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Journal articles on the topic 'Vibration bandgap'

Author: Grafiati

Published: 11 January 2025

Last updated: 31 July 2025

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1

Anigbogu, Winner, and Hamzeh Bardaweel. "A Metamaterial-Inspired Structure for Simultaneous Vibration Attenuation and Energy Harvesting." Shock and Vibration 2020 (June 13, 2020): 1–12. http://dx.doi.org/10.1155/2020/4063025.

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In this article, a magnetomechanical metamaterial structure capable of simultaneous vibration attenuation and energy harvesting is presented. The structure consists of periodically arranged local resonators combining cantilever beams and permanent magnet-coil systems. A prototype of the metamaterial dual-function structure is fabricated, and models are developed. Results show good agreement between model simulation and experiment. Two frequency bandgaps are measured: 205–257 Hz and 587–639 Hz. Within these bandgaps, vibrations are completely attenuated. The level of vibration attenuation in th

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2

Dong, Xingjian, Shuo Wang, Anshuai Wang, et al. "Low-frequency bandgap and vibration suppression mechanism of a novel square hierarchical honeycomb metamaterial." Applied Mathematics and Mechanics 45, no. 10 (2024): 1841–56. http://dx.doi.org/10.1007/s10483-024-3168-7.

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AbstractThe suppression of low-frequency vibration and noise has always been an important issue in a wide range of engineering applications. To address this concern, a novel square hierarchical honeycomb metamaterial capable of reducing low-frequency noise has been developed. By combining Bloch’s theorem with the finite element method, the band structure is calculated. Numerical results indicate that this metamaterial can produce multiple low-frequency bandgaps within 500 Hz, with a bandgap ratio exceeding 50%. The first bandgap spans from 169.57 Hz to 216.42 Hz. To reveal the formation mechan

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3

Liu, Tengfei, and Zhen Lei. "Low-frequency bandgap and tension-compression to twist mode transition of a novel pull-rotation chiral structure." Journal of Physics D: Applied Physics 58, no. 22 (2025): 225301. https://doi.org/10.1088/1361-6463/add1eb.

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Abstract The suppression of low-frequency vibration and noise remains a significant challenge in engineering. In this study, a pull-rotation chiral metamaterial with both structural support and mode conversion properties is innovatively designed based on the wave-mode relationship. The band structure of the metamaterial is systematically investigated using Bloch’s theorem combined with the finite element method. The results demonstrate that the material exhibits multiple low-frequency in-plane mode bandgaps, with bandgap ratios exceeding 50% in the frequency range below 4000 Hz. Vibrational mo

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4

Yang, Fan, Zhaoyang Ma, and Xingming Guo. "Bandgap characteristics analysis and graded design of a novel metamaterial for flexural wave suppression." Applied Mathematics and Mechanics 46, no. 1 (2025): 1–24. https://doi.org/10.1007/s10483-025-3204-7.

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AbstractA novel elastic metamaterial is proposed with the aim of achieving low-frequency broad bandgaps and bandgap regulation. The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem, and the boundary modes of each bandgap are analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the metamaterials with a low elastic modulus of ligaments can generate flexural wave bandgaps below 300 Hz. Multi-frequency vibrations can be suppressed through the selective manipulation of bandgaps. The dual-graded d

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5

Hajhosseini, Mohammad. "Analysis of complete vibration bandgaps in a new periodic lattice model using the differential quadrature method." Journal of Vibration and Control 26, no. 19-20 (2020): 1708–20. http://dx.doi.org/10.1177/1077546320902549.

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In this study, a new periodic lattice model with special vibration-absorbing properties is introduced. This periodic structure consists of the connected beam elements with circular cross-sections. Four models with different sets of cross-sectional radii are considered for this periodic lattice. The theoretical equations of longitudinal, torsional, and transverse vibrations of beams are solved using the combination of generalized differential quadrature and generalized differential quadrature rule methods to calculate the first three complete bandgaps. Investigating the effects of geometrical p

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6

Guo, Peng, and Qizheng Zhou. "An Analytical, Numerical, and Experimental Investigation on Transverse Vibrations of a Finite Locally Resonant Beam." Shock and Vibration 2022 (June 13, 2022): 1–17. http://dx.doi.org/10.1155/2022/6875718.

