An Inertant Elastic Metamaterial Plate With Extra Wide Low-Frequency Flexural Band Gaps

2020 ◽  
Vol 88 (2) ◽  
Author(s):  
Xiang Fang ◽  
Kuo-Chih Chuang ◽  
Xiao-Ling Jin ◽  
Dan-Feng Wang ◽  
Zhi-Long Huang
Keyword(s):  
Vibration Suppression ◽  
Low Frequency ◽  
Wide Band ◽  
Band Gaps ◽  
Flexural Wave ◽  
Additional Degree ◽  
Periodic Arrays ◽  
Low Frequency Vibration ◽  
Elastic Metamaterial Plate ◽  
Engineering Vibration

Abstract Arranging inerter arrays in designing metamaterials can achieve low-frequency vibration suppression even with a small configuration mass. In this work, we investigate flexural wave bandgap properties of an elastic metamaterial plate with periodic arrays of inerter-based dynamic vibration absorbers (IDVAs). By extending the plane wave expansion (PWE) method, the inertant elastic metamaterial plate is explicitly formulated in which the interactions of the attached IDVAs and the host plate are considered. Due to the additional degree-of-freedom induced by each IDVA, multiple band gaps are obtained. Along the ΓX direction, the inertant elastic metamaterial plate exhibits two locally resonant (LR) band gaps and one Bragg (BG) band gap. In contrast, along the ΓM direction, two adjacent LR band gaps are obtained. Detailed parametric analyses are conducted to investigate the relationships between the flexural wave bandgap properties and the structural inertant parameters. With a dissipative mechanism added to the IDVAs, extremely wide band gaps in different directions can be further generated. Finally, by adopting an effective added mass technique in the finite element method, displacement transmission and vibration modes of a finite inertant elastic metamaterial plate are obtained. Our investigation indicates that the proposed inertant elastic metamaterial plate has extra-wide low-frequency flexural band gaps and therefore has potential applications in engineering vibration prohibition.

scholarly journals Low-Frequency Vibration and Radiation Performance of a Locally Resonant Plate Attached with Periodic Multiple Resonators

2020 ◽  
Vol 10 (8) ◽  
pp. 2843
Author(s):  
Qi Qin ◽  
Meiping Sheng ◽  
Zhiwei Guo
Keyword(s):  
Boundary Conditions ◽  
Band Gap ◽  
Low Frequency ◽  
Expansion Method ◽  
Acoustic Power ◽  
Radiation Efficiency ◽  
Band Gaps ◽  
Periodic Arrays ◽  
Low Frequency Vibration ◽  
The One

The low-frequency vibration and radiation performance of a locally resonant (LR) plate with periodic multiple resonators is studied in this paper, with both infinite and finite structure properties examined. For the finite cases, taking the LR plate attached with two periodic arrays of resonators as an example, the forced vibration response and the radiation efficiency are theoretically derived by adopting a general model with elastic boundary conditions. Through a comparison with the band structures calculated by the plane-wave-expansion method, it shows that the band gaps in the infinite LR plate are in good agreement with the vibration-attenuation bands in the finite LR plate, no matter what boundary conditions are applied to the latter. In contrast to the vibration reduction in the band gaps, the radiation efficiency of the finite LR plate is sharply increased in the band-gap frequency ranges. Furthermore, the acoustic power radiated from the finite LR plate can be seriously affected by its boundary conditions. For the LR plate with greater constraints, the acoustic power is reduced in the band-gap frequency ranges, while that from the one with fully free boundary conditions is increased. When further considering the damping loss factors of the resonators, the attenuation performance can be improved for both the vibration and radiation of the LR plate.

