Extremely low frequency band gaps of beam-like inertial amplification metamaterials

In this paper, extremely low frequency band gaps of beam-like inertial amplification metamaterials are investigated based on local resonance theory. Inertial amplification mechanism is proposed to obtain extremely low frequency band gaps by altering geometry parameters of the beam-like structures rather than modulating material properties, which allow first lower band gap (BG) to be attained easily compared to traditional local resonance structures. Band structures, frequency response functions (FRFs) plots and vibration modes of the beam-like structures are calculated and analyzed by employing finite element method. Numerical results show that first BG of the structure ranges from 23 Hz to 21 Hz. FRFs are in accordance with the dispersion relationship. It is found that interaction between inertial amplification and traveling wave modes in the proposed structure are responsible for formation of the first BG. This type of beam-like inertial amplification metamaterials has many potential applications in the field of low frequency vibration and noise reduction.

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Low-frequency band gaps within a local resonance structures

Modern Physics Letters B ◽

10.1142/s0217984921500147 ◽

2020 ◽

pp. 2150014

Author(s):

Yong Yan Zhang ◽

Nan Sha Gao ◽

Guang Shen Xu ◽

Jiu Hui Wu ◽

Min Cao ◽

...

Keyword(s):

Large Deformation ◽

Frequency Band ◽

Low Frequency ◽

Band Gaps ◽

Geometric Configuration ◽

Resonance Structure ◽

Noise Attenuation ◽

Resonance Structures ◽

Local Resonance ◽

Potential Applications

Local resonance structure (LRS) can effectively suppress wave transmission, but the design of LRS with tunable band gaps is still a challenge. This work proposes an LRS with two tunable band gaps, where the first bandwidth is successfully enlarged almost five times, and finally a low-frequency broadband with 60–420 Hz is obtained with the second disappearing because of the remarkable modification of band gaps obtained only by adjusting the stiffness rather than by large deformation or changing geometric configuration in traditional methods. The mechanism of tunable band gaps would have important implications for designing metamaterials with broadband, and potential applications for vibration and noise attenuation.

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A single and double slotting radial acoustic metamaterial plate

Modern Physics Letters B ◽

10.1142/s0217984917501287 ◽

2017 ◽

Vol 31 (12) ◽

pp. 1750128

Author(s):

Nansha Gao ◽

Hong Hou ◽

Hang Xin

Keyword(s):

Frequency Band ◽

Rational Design ◽

Low Frequency ◽

Band Gaps ◽

Acoustic Properties ◽

Coupling Mechanism ◽

Displacement Fields ◽

Acoustic Metamaterial ◽

Low Frequency Vibration ◽

Calculation Results

This paper presents the low-frequency acoustic properties of a new single and double slotting radial acoustic metamaterial plate which is arranged in the axial coordinate. The band structures, transmission spectra, and eigenmode displacement fields of this kind of acoustic metamaterial are different from previous studies. Numerical calculation results show that the first-order band gap (BG) of the radial flexible elastic metamaterial plate is below 200 Hz. A multiple-vibration coupling mechanism is proposed to explain the low-frequency band gaps. By changing the geometric parameters a, t, and g, the location and width of the low-frequency band gaps can be varied neatly. In summary, rational design of geometries and materials is the crucial pathway to open and lower BGs, and could restrain low-frequency vibration similarly. This can be used to protect infrasound, generate filters, and design acoustic devices.

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Multi-large low-frequency band gaps in a periodic hybrid structure

Modern Physics Letters B ◽

10.1142/s0217984916501116 ◽

2016 ◽

Vol 30 (08) ◽

pp. 1650116 ◽

Cited By ~ 3

Author(s):

T. Wang ◽

M. P. Sheng ◽

H. B. Guo

Keyword(s):