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An analytical, numerical, and experimental investigation on the transverse vibrations of a finite beam with periodically arrayed beam-like resonators was carried out. A continuous-discrete model of the finite locally resonant beam was established by employing the “mass-spring- mass” subsystem. The analytical solution of the coupling vibration equations was derived based on the modal superposition method, and the analytical expression of average velocity response and vibration transmissibility were given. Then, the minimum periodic number of different units which could result in a bandgap was d

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7

Muhammad, Shoaib, Shuai Wang, Fengming Li, and Chuanzeng Zhang. "Bandgap enhancement of periodic nonuniform metamaterial beams with inertial amplification mechanisms." Journal of Vibration and Control 26, no. 15-16 (2020): 1309–18. http://dx.doi.org/10.1177/1077546319895630.

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The aim of this study was to obtain bandgaps that are much better, that is at lower frequencies and in broader frequency ranges. Novel nonuniform metamaterial beams with periodically variable cross sections and inertial amplification mechanisms are designed and investigated by numerical and experimental methods. Flexural vibration equations of the nonuniform metamaterial beams are established, and the enhanced bandgap and vibration reduction properties are achieved by combining Bragg scattering and the inertial amplification mechanisms. Numerical results of the bandgaps for the periodic elasti

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8

Wei, Wei, Feng Guan, and Xin Fang. "A low-frequency and broadband wave-insulating vibration isolator based on plate-shaped metastructures." Applied Mathematics and Mechanics 45, no. 7 (2024): 1171–88. http://dx.doi.org/10.1007/s10483-024-3160-6.

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AbstractA metamaterial vibration isolator, termed as wave-insulating isolator, is proposed, which preserves enough load-bearing capability and offers ultra-low and broad bandgaps for greatly enhanced wave insulation. It consists of plate-shaped metacells, whose symmetric and antisymmetric local resonant modes offer several low and broad mode bandgaps although the complete bandgap remains high and narrow. The bandgap mechanisms, vibration isolation properties, effects of key parameters, and robustness to complex conditions are clarified. As experimentally demonstrated, the wave-insulating isola

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9

Guo, Zhiwei, Buliang Xie, Meiping Sheng, and Hao Zeng. "Tunable Ultralow-Frequency Bandgaps Based on Locally Resonant Plate with Quasi-Zero-Stiffness Resonators." Applied Sciences 14, no. 4 (2024): 1467. http://dx.doi.org/10.3390/app14041467.

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In order to suppress the transverse vibration of a plate, a quasi-zero-stiffness (QZS) resonator with tunable ultralow frequency bandgaps was introduced and analyzed. The resonator was designed by introducing the quasi-zero-stiffness systems into mass-in-mass resonators. The plane wave expansion method was employed to derive the bandgap characteristics of the locally resonant (LR) plate with QZS resonators, and corresponding simulations were carried out by finite element method (FEM). The results show that an LR plate with a QZS resonator can provide two bandgaps, and the ranges of the bandgap

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10

Yong, Jiawang, Wanting Li, Xiaojun Hu, Zhishuai Wan, Yiyao Dong, and Nenglian Feng. "Co-Design of Mechanical and Vibration Properties of a Star Polygon-Coupled Honeycomb Metamaterial." Applied Sciences 14, no. 3 (2024): 1028. http://dx.doi.org/10.3390/app14031028.

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Based on the concept of component assembly, a novel star polygon-coupled honeycomb metamaterial, which achieves a collaborative improvement in load-bearing capacity and vibration suppression performance, is proposed based on a common polygonal structure. The compression simulation and experiment results show that the load-bearing capacity of the proposed metamaterial is three times more than that of the initial metamaterial. Additionally, metal pins are attached and particle damping is applied to the metamaterial to regulate its bandgap properties; the influence of configuration parameters, in

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11

Han, Wenwen, and Shui Wan. "Flexural Wave Bandgaps in a Prestressed Multisupported Timoshenko Beam with Periodic Inerter-Based Dynamic Vibration Absorbers." Sustainability 15, no. 4 (2023): 3680. http://dx.doi.org/10.3390/su15043680.

