Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass

Banerjee, Arnab; Adhikari, Sondipon; Hussein, Mahmoud I.

doi:10.1016/j.ijmecsci.2021.106630

Cited by 75 publications

(14 citation statements)

References 46 publications

(60 reference statements)

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“…This mechanical model could represent a real mechanical slider chain (see Figure 1a) with large masses mutually connected through inerters based on lever-arms and secondary masses (e.g. see [53]), where motions of these masses (denoted with m in ) are supported by inclined lever arms with the angle of inclination θ. In that case, inertance parameters are calculated as j a,b = m in /4 tan 2 (θ).…”

Section: Wave Dispersion and Topology Of Ideal Inerter-based Latticesmentioning

confidence: 99%

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Cajić

Karličić²,

Christensen

et al. 2023

Journal of Sound and Vibration

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Section: Wave Dispersion and Topology Of Ideal Inerter-based Latticesmentioning

confidence: 99%

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Cajić

Karličić²,

Christensen

et al. 2023

Journal of Sound and Vibration

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“…low frequency and broad band are incompatible with high stiffness and lightweight, can be overcome by this bandgap [20,[22][23][24][25]. Although some remarkable advances have been achieved [26][27][28][29][30], the structure configurations with inertial amplification effect always originate from the classic geometric model to extend their versatility and applicability [26][27][28]31], rather than for further progress in amplifying dynamic inertia. Eventually, the breakthrough in low-frequency bandgaps is stalled, which can be attributed to the lack of diverse structures superficially.…”

Section: Introductionmentioning

confidence: 99%

Description of bandgaps opening in chiral phononic crystals by analogy with Thomson scattering

Ding,

Chen,

Chen

et al. 2023

New J. Phys.

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Chiral phononic crystals provide unique properties not offered by conventional metamaterial based on classic Bragg scattering and local resonance. However, it is insufficient to only consider the inertial amplification effect to describe its bandgap mechanism due to the absence of the bandgap caused by the chirality in some specific chiral structures. Here, we theoretically and experimentally introduce an analogy with Thomson scattering in electromagnetic waves to characterize the bandgap phenomena in chiral phononic crystals with translation-rotation coupling. Another phononic structures with translation-translation coupling are proposed to illustrate the universality of the analogy. We evidence that the coupling motion in chiral unit cells is similar to the result of Thomson scattering, which quantitatively formulizing as inertial amplification in theory and, twice elastic Thomson scattering allows the waves in the same polarization mode to superpose in antiphase, which is essence of the bandgap formation. This finding sheds a new light on the physics of the elastodynamic wave manipulation in chiral phononic crystals, thus opening a definite route for the pragmatic exploitation of chiral phononic crystals as well as other structures with motion coupling in achieving low-frequency and broad bandgaps.

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“…Ref. [20] utilized the modal coupling of a lever mass and a conventional local resonant mass connected separately to the base to form a doubleattenuation bandgap. Duhamel et al [21] proposed a finite element program to calculate the dynamic response of infinite periodic structures under local time-dependent excitation.…”

Section: Introductionmentioning

confidence: 99%

Investigations on the Band-Gap Characteristics of Variable Cross-Section Periodic Structure Support Made of Acrylonitrile-Butadiene-Styrene

et al. 2022

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Based on the band gap theory of periodic structure, this article proposes a new variable cross-section periodic structure support made of acrylonitrile-butadiene-styrene. The band gap characteristics of the periodic structure support were studied experimentally. According to the basic theory of band gap calculation, two kinds of supports with the same installation size were designed, and they were manufactured by 3D printer. Then, the displacement–load curve and the vibration characteristic curves of the periodic structure support were obtained through simulation analysis. The band gap range of the two supports was measured by hammer excitation, and the accuracy of the finite element model was verified by comparison with the experiment results. Finally, the response curve of the periodic structure support with variable cross-section every 100 Hz was obtained by excitation of the shaker, which verified the vibration isolation effect of the measured band gap. The results show a band gap in the support of the variable cross-section periodic structure, compared with the support of the non-periodic structure. If the vibration frequency is within the band gap frequency, the vibration will be significantly attenuated.

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Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass

Cited by 75 publications

References 46 publications

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping

Description of bandgaps opening in chiral phononic crystals by analogy with Thomson scattering

Investigations on the Band-Gap Characteristics of Variable Cross-Section Periodic Structure Support Made of Acrylonitrile-Butadiene-Styrene

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