A review on application of mechanical metamaterials for vibration control

Dalela, Srajan; Balaji, P. S.; Jena, D.P.

doi:10.1080/15376494.2021.1892244

Cited by 116 publications

(24 citation statements)

References 127 publications

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“…Mechanical metamaterials are engineered structures [4,12,15,19,54,59] whose macroscopic properties are primarily controlled by their geometry and may differ considerably from those of their building blocks [16,30,33,39,55]. In recent years, there has been a lot of interest in nonlinear dynamic response of flexible mechanical metamaterials, a new class of engineered materials that exploit large deformation and mechanical instabilities of their components to yield a desired collective response [4,22].…”

Section: Introductionmentioning

confidence: 99%

Discrete breathers in a mechanical metamaterial

Duran¹,

Cuevas-Maraver²,

Kevrekidis³

et al. 2022

Preprint

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We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure of the model, we identify parameter regimes in which this system may possess discrete breather solutions with frequencies inside the gap between optical and acoustic dispersion bands. We compute numerically exact solutions of this type for several different parameter regimes and investigate their properties and stability. Our findings demonstrate that upon appropriate parameter tuning within experimentally tractable ranges, the system exhibits a plethora of discrete breathers, with multiple branches of solutions that feature period-doubling and symmetrybreaking bifurcations, in addition to other mechanisms of stability change such as saddlecenter and Hamiltonian Hopf bifurcations. The relevant stability analysis is corroborated by direct numerical computations examining the dynamical properties of the system and paving the way for potential further experimental exploration of this rich nonlinear dynamical lattice setting.

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Section: Introductionmentioning

confidence: 99%

Discrete breathers in a mechanical metamaterial

Duran¹,

Cuevas-Maraver²,

Kevrekidis³

et al. 2022

Preprint

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“…In aerospace and aviation applications, vibration is a significant cause of concern particularly for lightweight aircraft and spacecraft structures, as it can result in numerous disasters, system performance degradation, human discomfort, and even catastrophic failures [18,19]. Conventional elastic materials, such as rubber and other polymers, can attenuate high-frequency vibrations well, but require greater thickness for low-frequency vibration attenuation, which unfortunately increases the overall weight of the engineering structures [20,21].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty analysis of quasi-zero stiffness metastructure for vibration isolation performance

Wang

Zhao²,

Ma³

et al. 2022

Front. Phys.

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Quasi-zero stiffness (QZS) metamaterials and metastructures have great advantages of being highly integrable and lightweight for vibration isolation in aerospace and aviation applications. However, the geometric uncertainty introduced from additive manufacturing (AM) significantly affects the metamaterial/metastructure’s vibration isolation performance and therefore, needs to be evaluated accurately and efficiently in the design process. In this study, a high-order sparse Chebyshev polynomial expansion (HOSPSCPE) method is first utilized to quantify the influence of AM-induced geometric uncertainty in the QZS microstructure. Excellent accuracy and much higher efficiency (about 470 times faster) of the proposed method are observed when compared to the widely used Monte Carlo method (MCM). Uncertainty analyses are then conducted for vibration isolation performance of the QZS metastructures and band gap properties of the QZS locally resonant metamaterials, respectively. The numerical results demonstrate that the geometric uncertainty analysis can provide useful guidance and recommendations for the manufacturing-influenced design of QZS metastructures and metamaterials.

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“…A comprehensive overview of materials and their applications was published by [6] while [7] explored metamaterials for vibration control. Local resonators (LR) is based on the concept of mechanical dynamic vibration absorbers (DVAs) [1,8].…”

Section: Introductionmentioning

confidence: 99%

Multi-Frequency Broadband Vibration Mitigation of a Beam Under Tensile Load

Machado

Dutkiewicz

2022

Preprint

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The vibration characterization is directly associated with the system’s physical properties, such as mass, damping, and stiffness. For over a century, vibration resonator or dynamic absorber has been used for vibration control and mitigation in many sectors of engineering. A limitation of this device is that it acts as a notch filter, which is only effective over a narrow band of frequencies. Therefore, researchers have designed the call metamaterial, which in this case, targets the improvement of vibration attenuation and induces locally resonant bandgaps. This work investigates the broadband vibration mitigation of a beam under tensile load with periodically attached dynamic absorbers. The study uses the modal analysis approach, a simple formulation that only depends on the resonator target frequency and total mass ratio to investigate single and multiple-frequency bandgap formation. Metamaterial and rainbow metamaterial beam under tensile load are employed to widen the gap. In practical designs, a finite number of resonators is required for the open bandgap, and this ideal number is explored in the paper. Additionally, a tensiled beam (cable) virtual twin is built from a physical system to forecast its broadband vibration mitigation with the metamaterial approach. Numerical investigations are conducted regarding the effects of mass ratio and the ideal mass ratio on the open and on the gap convergence, as well as resonators in single and multiple arrangements inducing multiple gaps.

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A review on application of mechanical metamaterials for vibration control

Cited by 116 publications

References 127 publications

Discrete breathers in a mechanical metamaterial

Discrete breathers in a mechanical metamaterial

Uncertainty analysis of quasi-zero stiffness metastructure for vibration isolation performance

Multi-Frequency Broadband Vibration Mitigation of a Beam Under Tensile Load

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