Physics of rack-and-pinion-inspired metamaterials with rotational resonators for broadband vibration suppression

Shirazi, Ali Heidari; Sedighi, Hamid M.

doi:10.1140/epjp/s13360-020-00286-y

Cited by 5 publications

(5 citation statements)

References 27 publications

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“…A new elastic metamaterial design was proposed based on the rack-and-pinion mechanism by Shirazi and Sedighi. 69 The design process included a fundamental model with a single resonator and a developed model with multiple rotational resonators (see Figure 72). The whole model system composed of an array of cells acting as the rack.…”

Section: Bandwidth Setting Of Local Resonance Metamaterialsmentioning

confidence: 99%

“…For instance, a metamaterial-based absorber proposed by Alkurt et al. 70 has a dielectric as a substrate layer covered by a prevented copper plate. This innovative structure might be used as a microwave image detector, which removes noise, and cells are often utilized in various areas like energy harvesting, incident wave tracing, crack detection, spy device detection, and medical imaging.…”

Section: Ongoing Researchmentioning

confidence: 99%

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Metamaterials and their applications: An overview

Valipour

Kargozarfard

Rakhshi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Metamaterials are man-made substances with unique spatial alternations in their constituent components. They are widely used in modifying elastic, acoustic, or electromagnetic properties of materials. Metamaterials induce low/high-frequency band gaps to control wave propagations with different wavelengths and are also frequently applied in microwave engineering, waveguides, dispersion compensation, smart antennas, and lenses. For instance, permittivity and permeability of the metamaterials can take positive or negative values. Due to smaller single-cell dimensions than their wavelength, the selective frequency of surface-based metamaterials is used for waveguiding. The need for adjustable bandgaps can also lead to a plethora of research into metamaterials’ tunability for structures that operate at different speeds. In this article, recent studies in the field of metamaterials and their applications are reviewed. The piezoelectric metamaterials and the electromagnetic metamaterials are introduced that is followed by a review of new types of chiral metamaterials. Additionally, absorber, nonlinear, terahertz, tunable, photonic, selective surface-based frequency in acoustic metamaterials are comparedand some remarks on tuning bandgaps methods in locally resonant metamaterials are provided.

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Section: Bandwidth Setting Of Local Resonance Metamaterialsmentioning

confidence: 99%

Section: Ongoing Researchmentioning

confidence: 99%

Metamaterials and their applications: An overview

Valipour

Kargozarfard

Rakhshi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

Self Cite

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“…where x ∘ n and θ ∘ are the steady-state amplitude of the solution, qa is the phase factor, and nrepresents the periodic number. Moreover, a.n indicates the distance between nthcell from the origin (support) [18][19][20][21][22]. Substituting Equations ( 6) into ( 5), the new form of the governing equation in its matrix form is as follows:…”

Section: One Dof Model Of Emmmentioning

confidence: 99%

“…is area is the first Brillouin zone's boundary. Hence, substituting qa � π and qa � 0 into Equations ( 10) and (11), and then solving these expressions, the starting and ending frequencies of the bandgaps for the 1DOF model are extracted [1,20].…”

Section: One Dof Model Of Emmmentioning

confidence: 99%

A Novel Elastic Metamaterial with Multiple Resonators for Vibration Suppression

Nooraldinvand

Sedighi

Yaghootian

2021

Advances in Condensed Matter Physics

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In this paper, two models of elastic metamaterial containing one and two resonators are proposed to obtain the bandgaps with the aim of providing broadband vibration suppression. The model with one DOF is built by assembling several unite cells in which each unite cell consists of a rectangular frame as the base structure and a rack-and-pinion mechanism that is joined to the frame with a linear spring on both sides. In the second model with two DOF, a small mass is added while its center is attached to the center of the pinion on one side and the other side is connected to the rectangular frame via a linear spring. In the first mechanism, the pinion is considered as the single resonator, and in the 2DOF model, on the other hand, the pinion and small mass acted as multiple resonators. By obtaining the governing equations of motion for a single cell in each model, the dynamic behavior of two metastructures is thoroughly investigated. Therefore, the equations of motion for the two models are written in matrix form, and then, the dispersion relations are presented to analyze the influences of system parameters on the bandgaps’ starting/ending frequencies. Finally, two models are successfully compared and then numerically simulated via MATLAB-SIMULINK and MSC-ADAMS software. With the aid of closed-form expressions for starting/ending frequencies, the correlation between the system parameters and bandgap intervals can be readily recognized.

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“…It is interesting to explore the influence of the connection behavior of linkage mechanism on the band gaps. Some researchers have investigated the influence of elastic boundaries on the vibrational characteristics of metamaterials, such as simulating elastic boundary conditions with torsion springs [38,39], or connecting torsion springs to periodic plates [40,41] and angle beams [42] to analyze wave transmission properties. Presenting the elastic elements based on the meta-structure with linkage mechanism and discussing how the elastic connections affect the band gaps and vibration isolation effectiveness are essential.…”

Section: Introductionmentioning

confidence: 99%

A novel frog-like meta-structure with linkage mechanism for low-frequency vibration isolation

Li,

Wang,

Chai

et al. 2024

J. Phys. D: Appl. Phys.

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Structures with linkage mechanism, which could be widely seen in engineering, usually need to bear a certain load and exhibit ideal vibration isolation performance. One of the key factors affecting the mechanical and vibration properties is the connection behavior of the linkage mechanism. To clarify its influence on the vibration characteristics, a novel frog-like meta-structure by introducing a linkage mechanism into the conventional locally resonant metamaterial with a mass-spring resonator is proposed in the present paper, in which the linkage connection is considered as three types of hinged, fixed and elastic, respectively. The equivalent dynamic model of the meta-structure is established theoretically to calculate the effective material properties, which is then validated numerically through band gap and vibration analysis. The results show that the hinged linkage offers equivalent mass and free vertical displacement, while the fixed linkage provides supporting stiffness, shifting the band gap towards higher frequencies. An appropriate elastic connection can enhance the “spring-vibrator” effect, which in turn can significantly expand the low-frequency vibration suppression range of the structure. Experiments are also conducted corresponding to the different linkage mechanisms, and the dynamic model is verified. This study could provide a new idea for promoting the application of the locally resonant meta-structure with a linkage mechanism in the field of low-frequency vibration isolation.

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Physics of rack-and-pinion-inspired metamaterials with rotational resonators for broadband vibration suppression

Cited by 5 publications

References 27 publications

Metamaterials and their applications: An overview

Metamaterials and their applications: An overview

A Novel Elastic Metamaterial with Multiple Resonators for Vibration Suppression

A novel frog-like meta-structure with linkage mechanism for low-frequency vibration isolation

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