A metamaterial plate with multi bandgaps is proposed for vibration suppression by integrating membrane-mass structures that can be used as locally resonant metastructure into a honeycomb sandwich structure. The finite element method is employed to calculate the band structure and the transmission spectra. The formation mechanisms of the locally resonant bandgaps are investigated via the analysis of the mode shapes of the membrane-mass resonator and face plate in a unit cell. The effects of the location of the attached mass on the bandgap property and an improved multi bandgaps structure is designed and discussed. Results show that the proposed multifunctional metamaterial exhibits an excellent vibration suppression performance, as well as a significant designability. Moreover, a specimen of the proposed metamaterial is fabricated and experimental measurements are performed, and a good agreement between the numerical predictions and the experimental results is obtained. The results of this study will be useful for the design of sandwich structures with multiple vibration bandgaps.
ZhangJXQinQHAiZJ, et al.Indentation of metal foam core sandwich beams: experimental and theoretical investigations. Exp Mech2016; 56: 771–784.
2.
CuiXDZhaoLMWangZH, et al.A lattice deformation based model of metallic lattice sandwich plates subjected to impulsive loading. Int J Sol Struct2012; 49: 2854–2862.
3.
FanHLYangWZhouQ. Experimental research of compressive responses of multi-layered woven textile sandwich panels under quasi-static loading. Compos Part B2011; 42: 1151–1156.
4.
ZhangJXQinQHXiangCP, et al.Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact. Compos Struct2016; 153: 614–623.
5.
ZhangYXueYLiJQ, et al.Active control of thermo-mechanical buckling of composite laminated plates using piezoelectric actuators. Acta Mechanica Solida Sinica2021; 34: 1–12.
6.
FengLJWeiGTYuGC, et al.Underwater blast behaviors of enhanced lattice truss sandwich panels. Int J Mech Sci2019; 150: 238–246.
7.
Vijayasimha ReddyBGSharmaKVYella ReddyT. Deformation and impact energy absorption of cellular sandwich panels. Mater Des2014; 61: 217–227.
8.
SongYBFengLPLiuZB, et al.Suppression of the vibration and sound radiation of a sandwich plate via periodic design. Int J Mech Sci2019; 150: 744–754.
9.
XinFXLuTJChenCQ. External mean flow influence on noise transmission through double-leaf aeroelastic plates. AIAA J2009; 47: 1939–1951.
10.
Salari-SharifLSchaedlerTAValdevitL. Hybrid hollow microlattices with unique combination of stiffness and damping. J Eng Mater Technol2018; 140: 031003.
11.
BoucherMASmithCWScarpaF, et al.Effective topologies for vibration damping inserts in honeycomb structures. Compos Struct2013; 106: 1–14.
12.
AumjaudPSmithCWEvansKE. A novel viscoelastic damping treatment for honeycomb sandwich structures. Compos Struct2015; 119: 322–332.
13.
JinYShiYYuGC, et al.A multifunctional honeycomb metastructure for vibration suppression. Int J Mech Sci2020; 188: 105964.
HuangYLLiJChenWQ, et al.Tunable bandgaps in soft phononic plates with spring– mass-like resonators. Int J Mech Sci2019; 151: 300–313.
16.
LiuZYZhangXXMaoYW, et al.Locally resonant sonic materials. Science2000; 289(5485): 1734–1736.
17.
XiaoWZengGWChengYS. Flexural vibration band gaps in a thin plate containing a periodic array of hemmed discs. Appl Acoust2008; 69(3): 255–261.
18.
El-NaggarSAMostafaSIRafatNH. Complete band gaps of phononic crystal plates with square rods. Ultrasonics2012; 52: 536–542.
19.
CaoLYYangZCXuYL, et al.Pillared elastic metasurface with constructive interference for flexural wave manipulation. Mech Syst Signal Process2021; 146: 107035.
20.
ZhangZHanXK. A new hybrid phononic crystal in low frequencies. Phys Lett A2016; 380: 3766–3772.
21.
TianWZhaoTYangZ. Supersonic meta-plate with tunable-stiffness nonlinear oscillators for nonlinear flutter suppression, Int J Mech Sci2022; 229: 107533.
22.
YangZMeiJYangM, et al.Membrane-type acoustic metamaterial with negative dynamic mass. Phys Rev Lett2008; 101(20): 204301.
23.
LangfeldtFRieckenJGleineW, et al.A membrane-type acoustic metamaterial with adjustable acoustic properties. J Sound Vibration2016; 373: 1–18.
24.
LangfeldtFGleineW. Membrane- and plate-type acoustic metamaterials with elastic unit cell edges. J Sound Vibration2019; 453: 65–86.
25.
SunLAu-YeungKYYangM, et al.Membrane-type resonator as an effective miniaturized tuned vibration mass damper. AIP Adv2016; 6: 085212.
26.
SunL. Experimental investigation of vibration damper composed of acoutic metamaterials. Appl Acoust2017; 119: 101–107.
27.
ChenJSHuangYJChienIT. Flexural wave propagation in metamaterial beams containing membrane-mass structures. Int J Mech Sci2017; 131: 500–506.
28.
GaoNSHouHMuYH. Low frequency acoustic properties of bilayer membrane acoustic metamaterial with magnetic oscillator. Theor Appl Mech Lett2017; 7(4): 252–257.
29.
MaFYHuangMXuYC, et al.Bilayer synergetic coupling double negative acoustic metasurface and cloak. Scientific Rep2017; 8(1): 5906.
30.
PaiPFPengHJiangSY. Acoustic metamaterial beams based on multi-frequency vibration absorbers. Int J Mech Sci2014; 79: 195–205.
31.
GaoCHalimDYiXS. Study of bandgap property of a bilayer membrane-type metamaterial applied on a thin plate. Int J Mech Sci2020; 184: 105784.
32.
LiuXFWangYFWangYS, et al.Wave propagation in a sandwich plate with a periodic composite core. J Sandwich Struct Mater2014; 16: 319–338.
33.
YuGLMiaoHW. On vibration isolation of sandwich plate with periodic hollow tube core. J Sandwich Struct Mater2019; 21(3): 1119–1132.
34.
ZhangYFanXLLiJQ, et al.Low-frequency vibration insulation performance of the pyramidal lattice sandwich metamaterial beam. Compos Struct2021; 278: 114719.
35.
WangQLiJQZhangY, et al.Bandgap properties in metamaterial sandwich plate with periodically embedded plate-type resonators. Mech Syst Signal Process2021; 151: 107375.
36.
LiJQFanXLLiFM. Numerical and experimental study of a sandwich-like metamaterial plate for vibration suppression. Compos Struct2020; 238: 111969.
37.
QiangCXHaoYXZhangW, et al.Bandgaps and vibration isolation of local resonance sandwich-like plate with simply supported overhanging beam. Appl Math Mech2021; 42(11): 1555–1570.
38.
GuoZKHuGBSorokinV, et al.Low-frequency flexural wave attenuation in metamaterial sandwich beam with hourglass lattice truss core. Wave Motion2021; 104: 102750.
39.
XueYLiJQWangY, et al.Tunable nonlinear band gaps in a sandwich-like meta-plate. Nonlinear Dyn2021; 106: 2841–2857.
40.
WangYHYangJChenZX, et al.Investigation of a novel MRE metamaterial sandwich beam with real-time tunable band gap characteristics. J Sound Vibration2022; 527: 116870.
41.
FanXLLiJQZhangXY, et al.Multi-bandgaps metamaterial plate design using complex mass-beam resonator. Int J Mech Sci2022. DOI: 10.1016/j.ijmecsci.2022.107742
