PhysRevLett.71.202221.
Monsoriu
, J. A.
, Depine
, R. A.
, MartÝnez-Ricci
, M. L.
, and Silvestre
, E.
, 2006
, “Interaction Between Non-Bragg Band Gaps in 1D Metamaterial Photonic Crystals
,” Opt. Express
, 14
(26
), pp. 12958
–12967
. 10.1364/OE.14.01295822.
Airoldi
, L.
, and Ruzzene
, M.
, 2011
, “Wave Propagation Control in Beams Through Periodic Multi-Branch Shunts
,” J. Intell. Mater. Syst. Struct.
, 22
(14
), pp. 1567
–1579
. 10.1177/1045389X1140837223.
Huang
, G.
, and Sun
, C. T.
, 2010
, “Band Gaps in a Multiresonator Acoustic Metamaterial
,” ASME J. Vib. Acoust.
, 132
(3
), p. 031003
. 10.1115/1.400078424.
Tan
, K. T.
, Huang
, H. H.
, and Sun
, C. T.
, 2014
, “Blast-Wave Impact Mitigation Using Negative Effective Mass Density Concept of Elastic Metamaterials
,” Int. J. Impact Eng.
, 64
, pp. 20
–29
. 10.1016/j.ijimpeng.2013.09.00325.
Xu
, J.
, and Tang
, J.
, 2017
, “Tunable Prism Based on Piezoelectric Metamaterial for Acoustic Beam Steering
,” Appl. Phys. Lett.
, 110
(18
), p. 181902
. 10.1063/1.498271726.
Xiao
, Y.
, Wen
, J.
, and Wen
, X.
, 2012
, “Longitudinal Wave Band Gaps in Metamaterial-Based Elastic Rods Containing Multi-Degree-of-Freedom Resonators
,” New J. Phys.
, 14
(3
), p. 033042
. 10.1088/1367-2630/14/3/03304227.
Chen
, Y.
, Huang
, G.
, and Sun
, C. T.
, 2014
, “Band Gap Control in an Active Elastic Metamaterial With Negative Capacitance Piezoelectric Shunting
,” ASME J. Vib. Acoust.
, 136
(6
), p. 061008
. 10.1115/1.402837828.
Wang
, G.
, and Chen
, S.
, 2016
, “Large Low-Frequency Vibration Attenuation Induced by Arrays of Piezoelectric Patches Shunted With Amplifier-Resonator Feedback Circuit
,” Smart Mater. Struct.
, 25
(1
), p. 015004
. 10.1088/0964-1726/25/1/01500429.
Thorp
, O.
, Ruzzene
, M.
, and Baz
, A.
, 2001
, “Attenuation and Localization of Wave Propagation in Rods With Periodic Shunted Piezoelectric Patches
,” Smart Mater. Struct.
, 10
(5
), p. 979
. 10.1088/0964-1726/10/5/31430.
Hu
, G.
, Tang
, L.
, Das
, R.
, Gao
, S.
, and Liu
, H.
, 2017
, “Acoustic Metamaterials With Coupled Local Resonators for Broadband Vibration Suppression
,” AIP Adv.
, 7
(2
), p. 025211
. 10.1063/1.497755931.
Chen
, S.
, Wang
, G.
, Wen
, J.
, and Wen
, X.
, 2013
, “Wave Propagation and Attenuation in Plates With Periodic Arrays of Shunted Piezo-Patches
,” J. Sound Vib.
, 332
(6
), pp. 1520
–1532
. 10.1016/j.jsv.2012.11.00532.
Zhu
, R.
, Chen
, Y.
, Barnhart
, M.
, Hu
, G.
, Sun
, C.
, and Huang
, G.
, 2016
, “Experimental Study of an Adaptive Elastic Metamaterial Controlled by Electric Circuits
,” Appl. Phys. Lett.
, 108
(1
), p. 011905
. 10.1063/1.493954633.
Xu
, J.
, Yan
, R.
, and Tang
, J.
, 2018
, “Broadening Bandgap Width of Piezoelectric Metamaterial by Introducing Cavity
,” Appl. Sci.
, 8
(9
), p. 1606
. 10.3390/app809160634.
Fang
, X.
, Wen
, J.
, Bonello
, B.
, Yin
, J.
, and Yu
, D.
, 2017
, “Ultra-Low and Ultra-Broad-Band Nonlinear Acoustic Metamaterials
,” Nat. Commun.
, 8
(1
), p. 1288
. 10.1038/s41467-017-00671-935.
Khajehtourian
, R.
, and Hussein
, M.
, 2014
, “Dispersion Characteristics of a Nonlinear Elastic Metamaterial
,” AIP Adv.
, 4
(12
), p. 124308
. 10.1063/1.490505136.
Lazarov
, B. S.
, and Jensen
, J. S.
, 2007
, “Low-Frequency Band Gaps in Chains With Attached Non-Linear Oscillators
,” Int. J. Nonlin. Mech.
, 42
(10
), pp. 1186
–1193
. 10.1016/j.ijnonlinmec.2007.09.00737.
Lee
, W. S.
, Kim
, D. Z.
, and Kim
, K. J.
, 2006
, “Wideband Planar Monopole Antennas With Dual Band-Notched Characteristics
,” IEEE Trans. Microwave Theory Tech.
, 54
(6
), pp. 2800
–2806
. 10.1109/TMTT.2006.87489538.
Oh
, T. K.
, Lim
, Y. G.
, and Chae
, C. B.
, 2015
, “Dual-Polarization Slot Antenna With High Cross-Polarization Discrimination for Indoor Small-Cell MIMO Systems
,” IEEE Antennas Wirel. Propag. Lett.
, 14
(1
), pp. 374
–377
. 10.1109/LAWP.2014.236451739.
Deymier
, P.
, 2013
, Acoustic Metamaterials and Phononic Crystals
, Springer
, Berlin Heidelberg
.Copyright © 2020 by ASME
You do not currently have access to this content.