Flexural wave band gaps in a multi-resonator elastic metamaterial plate using Kirchhoff-Love theory

2019 ◽  
Vol 116 ◽  
pp. 480-504 ◽  
Author(s):  
E.J.P. Miranda ◽  
E.D. Nobrega ◽  
A.H.R. Ferreira ◽  
J.M.C. Dos Santos
Keyword(s):  
Band Gaps ◽  
Flexural Wave ◽  
Wave Band ◽  
Elastic Metamaterial Plate

Acoustic Barriers Based on Sonic Crystals

2007 ◽  
Author(s):  
V. Romero-Garci´a ◽  
E. Fuster-Garcia ◽  
L. M. Garci´a-Raffi ◽  
J. V. Sa´nchez-Pe´rez
Keyword(s):  
Geometric Distribution ◽  
Free Field ◽  
Low Frequency ◽  
Optimization Methods ◽  
Band Gaps ◽  
High Symmetry ◽  
Low Frequencies ◽  
Periodic Arrays ◽  
Sonic Crystals ◽  
High Sound

Environmental noise problems become an standard topic across the years. Acoustic barriers have been purposed as a possible solution because they can act creating an acoustic attenuation zone which depends on the sound frequency, reducing the sound transmission through it. It was demonstrated that at high sound frequencies the effect of the barriers is more pronounced than at low frequencies, due to the diffraction in their edges. Sonic Crystals (SCs) are periodic arrays of scatterers embedded in a host material with strong modulation of its physical properties, that produces band gaps attenuation in frequencies related with their geometry. These frequencies are explained by the well known Bragg’s diffraction inside the crystal. SCs present different high symmetry directions, where the Bragg’s peaks appears in different frequencies ranges due to the variation of the geometry in each direction. Recently, some authors have studied the possibility to use SCs to reduce noise in free-field condition. Also, it was showed that SCs built by trees are acoustic systems that present acoustic band gaps in low frequency range due to the geometric distribution of the trees. These results led us think that these structures are a suitable device to reduce noise, this means SCs could be use as acoustic barriers. Nevertheless the technological application of these devices for controlling the noise present some problems. First, the angular dependence of the frequencies attenuated when the sound impinges over the SC. Second, the fact that the necessary space to put the SC is bigger than in the case of the traditional acoustic barriers. Finally, the necessity of some robust and long-lasting materials to use them outdoors. In this paper we show the possibility to use different materials (rigid, mixed or soft) to make scatterers, explaining their advantages or disadvantages. These materials in conjunction with some optimization methods will allow us find some solutions to the problems mentioned above. We will relate both acoustic systems, acoustic barriers and SCs, making a comparison of the main properties of each one and then, we will present the technological possibilities to design acoustic barriers based on SCs.

Flexural wave band gaps in locally resonant elastic metamaterial plate using Reissner-Mindlin theory

2019 ◽  
Author(s):  
Anderson Ferreira ◽  
Jose Maria Campos dos Santos ◽  
Edilson Dantas Nóbrega ◽  
Edson Jansen Pedrosa de Miranda Junior
Keyword(s):  
Band Gaps ◽  
Flexural Wave ◽  
Wave Band ◽  
Elastic Metamaterial Plate

Mechanism of band gaps in self-similar triangular lattice with Koch fractal

2021 ◽  
pp. 1-17
Author(s):  
Pengcheng Zhao ◽  
Cheng Zhao ◽  
Kai Zhang ◽  
Zichen Deng
Keyword(s):  
Finite Element ◽  
Triangular Lattice ◽  
Vibration Suppression ◽  
Low Frequency ◽  
Band Gaps ◽  
Band Edge ◽  
Periodic Lattice ◽  
Finite Element Software ◽  
Iteration Number ◽  
Koch Fractal

Abstract Fractal lattice is a kind of lattices with multifunctional physical characteristics and superior mechanical properties. The wave propagation of the triangular lattice with Koch fractal is calculated by the finite element method and Bloch theorem. The effects of the iteration number on the band gaps and the band edge modes are studied. The finite element software was used to simulate the dynamic response of the triangular lattice with Koch fractal for verifying the vibration suppression performance. The results show that the triangular lattice with Koch fractal can produce multiple and low-frequency band gaps. As an increase of the iteration number, the band gap gradually shifts to a lower frequency. By comparing and analyzing the band edge modes and the eigenmodes of Koch fractal, the mechanisms of the band gaps within the low-frequency ranges are analyzed and discussed in detail. Additionally, the band edge modes exhibit similar vibration modes. Finally, the simulation results of the finite lattice verify the broadband vibration suppression performance of the triangular lattice with Koch fractal. This work provides insights into the lattice dynamic behavior adjusted by Koch fractal, which is beneficial to the periodic lattice for suppressing vibration in engineering applications.

