The phenomena of damping enhancement and higher decay coefficient are obtained by introducing a piezoelectric transducer at the resonating unit of the metamaterial. The difference between the damping ratio of the piezo-transducer controlled and that of the equivalent uncontrolled metamaterial is termed metadamping, and thereby it is used to indicate the enhancement of energy dissipation characteristics. The optimum inductance and resistance of the impregnated piezo-transducer are computed to minimize the response of the outer mass of a unit cell by implementing optimization technique. A parametric study is conducted after applying Bloch’s theorem, and the enhancement of damping over the complete Brillouin zone is determined to get a comprehension of the metadamping phenomenon. Impregnation of the piezo-transducer at the resonating unit not only enhances the normalized bandwidth more than twice but also significantly increases the damping emergence when compared to the equivalent uncontrolled metamaterial. This envisioned the promise of high-stiff, high-damped metamaterial for enhanced transient vibration control as well as wider attenuation bandgap.
AbbasiTURZhengH (2020) Wave dispersion and dissipation performance of locally resonant acoustic metamaterials using an internal variable model. Wave Motion93: 102483.
2.
AdhikariSFriswellMLitakG, et al. (2016) Design and analysis of vibration energy harvesters based on peak response statistics. Smart Materials and Structures25: 065009.
3.
Al Ba’ba’aHLinZTolS (2021) Metadamping enhancement and tunability via scissor-like electromechanical metamaterials. Journal of Applied Physics130: 184901.
4.
AladwaniANouhM (2020). Mechanics of metadamping in flexural dissipative metamaterials: analysis and design in frequency and time domains. International Journal of Mechanical Sciences173: 105459.
5.
AladwaniANouhM (2021) Strategic damping placement in viscoelastic bandgap structures: Dissecting the metadamping phenomenon in multiresonator metamaterials. Journal of Applied Mechanics88: 021003.
6.
AladwaniAMohammedANouhM (2022) Tunable dissipation in elastic metamaterials via methodic reconeuration of inertant mechanical networks. Meccanica57: 1337–1352.
7.
AndreassenEJensenJS (2013) Analysis of phononic bandgap structures with dissipation. Journal of Vibration and Acoustics135(4): 041015.
8.
AntoniadisIChronopoulosDSpitasV, et al. (2015) Hyper-damping properties of a stiff and stable linear oscillator with a negative stiffness element. Journal of Sound and Vibration346: 37–52.
9.
AramakiMYoshimuraTMurakamiS, et al. (2019) Electromechanical characteristics of piezoelectric vibration energy harvester with 2-degree-of-freedom system. Applied Physics Letters114: 133902.
10.
ArenaABacigalupoALepidiM (2022) Wave propagation in viscoelastic metamaterials via added-state formulation. International Journal of Mechanical Sciences228: 107461.
11.
AsamiTNishiharaOBazAM (2002) Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems. Journal of Vibration and Acoustics124: 284–295.
12.
BacquetCLAl Ba’ba’aHFrazierMJ, et al. (2018) Metadamping: dissipation emergence in elastic metamaterials. Advances in Applied Mechanics51: 115–164.
13.
BanerjeeABeraKK (2022) Emergence of non-reciprocity in metabeam exploiting piezoelectric sensing and actuation. International Journal of Mechanical Sciences236: 107765.
14.
BanerjeeADasRCaliusEP (2019) Waves in structured mediums or metamaterials: A review. Archives of Computational Methods in Engineering26: 1029–1058.
15.
BaravelliERuzzeneM (2013) Internally resonating lattices for bandgap generation and low-frequency vibration control. Journal of Sound and Vibration332: 6562–6579.
16.
BeraKKBanerjeeA (2021) Ultra-wide bandgap in active metamaterial from feedback control. Journal of Vibration and Control28: 23–24.
17.
BeraKKBanerjeeA (2023) Active metadamping: A phenomenon of damping enhancement in metamaterial via feedback control. Journal of Sound and Vibration546: 117452.
