Articles

Actively tunable sandwich acoustic metamaterials with magnetorheological elastomers

Expand
  • 1College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China
    2Engineering and Technology Institute of Groningen (ENTEG), University of Groningen, Groningen 9700 AB, The Netherlands
Jinqiang LI, E-mail: lijinqiang@hrbeu.edu.cn

Received date: 2024-06-25

  Online published: 2024-10-30

Supported by

the National Natural Science Foundation of China(12472007);the National Natural Science Foundation of China(12072084);the Fundamental Research Funds for the Central Universities of China;Project supported by the National Natural Science Foundation of China (Nos. 12472007 and 12072084) and the Fundamental Research Funds for the Central Universities of China

Copyright

Editorial Department of Applied Mathematics and Mechanics (English Edition), 2024,

Abstract

Sandwich structures are widespread in engineering applications because of their advantageous mechanical properties. Recently, their acoustic performance has also been improved to enable attenuation of low-frequency vibrations induced by noisy environments. Here, we propose a new design of sandwich plates (SPs) featuring a metamaterial core with an actively tunable low-frequency bandgap. The core contains magnetorheological elastomer (MRE) resonators which are arranged periodically and enable controlling wave attenuation by an external magnetic field. We analytically estimate the sound transmission loss (STL) of the plate using the space harmonic expansion method. The low frequency sound insulation performance is also analyzed by the equivalent dynamic density method, and the accuracy of the obtained results is verified by finite-element simulations. Our results demonstrate that the STL of the proposed plate is enhanced compared with a typical SP analog, and the induced bandgap can be effectively tuned to desired frequencies. This study further advances the field of actively controlled acoustic metamaterials, and paves the way to their practical applications.

Cite this article

Jinhui LIU, Yu XUE, Zhihong GAO, A. O. KRUSHYNSKA, Jinqiang LI . Actively tunable sandwich acoustic metamaterials with magnetorheological elastomers[J]. Applied Mathematics and Mechanics, 2024 , 45(11) : 1875 -1894 . DOI: 10.1007/s10483-024-3186-9