Low-frequency vibration suppression of a multi-layered elastic metamaterial shaft with discretized scatters

2018 ◽  
Vol 52 (5) ◽  
pp. 055105 ◽  
Author(s):  
Lixia Li ◽  
Ruixiang Lv ◽  
Anjiang Cai ◽  
Miaoxia Xie ◽  
Yangyang Chen ◽  
...  
Keyword(s):  
Vibration Suppression ◽  
Low Frequency ◽  
Low Frequency Vibration

Analysis of vibration band gaps in an Euler–Bernoulli beam with periodic arrays of meander-shaped beams

2018 ◽  
Vol 25 (1) ◽  
pp. 41-51 ◽  
Author(s):  
Mohammad Hajhosseini ◽  
Saeed Ebrahimi
Keyword(s):  
Adomian Decomposition Method ◽  
Wide Band ◽  
Band Gaps ◽  
Geometrical Parameters ◽  
Vibration Band ◽  
Bernoulli Beam ◽  
Periodic Arrays ◽  
Beam Elements ◽  
Adomian Decomposition ◽  
Euler Bernoulli Beam

In this study, an Euler–Bernoulli beam carrying periodic arrays of meander-shaped beams is introduced. Each meander-shaped beam consists of several connected beam elements. Two models with different number of beam elements are considered. In each model, the effects of geometrical parameters on the lower and upper edges of the first three band gaps are investigated using the Adomian decomposition method. Results show that the wide band gaps at low frequency ranges can be obtained by changing the geometrical parameters. Furthermore, the band gaps are very close to each other for specific values of the geometrical parameters. Another advantage of this periodic beam is that its length is shorter than other types of periodic beams. These features make this periodic beam very useful in different applications of the band gap phenomenon such as vibration absorption. The finite element simulation (ANSYS software) is used to validate the analytical results and good agreement is found.

Fluid Power Control of a Hyper-Active Seat for Low-Frequency Vibration Suppression

2004 ◽  
Vol 37 (22) ◽  
pp. 501-506
Author(s):  
Samuel Klooster ◽  
Kris Kozak ◽  
Joshua Vaughan ◽  
Peter Sanders ◽  
William Singhose
Keyword(s):  
Power Control ◽  
Vibration Suppression ◽  
Low Frequency ◽  
Fluid Power ◽  
Low Frequency Vibration

PERFECT OPTICAL TRANSPORT AND OPTICAL BAND GAP IN QUASIPERIODIC SUPERLATTICES

2012 ◽  
Vol 26 (17) ◽  
pp. 1250110
Author(s):  
XIA YU ◽  
KE-QIU CHEN ◽  
YAN ZHANG
Keyword(s):  
Refractive Index ◽  
Band Gap ◽  
Optical Band Gap ◽  
Negative Refractive Index ◽  
Low Frequency ◽  
Wide Band ◽  
Band Gaps ◽  
Transmission Coefficients ◽  
Refractive Index Material ◽  
Superlattice Structures

A three-component quasiperiodic superlattice structures composing of both positive and negative refractive index materials are shown to display resonant transport behavior and optical band gaps. When the structure is composed of nondispersive refractive index material, the number of the resonant transmission peaks increases and the optical band gap becomes broad with the increasing of the medium generation. The band gap covers all the wavelength except for some singular wavelength points when the structure is composed of negative refractive index materials. Moreover, it is found that the spectrum shifts to low frequency for oblique incidence. And with the increasing of the optical thickness, the band gap splits and new perfect transport channels emerge. For a more realistic dispersive negative refractive index material, the transmission coefficients are characterized by a rich transmission profile without symmetry, more wide band gaps and abundance transmissive channels appear.

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