18.
ChandiramaniNK (2010) Active control of a piezo-composite rotating beam using coupled plant dynamics. Journal of Sound and Vibration329: 2716–2737.
19.
ChatterjeeTBeraKKBanerjeeA (2023) Machine learning enabled quantification of stochastic active metadamping in acoustic metamaterials. Journal of Sound and Vibration567: 117938.
20.
ChatziathanasiouGMChrysochoidisNASaravanosDA (2021) A semi-active shunted piezoelectric tuned mass damper for robust vibration control. Journal of Vibration and Control28: 21–22.
21.
ChatziathanasiouGMChrysochoidisNARekatsinasCS, et al. (2022) A semi-active shunted piezoelectric tuned-mass-damper for multi-modal vibration control of large flexible structures. Journal of Sound and Vibration537: 117222.
22.
ChenHLiXPChenYY, et al. (2017) Wave propagation and absorption of sandwich beams containing interior dissipative multi-resonators. Ultrasonics76: 99–108.
23.
ChenYBarnhartMVChenJ, et al. (2016) Dissipative elastic metamaterials for broadband wave mitigation at subwavelength scale. Composite Structures136: 358–371.
24.
ChenYHuangGSunC (2014) Band gap control in an active elastic metamaterial with negative capacitance piezoelectric shunting. Journal of Vibration and Acoustics136: 061008.
25.
CheungYWongWO (2011) H2 optimization of a nontraditional dynamic vibration absorber for vibration control of structures under random force excitation. Journal of Sound and Vibration330: 1039–1044.
26.
ChowdhurySBanerjeeA (2022) The exact closed-form expressions for optimal design parameters of resonating base isolators. International Journal of Mechanical Sciences224: 107284.
27.
ChowdhurySBanerjeeAAdhikariS (2022) Optimal negative stiffness inertial-amplifier-base-isolators: Exact closed-form expressions. International Journal of Mechanical Sciences218: 107044.
28.
ClaeysCCVergoteKSasP, et al. (2013) On the potential of tuned resonators to obtain low-frequency vibrational stop bands in periodic panels. Journal of Sound and Vibration332: 1418–1436.
29.
CrandallSHMarkWD (2014) Random Vibration in Mechanical Systems. Cambridge, MA: Academic Press.
DePauwDAl Ba’ba’aHNouhM (2018) Metadamping and energy dissipation enhancement via hybrid phononic resonators. Extreme Mechanics Letters18: 36–44.
32.
DhoteSZuJZhuY (2015) A nonlinear multi-mode wideband piezoelectric vibration-based energy harvester using compliant orthoplanar spring. Applied Physics Letters106: 163903.
33.
DuC-YYuD-LLiuJ-W, et al. (2017) Flexural vibration band gaps for a phononic crystal beam with x-shaped local resonance metadamping structure. Acta Physica Sinica66: 140701.
34.
DwivediABanerjeeABhattacharyaB (2020) Simultaneous energy harvesting and vibration attenuation in piezoembedded negative stiffness metamaterial. Journal of Intelligent Material Systems and Structures31: 1076–1090.
35.
DwivediABanerjeeAAdhikariS, et al. (2021) Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials. International Journal of Mechanics and Materials in Design17: 419–439.
36.
FrazierMJHusseinMI (2016) Generalized Bloch’s theorem for viscous metamaterials: Dispersion and effective properties based on frequencies and wavenumbers that are simultaneously complex. Comptes Rendus Physique17(5): 565–577.
37.
HuGTangLBanerjeeA, et al. (2017) Metastructure with piezoelectric element for simultaneous vibration suppression and energy harvesting. Journal of Vibration and Acoustics139: 011012.
38.
HusseinMIPatrickIBanerjeeA, et al. (2022a) Metadamping in inertially amplified metamaterials: Trade-off between spatial attenuation and temporal attenuation. Journal of Sound and Vibration531: 116977.
39.