References

1 SILVA,B. G.,ALVES,F.,SARDINHA,M.,REIS,L.,LEITE,M.,DEUS,A. M., andVAZ,M. F.Functionally graded cellular cores of sandwich panels fabricated by additive manufacturing.Proceedings of the Institution of Mechanical Engineers Part L-Journal of Materials-Design and Applications,236(9),1814-1828(2022)
2 SUN,Y.,GUO,L. C.,WANG,T. S.,YAO,L. J., andSUN,X. Y.Bending strength and failure of single-layer and double-layer sandwich structure with graded truss core.Composite Structures,226,111204(2019)
3 MA,N. F.,HAN,Q.,HAN,S. H., andLI,C. L.Hierarchical re-entrant honeycomb metamaterial for energy absorption and vibration insulation.International Journal of Mechanical Sciences,250,108307(2023)
4 JIANG,T. J.,HAN,S. H.,HAN,Q., andLI,C. L.Design and optimization of the dual-functional lattice-origami metamaterials.Composite Structures,327,117670(2024)
5 FU,T.,CHEN,Z. B.,YU,H. Y.,WANG,Z. L., andLIU,X. X.An analytical study of sound transmission through stiffened double laminated composite sandwich plates.Aerospace Science and Technology,82-83,92-104(2018)
6 SHEN,C.,XIN,F. X., andLU,T. J.Sound transmission across composite laminate sandwiches: influence of orthogonal stiffeners and laminate layup.Composite Structures,143,310-316(2016)
7 WANG,D. W., andMA,L.Sound transmission through composite sandwich plate with pyramidal truss cores.Composite Structures,164,104-117(2017)
8 WANG,D. W.,MA,L., andWEN,Z. H.Sound transmission through a sandwich structure with two-layered pyramidal core and cavity absorption.Journal of Sound and Vibration,459,114853(2019)
9 LI,Y. L.,ZHANG,Y. L., andXIE,S. C.A lightweight multilayer honeycomb membrane-type acoustic metamaterial.Applied Acoustics,168,107427(2020)
10 OLIAZADEH,P.,FARSHIDIANFAR,A., andCROCKER,M. J.Experimental study and analytical modeling of sound transmission through honeycomb sandwich panels using SEA method.Composite Structures,280,114927(2022)
11 LI,Y. L.,YAN,J. H., andZHANG,Y. L.Low-frequency sound insulation of honeycomb membrane-type acoustic metamaterials with different interlayer characteristics.Journal of Vibration and Control,30(7-8),1422-1437(2024)
12 DE MELO,N.,CLAEYS,C.,DECKERS,E., andDESMET,W.Metamaterial foam core sandwich panel designed to attenuate the mass-spring-mass resonance sound transmission loss dip.Mechanical Systems and Signal Processing,139,106624(2020)
13 ZHOU,R., andCROCKER,M. J.Sound transmission loss of foam-filled honeycomb sandwich panels using statistical energy analysis and theoretical and measured dynamic properties.Journal of Sound and Vibration,329(6),673-686(2010)
14 ZHANG,Y. W.,SHE,G. L., andDING,H. X.Nonlinear resonance of graphene platelets reinforced metal foams plates under axial motion with geometric imperfections.European Journal of Mechanics A-Solids,98,104887(2023)
15 XIAO,Y.,WEN,J. H., andWEN,X. S.Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators.Journal of Sound and Vibration,331(25),5408-5423(2012)
16 MEAD,D. J., andPUJARA,K. K.Space-harmonic analysis of periodically supported beams: response to convected random loading.Journal of Sound and Vibration,14(4),525-541(1971)
17 LEE,J. H., andKIM,J.Analysis of sound transmission through periodically stiffened panels by space-harmonic expansion method.Journal of Sound and Vibration,251(2),349-366(2002)
18 LEE,J. H., andKIM,J.Sound transmission through periodically stiffened cylindrical shells.Journal of Sound and Vibration,251(3),431-456(2002)
19 XIN,F. X., andLU,T. J.Analytical modeling of fluid loaded orthogonally rib-stiffened sandwich structures: sound transmission.Journal of the Mechanics and Physics of Solids,58(9),1374-1396(2010)
20 WANG,M. F.,YI,K. J., andZHU,R.Tunable underwater low-frequency sound absorption via locally resonant piezoelectric metamaterials.Journal of Sound and Vibration,548,117514(2023)
21 YU,C. L.,DUAN,M. Y.,HE,W.,CHEN,X.,XIN,F. X., andLU,T. J.Grating-like anechoic layer for broadband underwater sound absorption.International Journal of Mechanical System Dynamics,2(3),265-277(2022)
22 MENG,H.,GALLAND,M. A.,ICHCHOU,M.,XIN,F. X., andLU,T. J.On the low frequency acoustic properties of novel multifunctional honeycomb sandwich panels with micro-perforated faceplates.Applied Acoustics,152,31-40(2019)
