Widening, transition and coalescence of local resonance band gaps in multi-resonator acoustic metamaterials: From unit cells to finite chains

Stein, Adrian; Nouh, M.; Singh, Tarunraj

doi:10.1016/j.jsv.2021.116716

Cited by 38 publications

(6 citation statements)

References 40 publications

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“…Steven et al analyzed a variety of membrane resonators with ring masses and found that a change in the uniformity of the center mass and ring mass distribution increases the total bandwidth of the local resonant transmission loss of the membrane resonator, while increasing the radius of the ring to approach the membrane radius decreases the total bandwidth of the local resonant transmission loss of the membrane resonator [ 34 ]. In contrast, when embedded parallel oscillators are adopted, the resonant frequencies of each oscillator can be designed and adjusted by the desired frequency band without periodic limitations [ 35 ]. Stein et al found that the bandgap of metamaterials can be widened by introducing multiple parallel oscillators [ 36 ].…”

Section: Introductionmentioning

confidence: 99%

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

2023

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This paper reports a plate-type metamaterial designed by arranging unit cells with variable notched cross-sections in a periodical array for broadband high-frequency vibration attenuation in the range of 20 kHz~100 kHz. The dispersion relation and displacement field of the unit cell were calculated by simulation analysis, and the causes of the bandgap were analyzed. By studying the influence of critical structural parameters on the energy band structure, the corresponding structural parameters of a relatively wide bandgap were obtained. Finally, the plate-type metamaterial was designed by arranging unit cells with variable notched cross-sections in the periodical array, and the simulation results show that the vibration attenuation amplitude of the metamaterial can reach 99% in the frequency range of 20 kHz~100 kHz. After fabricating the designed plate-type metamaterial by 3D printing techniques, the characterization of plate-type metamaterial was investigated and the experiment results indicated that an 80% amplitude attenuation can be obtained for the suppression of vibration with the frequency of 20 kHz~100 kHz. The experimental results demonstrate that the periodic arrangement of multi-size cell structures can effectively widen the bandgap and have a vibration attenuation effect in the bandgap range, and the proposed plate-type metamaterial is promising for the vibration attenuation of highly precise equipment.

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Section: Introductionmentioning

confidence: 99%

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

2023

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“…On account of the perfect characteristics of damping the propagation of flexural waves, the periodic structures of acoustics/elastic metamaterials (AMs/EMs) [ 1 , 2 , 3 ] generally are applied in flexural wave control. As a kind of metamaterial, phononic crystals (PCs) [ 4 , 5 ] defined as a new functional material are also receiving substantial attention.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach

Zhang

Chen

et al. 2023

Materials

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This paper employed and developed the wave-based vibration approach to analyze the band-gap characteristics of a locally resonant (LR) beam with L-joint, which is common in engineering practices. Based on the proposed modular approach, where the discontinuities on the beam are created as modules, the design and modeling work for such an LR beam can be simplified considerably. Then, three kinds of LR beams with an L-joint suspended with transverse-force type resonators and two cells of longitudinal-force-moment type resonators are analyzed, respectively, to show their suppression ability on the axial wave’s propagation and widened effect on the low-frequency band-gaps, where the longitudinal-force-moment type resonators at the 3rd–4th cells can better suppress the propagation of the axial waves. Meanwhile, the proposed analysis results are compared with the ones obtained with the finite element method and further verified the accuracy and efficiency of the wave-based vibration approach. The aim of this paper is to provide an efficient method for the analysis and design of the LR beam with L-joint for low-frequency vibration attenuation in engineering practices.

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“…Although bandgaps that can be extended to the low frequency range have been found, the potential of locally resonant band gaps remains unexploited to a large extent as a result of the narrow bandwidth and the high frequency range relative to the frequency range actually required in engineering practice. In order to achieve much broader band gaps than those of a locally resonant beam with periodic oscillators, scholars in this field have done a lot of innovative explorations such as homogeneous beams with multiple arrays of damped resonators [5,6], multiple resonators containing negative-stiffness mechanisms [7] and two-degreeof-freedom uncoupled force-moment type resonators [8][9][10], sandwich beams with multiple dissipative resonators in the sandwich core material [11], and the elastic metamaterial beams in a nonlinear dissipative mass-spring chain [12], with interconnected local resonators [13], with multiple resonators [14][15][16][17][18], with disordered local resonators [19] and with multi-degree-of-freedom hybrid resonators [20] as well as the beam-type metastructures containing a periodic array of single-frequency force resonators [21]. Numerical results show that these innovative measures can effectively increase the bandwidth of the band gaps.…”

Section: Introductionmentioning

confidence: 99%

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

Tang

Ran

Zhang

et al. 2023

Preprint

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Wave propagation and attenuation behaviours of beam-resonators coupling model are dominated by the local resonators and the periodicity. Inspired by bi-periodic structures in engineering practice and based on a previous study, beam models coupled with bi-periodic resonators are proposed by introducing a parametric variant resonator into the periodic model. Wavenumber spectrum relation of the bi-periodic coupling system with a parametric variant resonator and several regular resonators is obtained by means of the method of reverberation-ray matrix and solved by numerical techniques. Effects of various parameters of the parametric variant resonator on the wavenumber spectrum characteristics of the bi-periodic models are investigated in numerical examples, which show that the parametric variant resonator results in an additional resonant peak and extra non-local resonant attenuation bands. Bandwidth of the local resonant attenuation band can be broadened by either increasing the translational stiffness or decreasing the mass of the parametric variant resonator. Compared to wavenumber spectrum curves of the beam model coupled with periodic resonators, the introduction of the parametric variant resonator makes the wavenumber spectrum curves of the real part divided into more curved and straight segments in an alternating presentation. The appearance of extra non-local resonant attenuation bands and the decrease of attenuation performance of the original non-local resonant attenuation bands indicates that the attenuation capability of the non-local resonant attenuation bands is homogenized in the frequency domain for the bi-periodic coupling system. The innovative findings and practical suggestions in the whole frequency range could provide potential references for the researchers and engineers in vibration reduction design of bi-periodic structures in engineering practice.

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Widening, transition and coalescence of local resonance band gaps in multi-resonator acoustic metamaterials: From unit cells to finite chains

Cited by 38 publications

References 40 publications

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

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