HusseinMPatrickIBanerjeeA, et al. (2022b) Metadamping in inertially amplified metamaterials: Trade-off between spatial attenuation and temporal attenuation. Journal of Sound and Vibration531: 116977.
40.
HusseinMIFrazierMJ (2010) Band structure of phononic crystals with general damping. Journal of Applied Physics108: 093506.
41.
HusseinMIFrazierMJ (2013) Metadamping: An emergent phenomenon in dissipative metamaterials. Journal of Sound and Vibration332: 4767–4774.
42.
HusseinMILeamyMJRuzzeneM (2014) Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook. Applied Mechanics Reviews66: 040802.
43.
JamesHMNicholsNBPhillipsRS, et al. (1947) Theory of Servomechanisms, Vol. 25. New York, NY: McGraw-Hill.
44.
KerbouaMMegnounifABenguediabMeta. (2015) Vibration control beam using piezoelectric-based smart materials. Composite Structures123: 430–442.
45.
LiF-MSongZ-GChenZ-B (2012) Active vibration control of conical shells using piezoelectric materials. Journal of Vibration and Control18: 2234–2256.
46.
LiQHeZLiE (2019) Dissipative multi-resonator acoustic metamaterials for impact force mitigation and collision energy absorption. Acta Mechanica230: 2905–2935.
47.
ManconiEMaceBR (2010) Estimation of the loss factor of viscoelastic laminated panels from finite element analysis. Journal of Sound and Vibration329: 3928–3939.
48.
ManimalaJMSunC (2014) Microstructural design studies for locally dissipative acoustic metamaterials. Journal of Applied Physics115: 023518.
49.
NouhMAAldraihemOJBazA (2016) Periodic metamaterial plates with smart tunable local resonators. Journal of Intelligent Material Systems and Structures27: 1829–1845.
50.
PatroSRBanerjeeAAdhikariS, et al. (2022) Kaimal spectrum based H2 optimization of tuned mass dampers for wind turbines. Journal of Vibration and Control29: 13–14.
51.
RobertsJBSpanosPD (2003) Random Vibration and Statistical Linearization. Chelmsford, MA: Courier Corporation.
52.
SharmaSKumarAKumarR, et al. (2020) Active vibration control of smart structure using poling tuned piezoelectric material. Journal of Intelligent Material Systems and Structures31: 1298–1313.
53.
SuginoCErturkA (2018) Analysis of multifunctional piezoelectric metastructures for low-frequency bandgap formation and energy harvesting. Journal of Physics D: Applied Physics51: 215103.
54.
SuginoCRuzzeneMErturkA (2018) Merging mechanical and electromechanical bandgaps in locally resonant metamaterials and metastructures. Journal of the Mechanics and Physics of Solids116: 323–333.
55.
SuginoCXiaYLeadenhamS, et al. (2017) A general theory for bandgap estimation in locally resonant metastructures. Journal of Sound and Vibration406: 104–123.
56.
Van BelleLClaeysCDeckersE, et al. (2017) On the impact of damping on the dispersion curves of a locally resonant metamaterial: Modelling and experimental validation. Journal of Sound and Vibration409: 1–23.
57.
WarburtonGB (1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering & Structural Dynamics10: 381–401.
58.
XiaoLBursiOSLiH, et al. (2022) Energy dissipation enhancement of flexural metamaterial beams with inerter and rotational deformation. International Journal of Mechanical Sciences237: 107770.
59.
YawZZhouWLimC (2022) Anomalous wave control by an adaptive elastic metasurface shunted with negative capacitance circuit. Journal of Sound and Vibration525: 116782.
60.
YiKColletM (2021) Broadening low-frequency bandgaps in locally resonant piezoelectric metamaterials by negative capacitance. Journal of Sound and Vibration493: 115837.
61.
ZhouWMuhammad ChenW, et al. (2019) Actively controllable flexural wave band gaps in beam-type acoustic metamaterials with shunted piezoelectric patches. European Journal of Mechanics-A/Solids77: 103807.