23 TANG,Y. F.,XIN,F. X., andLU,T. J.Sound absorption of micro-perforated sandwich panel with honeycomb-corrugation hybrid core at high temperatures.Composite Structures,226,111285(2019)
24 WANG,D. W.,MA,L.,WANG,X. T., andQI,G.Sound transmission loss of sandwich plate with pyramidal truss cores.Journal of Sandwich Structures & Materials,22(3),551-571(2020)
25 WANG,D. W.,MA,L.,WANG,X. T.,WEN,Z. H., andGLORIEUX,C.Sound transmission loss of laminated composite sandwich structures with pyramidal truss cores.Composite Structures,220,19-30(2019)
26 FU,T.,CHEN,Z. B.,YU,H. Y.,ZHU,X. Z., andZHAO,Y. Z.Sound transmission loss behavior of sandwich panel with different truss cores under external mean airflow.Aerospace Science and Technology,86,714-723(2019)
27 WANG,S.,ZHANG,X. C.,LI,F. M., andHOSSEINI,S. M.Sound transmission loss of a novel acoustic metamaterial sandwich panel: theory and experiment.Applied Acoustics,199,109035(2022)
28 XUE,Y.,LI,J. Q.,WANG,Y., andLI,F. M.Broadband vibration attenuation in nonlinear meta-structures with magnet coupling mechanism: theory and experiments.Communications in Nonlinear Science and Numerical Simulation,127,107543(2023)
29 WU,Z. J.,LIU,W. Y.,LI,F. M., andZHANG,C. Z.Band-gap property of a novel elastic metamaterial beam with X-shaped local resonators.Mechanical Systems and Signal Processing,134,106357(2019)
30 LIN,Q. H.,LIN,Q. L.,WANG,Y. H., andDI,G. Q.Sound insulation performance of sandwich structure compounded with a resonant acoustic metamaterial.Composite Structures,273,114312(2021)
31 WANG,Y. F.,WANG,Y. Z.,WU,B.,CHEN,W. Q., andWANG,Y. S.Tunable and active phononic crystals and metamaterials.Applied Mechanics Reviews,72,040801(2020)
32 GONG,X. T.,ZHOU,H. T.,ZHANG,S. C.,WANG,Y. F., andWANG,Y. S.Tunable sound transmission through water-air interface by membrane-sealed bubble metasurface.Applied Physics Letters,123,231703(2023)
33 GUO,W.,MA,Y. K.,WANG,Y. F.,LAUDE,V., andWANG,Y. S.Dual-tunable phononic waveguides for manipulation of guided Lamb waves.Programmable Materials,1,e11(2023)
34 CHANG,L. G.,LI,X. W.,GUO,Z. R.,CAO,Y. J.,LU,Y. Y.,GARZIEAR,R., andJIANG,H. Q.On-demand tunable metamaterials design for noise attenuation with machine learning.Materials & Design,238,112685(2024)
35 DENG,S. H.,HE,Y. Y.,WU,Y. D., andDING,W. P.A locally resonant metamaterial beam with tunable electromagnetic stiffness based on the electromechanical analogy network.Smart Materials and Structures,33(5),055052(2024)
36 YUAN,T. Y.,SONG,X.,XU,J. J.,PAN,B. R.,SUI,D.,XIAO,H. Y., andZHOU,J.Tunable acoustic composite metasurface based porous material for broadband sound absorption.Composite Structures,298,116014(2022)
37 ZHAO,T.,YANG,Z. C., andTIAN,W.Tunable nonlinear metastructure with periodic bi-linear oscillators for broadbend vibration suppression.Thin-Walled Structures,191,110975(2023)
38 QUE,W. Z.,YANG,X. D., andZHANG,W.Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate.Applied Mathematics and Mechanics (English Edition),43(8),1145-1158(2022)
39 YOON,D. S.,KIM,G. W., andCHOI,S. B.Response time of magnetorheological dampers to current inputs in a semi-active suspension system: modeling, control and sensitivity analysis.Mechanical Systems and Signal Processing,146,106999(2021)
40 HAN,W. J.,WANG,S.,RUI,X. T.,DONG,Y. Z., andCHOI,H. J.Core/shell magnetite/copolymer composite nanoparticles enabling highly stable magnetorheological response.International Journal of Mechanical System Dynamics,2(2),155-164(2022)
41 SETTET,A. T.,AGUIB,S.,NOUR,A., andZERROUNI,N.Study and analysis of the magneto-mechanical behavior of smart composite sandwich beam in elastomer.Mechanika,25(4),320-325(2019)
42 AGUIB,S.,NOUR,A.,BENKOUSSAS,B.,TAWFIQ,I.,DJEDID,T., andCHIKH,N.Numerical simulation of the nonlinear static behavior of composite sandwich beams with a magnetorheological elastomer core.Composite Structures,139,111-119(2016)
43 VEMULURI,R. B.,RAJAMOHAN,V., andARUMUGAM,A. B.Dynamic characterization of tapered laminated composite sandwich plates partially treated with magnetorheological elastomer.Journal of Sandwich Structures & Materials,20(3),308-350(2018)
