Investigation of flexural wave band gaps in a locally resonant metamaterial with plate-like resonators

Jung, Jaesoon; Goo, Seongyeol; Wang, Semyung

doi:10.1016/j.wavemoti.2019.102492

Cited by 30 publications

(13 citation statements)

References 31 publications

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“…However, an anti-resonance-based design method generally requires relatively expensive computational resources to analyze the entire periodic structure. Using the stopband analysis, the response of the entire structure can be determined by the numerical analysis for the unit-cell structure [9][10][11][12][13]. According to Bloch's theorem, the response of a multi-celled structure consisting of a periodically repeated unit cell is expressed as the product of a periodic function and a plane wave [10].…”

Section: Introductionmentioning

confidence: 99%

“…Stopband analysis is an iterative eigenvalue analysis of periodic boundary conditions determined by each wave vector. Using stopband analysis of the unit-cell structure, a stopband in which no vibration mode exists for all wave vectors can be calculated, and the vibration is not propagated within the frequency range of the stopband [9][10][11]14].…”

Section: Introductionmentioning

confidence: 99%

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A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

2021

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In this study, an interconnected metamaterial was proposed to suppress flexural vibration. The interconnected metamaterial can improve the manufacturing and installation processes in terms of convenience because it can be fabricated in the form of a modular multi-celled structure with a single-phase material. To evaluate the vibration reduction performance of the metamaterial, stopband analysis was performed, as it solves an iterative eigenvalue problem for the wave vector domain. In order to identify the Bloch mode that contributes to flexural vibration, a concept to extract the Bloch mode based on the modal strain energy was proposed. The vibration-reduction performance of the interconnected metamaterial was numerically verified by using a frequency-response analysis of the multi-celled structure. The interconnected metamaterial proposed in this study was fabricated by using a 3D printer. Finally, the vibration-reduction performance of the multi-celled structure was experimentally verified by using impact testing.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

2021

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“…Recently, the use of a plate-like resonator [6] has been investigated in the context of locally resonant metamaterials (LRMs). In addition to investigating the physics of this kind of resonator, this work highlights the larger design freedom when compared to typical beam-like resonators.…”

Section: Introductionmentioning

confidence: 99%

“…In addition to investigating the physics of this kind of resonator, this work highlights the larger design freedom when compared to typical beam-like resonators. LRM comprises a unit cell that is periodically repeated and achieve the local resonance gap through the interaction of the propagating waves and the resonators [6][7][8][9]. In this work, a plate-like ABH configuration is proposed acting as a multifrequency resonator when attached to a plate undergoing flexural vibration and, therefore, attenuating the broadband vibration of a host plate.…”

Section: Introductionmentioning

confidence: 99%

“…Acoustic black holes have successfully been used as an add-on device to a host beam [10,11] to reduce its vibration in the form of a Resonant Beam Damper (ABH-RBD). However, this approach has not been explored on a plate-on-plate configuration, which presents a richer dynamics when compared to a beam type of resonators [6]. Such configuration can be found in the combination of aircraft fuselage and interior panel, for instance.…”

Section: Introductionmentioning

confidence: 99%

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Broadband vibration attenuation from a one-dimensional acoustic black hole resonator for plate-on-plate structures

Souza

Fabro

Lenzi

2021

J Braz. Soc. Mech. Sci. Eng.

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This paper investigates the vibrational behaviour and attenuation performance of a plate connected to a plate-like resonator equipped with a 1D acoustic black hole. The ABH principle relies on trapping the incident waves and consequently absorbing the incoming mechanical energy. Conversely, the ABH acts as a conventional dynamic absorber in which the vibration modes of the wedge act as a multifrequency resonator when attached to a host structure. The typically added damping layer enriches its dynamic, providing superior attenuation across a broader frequency band. This plate-like resonator can be used as a vibration control alternative to the use of single or multiple resonators attached to the host structure. In this work, a mobility-based approach is used to connect both the host plate and the plate-like resonator with an ABH termination. The response of both structures is given by a Finite Element model implemented by the authors in MATLAB, and the point connections are assumed to be rigid. The results are compared to that of a uniform plate acting as a multifrequency resonator, and it is shown that the ABH-based vibration attenuation leads to a reduction of up to 20 dB across multiple third-octave bands in the mobility response of the coupled system. Additionally, the energy flow is also investigated, and it is shown that the ABH-plate resonator yields up to 50 dB reduction also over multiple third-octave bands in the spatially averaged kinetic energy spectra. The addition of the film of viscoelastic material enhances its attenuation performance by up to 30 dB compared to the geometric effect due to the ABHs. The results suggest that this ABH-based solution can be a viable engineering approach and opens the way for new and innovative solutions in vibration control.

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Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization

Lenders,

Liu,

Kouznetsova

2024

Comput Mech

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This paper introduces a computational homogenization framework for metamaterial plates consisting of locally resonant acoustic metamaterial (LRAM) unit cells. Based on the linearity assumption, the unit cell model is simplified through the superposition of long-wavelength (quasi-static) and local resonant eigenmode solutions. This method results in closed-form expressions describing the macroscale thin plate (shell) with enriched internal variable fields representing the amplitudes of the local resonant eigenmodes. The homogenized macroscopic shell model is implemented using isogeometric analysis, allowing for a straightforward handling of higher-order continuity requirements. Validation against fully-resolved direct numerical simulations (DNS) is conducted, showcasing the capability of the approach in computing the dispersion spectrum of an infinite LRAM plate, as well as performing frequency and time domain analyses of a finite LRAM plate. Results demonstrate that the homogenized enriched plate model accurately predicts wave attenuation within the frequency band-gaps, vibration modes, and wave propagation outside the band-gaps, achieving significantly reduced computational cost compared to DNS. The developed homogenization framework serves as a valuable computational tool for the analysis and design of LRAM panels of finite sizes and arbitrary shape under non-trivial excitations.

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Investigation of flexural wave band gaps in a locally resonant metamaterial with plate-like resonators

Cited by 30 publications

References 31 publications

A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

Broadband vibration attenuation from a one-dimensional acoustic black hole resonator for plate-on-plate structures

Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization

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