Wave propagation in viscoelastic metamaterials via added-state formulation

Arena, Andrea; Bacigalupo, Andrea; Lepidi, Marco

doi:10.1016/j.ijmecsci.2022.107461

Cited by 9 publications

(2 citation statements)

References 54 publications

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“…A special sub-class of such metamaterials are locally resonant metamaterials comprising sub-wavelength resonators (when the characteristic size of a resonator is much smaller than target wavelengths) in a host structure, usually in a periodic way, with the goal to suppress wave propagation in challenging low-frequency ranges [24][25][26][27][28]. The majority of current designs of locally resonant metamaterials have resonators with linear dynamic behavior and are represented by mass-membrane [29][30], mass-rubber [31][32][33], mass-screws [34][35], beam-type [36][37] and plate-type [38][39] structures.…”

Section: Introductionmentioning

confidence: 99%

Widely tunable magnetorheological metamaterials with nonlinear amplification mechanism

Xue,

Li,

Wang

et al. 2024

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

Widely tunable magnetorheological metamaterials with nonlinear amplification mechanism

Xue,

Li,

Wang

et al. 2024

International Journal of Mechanical Sciences

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“…Spatial attenuation occurs in the range of frequencies within the attenuation band due to Bragg scattering, inertial amplification, and local resonance (Banerjee et al, 2019). On the other hand, in the free wave approach (Aladwani and Nouh, 2020, 2021; Aladwani et al, 2022; Arena et al, 2022; Bacquet et al, 2018; Du et al, 2017; Hussein and Frazier, 2013; Hussein et al, 2022a; Xiao et al, 2022), real wave numbers are prescribed and the effects of damping is obtained in the form of complex frequency, thus allowing the quantification of temporal attenuation while spatial attenuation emerges due to Bragg scattering and/or local resonance. It is worth mentioning that there exist extensive analytical, numerical, and experimental studies related to the driven wave approach; however, work on the free wave approach is relatively scarce.…”

Section: Introductionmentioning

confidence: 99%

Optimized piezo-shunted metadamping towards the high-stiff high-damped metamaterial

Bera,

Biswas,

Banerjee

2024

Journal of Intelligent Material Systems and Structures

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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 [Formula: see text] 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.

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A viscoelastic metamaterial beam for integrated vibration isolation and energy harvesting

Zhao,

Lu,

Ding

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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Locally resonant metamaterials have low-frequency band gaps and the capability of converging vibratory energy in the band gaps at resonant cells. It has been demonstrated by several researchers that the dissipatioin of vibratory energy within the band gap can be improved by using viscoelastic materials. This paper designs an integrated viscoelastic metamaterial for energy harvesting and vibration isolation. The viscoelastic metamaterial is achieved by a viscoelastic beam periodically arrayed with spatial ball-pendulum nonlinear energy harvesters. The nonlinear resonator with an energy harvesting function is achieved by placing a free-rolling magnetic ball in a spherical cavity with an additional induction coil. The dynamic equations of viscoelastic metamaterials under transverse excitation are established, and the energy harvesting and vibration isolation characteristics within the dispersion relation of viscoelastic metamaterials are analyzed. The results show that the vibrations of the main body of the viscoelastic metamaterial beam are significantly suppressed in the frequency range of the local resonance band gap. At the same time, the elastic waves are limited in the nonlinear resonator with an energy harvesting function, which improves the energy output. Finally, an experimental platform of viscoelastic metamaterial vibration is established for validation purposes.

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Wave propagation in viscoelastic metamaterials via added-state formulation

Cited by 9 publications

References 54 publications

Widely tunable magnetorheological metamaterials with nonlinear amplification mechanism

Widely tunable magnetorheological metamaterials with nonlinear amplification mechanism

Optimized piezo-shunted metadamping towards the high-stiff high-damped metamaterial

A viscoelastic metamaterial beam for integrated vibration isolation and energy harvesting

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