44 LI,H.,WANG,W. Y.,WANG,Q. S.,HAN,Q. K.,LIU,J. G.,QIN,Z. Y.,XIONG,J., andWANG,X. P.Static and dynamic performances of sandwich plates with magnetorheological elastomer core: theoretical and experimental studies.Journal of Sandwich Structures & Materials,24(3),1556-1579(2022)
45 HOSEINZADEH,M., andREZAEEPAZHAND,J.Dynamic stability enhancement of laminated composite sandwich plates using smart elastomer layer.Journal of Sandwich Structures & Materials,22(8),2796-2817(2020)
46 WILLEY,C. L.,CHEN,V. W.,SCALZI,K. J.,BUSKOHL,P. R., andJUHL,A. T.A reconfigurable magnetorheological elastomer acoustic metamaterial.Applied Physics Letters,117,104102(2020)
47 HASHEMINEJAD,S. M., andSHABANIMOTLAGH,M.Magnetic-field-dependent sound transmission properties of magnetorheological elastomer-based adaptive panels.Smart Materials and Structures,19,035006(2010)
48 XUE,Y.,LI,J. Q.,WANG,Y.,SONG,Z. G., andKRUSHYNSKA,A. O.Widely tunable magnetorheological metamaterials with nonlinear amplification mechanism.International Journal of Mechanical Sciences,264,108830(2021)
49 LI,J. Q.,XUE,Y., andLI,F. M.Active band gap control of magnetorheological meta-plate using frequency feedback control law.Journal of Sound and Vibration,567,118076(2023)
50 WANG,Y. H.,YANG,J.,CHEN,Z. X.,GONG,X. L.,DU,H. P.,ZHANG,S. W.,LI,W. H., andSUN,S. S.Investigation of a novel MRE metamaterial sandwich beam with real-time tunable band gap characteristics.Journal of Sound and Vibration,527,116870(2022)
51 CHEN,Z. X.,SUN,S. S.,DENG,L.,YANG,J.,ZHANG,S. W.,DU,H. P., andLI,W. H.Investigation of a new metamaterial magnetorheological elastomer isolator with tunable vibration bandgaps.Mechanical Systems and Signal Processing,170,108806(2022)
52 WANG,L. Z.,CHEN,Z. B., andCHENG,L.A metamaterial plate with magnetorheological elastomers and gradient resonators for tuneable low-frequency and broadband flexural wave manipulation.Thin-Walled Structures,184,110521(2023)
53 WANG,Q.,CHEN,Z. X.,WANG,Y. H.,GONG,N.,YANG,J.,LI,W. H., andSUN,S. S.A metamaterial isolator with tunable low frequency stop-band based on magnetorheological elastomer and magnet spring.Mechanical Systems and Signal Processing,208,111029(2024)
54 LIN,Y.,YANG,J.,WANG,Y. H.,CHEN,Z. X.,GONG,L. P.,WANG,Q.,ZHANG,S. W.,LI,W. H., andSUN,S. S.Investigation of a new magnetorheological elastomer metamaterial plate with continuous programmable properties for vibration manipulation.Journal of Sound and Vibration,573,118215(2024)
55 LOU,C. C.,LIU,B.,CAO,X. F.,GAO,L.,XUAN,S. H.,DENG,H. X., andGONG,X. L.Dual-modulus 3D printing technology for magnetorheological metamaterials-part I: manufacturing and performance.Composites Part A-Applied Science and Manufacturing,176,107881(2024)
56 GORSHKOV,V. N.,BEREZNYKOV,O. V.,BOIGER,G. K.,SAREH,P., andFALLAH,A. S.Acoustic metamaterials with controllable bandgap gates based on magnetorheological elastomers.International Journal of Mechanical Sciences,238,107829(2023)
57 DAVIS,L. C.Model of magnetorheological elastomers.Journal of Applied Physics,85(6),3348-3351(1999)
58 XU,Z. L.,TONG,J., andWU,F. G.Magnetorheological elastomer vibration isolation of tunable three-dimensional locally resonant acoustic metamaterial.Solid State Communications,271,51-55(2018)
59 ZHANG,Y.,FAN,X. L.,LI,J. Q.,LI,F. M.,YU,G. C.,ZHANG,R. B., andYUAN,K. F.Low-frequency vibration insulation performance of the pyramidal lattice sandwich metamaterial beam.Composite Structures,278,114719(2021)
60 NARITA,Y.Layerwise optimization for the maximum fundamental frequency of laminated composite plates.Journal of Sound and Vibration,263(5),1005-1016(2003)
61 FAN,X. L.,LI,J. Q.,ZHANG,X. Y., andLI,F. M.Multi-bandgaps metamaterial plate design using complex mass-beam resonator.International Journal of Mechanical Sciences,236(15),107742(2022)
62 WANG,Q.,LI,J. Q., andLI,F. M.Bandgap properties in metamaterial sandwich plate with periodically embedded plate-type resonators.Mechanical Systems and Signal Processing,151,107375(2021)
63 LI,J. Q.,FAN,X. L., andLI,F. M.Numerical and experimental study of a sandwich-like metamaterial plate for vibration suppression.Composite Structures,238,111969(2020)
Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals