Numerical investigations and experimental measurements on the structural dynamic behaviour of quasi-periodic meta-materials

Timorian, Safiullah; Ouisse, Morvan; Bouhaddi, Noureddine; Rosa, Sergio De; Franco, Francesco

doi:10.1016/j.ymssp.2019.106516

Cited by 32 publications

(13 citation statements)

References 23 publications

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“…In recent years, the emerging metamaterials based on local resonators provide new ways to deal with low-frequency vibration and noise issues [1][2][3][4][5][6]. Metamaterials present sub-wavelength bandgaps (at frequencies much lower than the first Bragg bandgap), within which wave propagation is prohibited.…”

Section: Introductionmentioning

confidence: 99%

Broadening low-frequency bandgaps in locally resonant piezoelectric metamaterials by negative capacitance

Collet

2021

Journal of Sound and Vibration

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This paper combines negative capacitance (NC) with inductance (L) to enlarge lowfrequency bandgap width in locally resonant piezoelectric metamaterials. The studied metamaterials are obtained by directly bonding patches on the surfaces of host structures, then connecting patches to shunts. Shunts with NC and L in series and in parallel are both studied. Analytical expressions of the bandgap ranges are derived, which reveal that the bandgap size is increased not simply because the NC enhancing the material's electro-mechanical coupling factor, but in a more complicated way. Parametric studies are performed to analytically investigate the tuning properties of the LR bandgap by NC.Results demonstrate that by modifying NC value, the LR bandgap size can be significantly increased. Numerical simulations are done to verify the effects of the broadened bandgap on vibration transmission and reveal the limitations of the used analytical model. Practical implementation of the shunts are also discussed, recommendations on choosing the shunt configurations and NC values are given. This paper gives a theoretical guideline on designing piezoelectric metamaterials with bandgap effects at desired frequency ranges for practical applications like low-frequency vibration and noise reduction or isolation.

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Section: Introductionmentioning

confidence: 99%

Broadening low-frequency bandgaps in locally resonant piezoelectric metamaterials by negative capacitance

Collet

2021

Journal of Sound and Vibration

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“…It has also been shown that this approach can be extended to 2 D quasi-periodic pattern using the Thue-Morse morphism sequence. 15…”

Section: Introductionmentioning

confidence: 99%

Correlated disorder in rainbow metamaterials for vibration attenuation

Fabro

Meng

Chronopoulos

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Metastructures are typically composed of periodic unit cells designed to present enhanced dynamic properties in which either single or multiple resonators are periodically distributed. Even though the periodic metamaterials can obtain bandgaps with outstanding vibration attenuation, the widths of bandgaps can still be narrow for some practical applications. Rainbow metamaterials have been proposed based on gradient or random profiles to provide further improved attenuation. Nonetheless, the effects of correlated random disorder on their attenuation performance remains an open challenge. This work presents an investigation on the effects of correlated disorder on the vibration attenuation of rainbow metamaterials. An analytical model using the transfer matrix approach is used to calculate the receptance functions in a finite length metastructure composed of evenly spaced non-symmetric resonators attached to a beam with Π-shaped cross-section, thus a multi-frequency metastructure. The correlated disorder is modelled using random fields and an analytical expression of the Karhunen-Loève expansion is used such that spatial correlation on the resonator properties is modified by various correlation lengths, i.e., the level of spatial smoothness. Individual samples of random fields are used to investigate the effects of the correlated disorder in the vibration attenuation of a multi-frequency metastructure. It is shown that the bandgap can be further widened when compared to uncorrelated disorder. The obtained results indicates that a combination of the gradient profile with some level of disorder, typically resulting from random fields with larger correlation lengths, tends to give improved vibration attenuation when compared to a optimized gradient rainbow metamaterial. It opens new and innovative ways for the design of broadband rainbow metastructures for vibration attenuation.

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“…Alternatively, long-range periodicity can be broken in a controlled way using the concept of quasicrystals [17][18][19]. Examples are known in * bart.vandamme@empa.ch one, two, or three dimensions, e.g., Fibonacci sequences [20], modulation of a periodic sequence [15,21,22], or certain tessellations [23]. Quasicrystals exhibit no translational periodicity, but they contain local symmetries interacting with impinging wave fields [24].…”

Section: Introductionmentioning

confidence: 99%