Frequency Band ◽

Phononic Crystal ◽

Low Frequency ◽

Hybrid Structure ◽

Band Gaps ◽

Response Analysis ◽

Acoustic Metamaterials ◽

Frequency Range ◽

Local Resonance ◽

Small Series

A hybrid structure composed of a local resonance mass and an external oscillator is proposed in this paper for restraining the elastic longitudinal wave propagation. Theoretical model has been established to investigate the dispersion relation and band gaps of the structure. The results show that the hybrid structure can produce multi-band gaps wider than the multi-resonator acoustic metamaterials. It is much easier for the hybrid structure to yield wide and low band gaps by adjusting the mass and stiffness of the external oscillator. Small series spring constant ratio results in low-frequency band gaps, in which the external oscillator acts as a resonator and replaces the original local resonator to hold the band gaps in low frequency range. Compared with the one-dimensional phononic crystal (PC) lattice, a new band gap emerges in lower frequency range in the hybrid structure because of the added local resonance, which will be a significant assistance in low-frequency vibration and noise reduction. Further, harmonic response analysis using finite element method (FEM) has been performed, and results show that elastic longitudinal waves are efficiently forbidden within the band gaps.

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Locally resonant periodic structures with low-frequency band gaps

Journal of Applied Physics ◽

10.1063/1.4816052 ◽

2013 ◽

Vol 114 (3) ◽

pp. 033532 ◽

Cited By ~ 30

Author(s):

Zhibao Cheng ◽

Zhifei Shi ◽

Y. L. Mo ◽

Hongjun Xiang

Keyword(s):

Frequency Band ◽

Periodic Structures ◽

Low Frequency ◽

Band Gaps

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Design of High Precision Power Supply for Low-Frequency Vibration Cutting

Materials Science Forum ◽

10.4028/www.scientific.net/msf.471-472.494 ◽

2004 ◽

Vol 471-472 ◽

pp. 494-497

Author(s):

X.G. Jiang ◽

D.Y. Zhang

Keyword(s):

Power Amplifier ◽

High Precision ◽

Frequency Band ◽

Power Supply ◽

High Stability ◽

Low Frequency ◽

Sine Wave ◽

Vibration Cutting ◽

Low Frequency Vibration ◽

Small Band

The frequency of piezoelectric transducer requires high stability and can also be continuously changed. The voltage requires smooth and stable sine wave. To the two problems, a high precision power supply for vibration cutting is designed. It divides the whole frequency band into several small bands. By means of CPLD, the sine wave is digitally fitted individually at each small band. So the sine wave can be always suitable at a wide frequency band. At the power output, OCL power amplifier is adopted. The output sine voltage becomes smooth and stable by adding voltage negative feedback to the power amplifier. The experiment results show its feasibility.

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Accordion-like metamaterials with tunable ultra-wide low-frequency band gaps

New Journal of Physics ◽

10.1088/1367-2630/aad354 ◽

2018 ◽

Vol 20 (7) ◽

pp. 073051 ◽

Cited By ~ 23

Author(s):

A O Krushynska ◽

A Amendola ◽

F Bosia ◽

C Daraio ◽

N M Pugno ◽

...

Keyword(s):

Frequency Band ◽

Low Frequency ◽

Band Gaps

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Origami-Based Bistable Metastructures for Low-Frequency Vibration Control

Journal of Applied Mechanics ◽

10.1115/1.4049953 ◽

2021 ◽

Vol 88 (5) ◽

Author(s):

Mingkai Zhang ◽

Jinkyu Yang ◽

Rui Zhu

Keyword(s):

Vibration Isolation ◽

Energy Analysis ◽

Geometrical Nonlinearity ◽

Low Frequency ◽

Quantitative Relationship ◽

Vibration Modes ◽

Two Dimensional ◽

Low Frequency Vibration ◽

Dynamic Experiments ◽

Unit Cells

Abstract In this research, we aim to combine origami units with vibration-filtering metastructures. By employing the bistable origami structure as resonant unit cells, we propose metastructures with low-frequency vibration isolation ability. The geometrical nonlinearity of the origami building block is harnessed for the adjustable stiffness of the metastructure’s resonant unit. The quantitative relationship between the overall stiffness and geometric parameter of the origami unit is revealed through the potential energy analysis. Both static and dynamic experiments are conducted on the bistable origami cell and the constructed beam-like metastructure to verify the adjustable stiffness and the tunable vibration isolation zone, respectively. Finally, a two-dimensional (2D) plate-like metastructure is designed and numerically studied for the control of different vibration modes. The proposed origami-based metastructures can be potentially useful in various engineering applications where structures with vibration isolation abilities are appreciated.

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