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Locally resonant (LR) metamaterial structures possess bandgaps in which wave propagation is significantly attenuated. In this paper, we discuss flexural wave bandgaps in an LR beam subjected to a global axial force and multiple vertical elastic supports. An array of inerter-based dynamic vibration absorbers (IDVAs) was periodically attached to the LR beam. The flexural wave band structure of this prestressed multisupported LR beam was first derived using the transfer matrix method (TMM) and then explicitly illustrated through a numerical example. Four bandgaps were identified: a bandgap locate

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12

Lei, Xiaofei, Peng Chen, Heping Hou, Shanhui Liu, and Peng Liu. "Longitudinal vibration wave in the composite elastic metamaterials containing Bragg structure and local resonator." International Journal of Modern Physics B 34, no. 26 (2020): 2050232. http://dx.doi.org/10.1142/s021797922050232x.

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In this paper, a novel composite acoustical hyperstructure of Bragg structure with local resonator is investigated theoretically for discussing the scattering performance of longitudinal vibration wave, its bandgaps are calculated using the established mathematical model. For confirming the veritable existence of bandgap and verifying the correctness of established mathematical model, the transmission spectrum of composite acoustical hyperstructure is also studied using finite-element method, and comparing the vibration transmission spectrum with bandgaps, the results indicate that the establi

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13

Xining, Zhao, Zhang Yongwang, Li Bo, Shen Chuangshi, Li Zewei, and Zhou Bo. "Active tuning of the vibration and wave propagation properties in electromechanical metamaterial beam." Journal of Applied Physics 132, no. 23 (2022): 234501. http://dx.doi.org/10.1063/5.0122301.

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Locally resonant metamaterial beams made from flexible substrates with piezoelectric layers can exhibit bandgap and vibration attenuation properties. However, the bandgap properties of the electromechanical metamaterials are limited by the electromechanical coupling coefficient. In order to effectively overcome this limitation of the locally resonant bandgaps, a locally resonant electromechanical metamaterial beam with piezoelectric actuators and sensors is presented, and the piezoelectric shunting technique and negative proportional feedback control strategy are combined. In this design, both

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14

Zhang, Shengke, Denghui Qian, Zhiwen Zhang, and Haoran Ge. "Low-Frequency Bandgap Characterization of a Locally Resonant Pentagonal Phononic Crystal Beam Structure." Materials 17, no. 7 (2024): 1702. http://dx.doi.org/10.3390/ma17071702.

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This paper proposes a local resonance-type pentagonal phononic crystal beam structure for practical engineering applications to achieve better vibration and noise reduction. The energy band, transmission curve, and displacement field corresponding to the vibration modes of the structure are calculated based on the finite element method and Bloch-Floquet theorem. Furthermore, an analysis is conducted to understand the mechanism behind the generation of bandgaps. The numerical analysis indicates that the pentagonal unit oscillator creates a low-frequency bandgap between 60–70 Hz and 107–130 Hz.

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15

Qiang, Chenxu, Yuxin Hao, Wei Zhang, Jinqiang Li, Shaowu Yang, and Yuteng Cao. "Bandgaps and vibration isolation of local resonance sandwich-like plate with simply supported overhanging beam." Applied Mathematics and Mechanics 42, no. 11 (2021): 1555–70. http://dx.doi.org/10.1007/s10483-021-2790-7.

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AbstractThe concept of local resonance phononic crystals proposed in recent years provides a new chance for theoretical and technical breakthroughs in the structural vibration reduction. In this paper, a novel sandwich-like plate model with local resonator to acquire specific low-frequency bandgaps is proposed. The core layer of the present local resonator is composed by the simply supported overhanging beam, linear spring and mass block, and well connected with the upper and lower surface panels. The simply supported overhanging beam is free at right end, and an additional linear spring is ad

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16

Jiang, Haowen, and Shuang Yang. "Bending wave bandgap control of a local resonant pipe with a honeycomb thin-wall structure." Journal of Physics: Conference Series 3021, no. 1 (2025): 012070. https://doi.org/10.1088/1742-6596/3021/1/012070.

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Abstract The reduction of low-frequency vibrations in marine vessels has become an important research direction due to their impact on ship performance and comfort. This study addresses vibration issues in ship pipeline systems by proposing a novel honeycomb thin-walled (HTW) vibration damper, aimed at extending the bandgap in the low-frequency range and improving vibration attenuation. Unlike traditional locally resonant photonic crystals (LRPCs), the HTW structure offers enhanced performance by overcoming the limitations of narrow bandgaps and high-frequency operation. A finite element model

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17

SUN, Xuyang, Zhong WANG, Jingjun ZHOU, Qian WANG, and Jingjian XU. "Study on vibration bandgap characteristics of a cantilever beam type local resonance unit." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 42, no. 4 (2024): 643–51. http://dx.doi.org/10.1051/jnwpu/20244240643.

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This article proposes a novel phononic crystal configuration consisting of a through-hole cantilever beam and a mass block, and conducts numerical analysis and experimental verification on the bandgap characteristics of a two-dimensional periodic array plate containing this configuration. The results indicate that there are multiple bending wave band gaps in the proposed structure, and the formation of the bandgap is due to the coupling between elastic waves in the matrix and the resonance characteristics of the local resonant structure. The width of the bandgap is related to the coupling stre

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18

Yang, Fan, Zhaoyang Ma, and Xingming Guo. "Bandgap characteristics of the two-dimensional missing rib lattice structure." Applied Mathematics and Mechanics 43, no. 11 (2022): 1631–40. http://dx.doi.org/10.1007/s10483-022-2923-6.

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AbstractIn this paper, the bandgap characteristics of a missing rib lattice structure composed of beam elements are investigated by using the Floquet-Bloch theorem. The tuning of the width and position of the bandgap is achieved by changing the local structural parameters, i.e., the rotation angle, the short beam length, and the beam thickness. In order to expand the regulation of the bandgap, the influence of the material parameters of the crossed long beams inside the structure on the bandgap is analyzed. The results show that the mass density and stiffness of the structure have significant

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19

Wu, Xudong, Jiaxing Luo, Yixiang Qu, and Cong Zhang. "Bandgap prediction of single cantilever beam piezoelectric phononic crystals." Journal of the Acoustical Society of America 157, no. 4 (2025): 2570–81. https://doi.org/10.1121/10.0036387.

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Piezoelectric phononic crystals (PPCs) exhibit effective control over elastic wave bandgaps, demonstrating applicability in resolving vehicle low-frequency vibration and piezoelectric energy harvesting issues. Targeted modulation of bandgaps constitutes a key research focus in PPCs. Under scenarios involving rapid variations in target frequencies, fast and accurate prediction of bandgap characteristics is critically significant for achieving targeted modulation of bandgaps. This paper proposes a bandgap prediction method for single cantilever beam PPCs, which quantitatively characterizes the c

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20

Zhang, Zhen, Qin Wang, Yu Su, Junwei Tian, Xingang Wang, and Shoumin Wang. "The influence of component defect states on bandgaps of 2D composite beam frame structures." AIP Advances 13, no. 4 (2023): 045220. http://dx.doi.org/10.1063/5.0120259.

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This paper investigates the vibration bandgap properties of two-dimensional (2D) periodic composite beam frame structures with component defects. Combined with the topological characteristics of the structure, a generalized position coordinate system is proposed, and an assembly method of the stiffness matrix for the virtual full component model is presented. Then the spectral equations of motion of the whole 2D periodic composite beam frame structures and the ones with component defects are established. Compared with the frequency-domain solutions calculated using the finite element method, t

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21

Fayyaz, Salem Bashmal, Aamer Nazir, Sikandar Khan, and Abdulrahman Alofi. "Damping Optimization and Energy Absorption of Mechanical Metamaterials for Enhanced Vibration Control Applications: A Critical Review." Polymers 17, no. 2 (2025): 237. https://doi.org/10.3390/polym17020237.

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Metamaterials are pushing the limits of traditional materials and are fascinating frontiers in scientific innovation. Mechanical metamaterials (MMs) are a category of metamaterials that display properties and performances that cannot be realized in conventional materials. Exploring the mechanical properties and various aspects of vibration and damping control is becoming a crucial research area. Their geometries have intricate features inspired by nature, which make them challenging to model and fabricate. The fabrication of MMs has become possible because of the emergence of additive manufact

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22

Liu, Jianing, Jinqiang Li, and Ying Wu. "Bandgap adjustment of a sandwich-like acoustic metamaterial plate with a frequency-displacement feedback control method." Applied Mathematics and Mechanics 45, no. 10 (2024): 1807–20. http://dx.doi.org/10.1007/s10483-024-3167-8.

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AbstractSeveral types of acoustic metamaterials composed of resonant units have been developed to achieve low-frequency bandgaps. In most of these structures, bandgaps are determined by their geometric configurations and material properties. This paper presents a frequency-displacement feedback control method for vibration suppression in a sandwich-like acoustic metamaterial plate. The band structure is theoretically derived using the Hamilton principle and validated by comparing the theoretical calculation results with the finite element simulation results. In this method, the feedback voltag

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23

Tan, Xinyu, Bolong Jiang, Chunyu Qi, et al. "Method for Controlling Full-Frequency Band Environment Vibration by Coordinating Metro Vibration Sources and Propagation Paths." Applied Sciences 13, no. 24 (2023): 12979. http://dx.doi.org/10.3390/app132412979.

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Floating slab tracks (FSTs) are used to reduce the impact of vibration on precision instruments and historical relics along metro lines; however, ground vibration is universally amplified at the natural frequency of the tracks. In this study, a full-frequency control method that considers frequency matching for environmental vibrations, in combination with metro vibration sources and propagation paths, was developed based on the bandgap theory of the periodic structure. The effectiveness of this method was analysed by establishing a three-dimensional metro train–FST coupled model and a finite

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24

Annessi, A., V. Zega, P. Chiariotti, M. Martarelli, and P. Castellini. "An innovative wide and low-frequency bandgap metastructure for vibration isolation." Journal of Applied Physics 132, no. 8 (2022): 084903. http://dx.doi.org/10.1063/5.0102410.

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Engineering the architecture of materials is a new and very promising approach to obtain vibration isolation properties. The biggest challenge for lattice structures exhibiting vibration isolation properties is the trade-off between compactness and wide and low-frequency bandgaps, i.e., frequency ranges where the propagation of elastic or acoustic waves is prohibited. Here, we, both numerically and experimentally, propose and demonstrate a new design concept for compact metamaterials exhibiting extraordinary properties in terms of wide and low frequency bandgap and structural characteristics.

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25

Kao, De-Wei, Jung-San Chen, and Yu-Bin Chen. "Bandgap prediction for a beam containing membrane-arch-mass resonators." Journal of Applied Physics 132, no. 24 (2022): 244902. http://dx.doi.org/10.1063/5.0118530.

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This work aims to propose a promising locally resonating system consisting of a tensioned elastic membrane and two-arch masses attached on the membrane surface. Traditional membrane-type resonators, which usually create one obvious attenuation zone at low frequencies, might not be efficient in multi-frequency vibration suppression. The proposed structure can produce an extra clear flexural attenuation region and shift bandgap frequencies below 300 Hz. By adjusting geometric parameters (thickness, width, and location) of the arch mass, the bandgap region can be tuned. Introducing a feasible ana

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26

Deng, Jianjiao, Jiawei Wu, Xi Chen, et al. "Tandem Neural Network Based Design of Acoustic Metamaterials for Low-Frequency Vibration Reduction in Automobiles." Crystals 15, no. 8 (2025): 676. https://doi.org/10.3390/cryst15080676.

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Automotive NVH (Noise, Vibration, and Harshness) performance significantly impacts driving comfort and traffic safety. Vehicles exhibiting superior NVH characteristics are more likely to achieve consumer acceptance and enhance their competitiveness in the marketplace. In the development of automotive NVH performance, traditional vibration reduction methods have proven to be mature and widely implemented. However, due to constraints related to size and weight, these methods typically address only high-frequency vibration control. Consequently, they struggle to effectively mitigate vehicle body

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27

Gao, Yating, and Hui Wang. "Metamaterial with Perforated Auxetic Core for Ultra-Low-Frequency Vibration Isolation of Lamb Waves." Materials 18, no. 12 (2025): 2857. https://doi.org/10.3390/ma18122857.

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Low-frequency vibration isolation metamaterials (LFVIMs) remain challenging in generating ultra-low-frequency bandgaps around 10 Hz and below. For this issue, a novel LFVIM composed of a square steel auxetic core perforated with orthogonally aligned peanut-shaped holes and a silicone rubber coating is proposed, leveraging the auxetic core’s unique resonance behavior. The superiority in bandgap creation of the peanut-shaped perforations is illustrated by comparing them to elliptical and rectangular perforations. Furthermore, a filled auxetic core is explored as well, to enhance its wave attenua

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28

Gao, Weirui, Qian Zhang, Jie Sun, and Kai Guo. "A novel 3D-printed magnesium alloy phononic crystal with broadband bandgap." Journal of Applied Physics 133, no. 8 (2023): 085103. http://dx.doi.org/10.1063/5.0135770.

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This study proposes a novel approach to designing and fabricating a phononic crystal with embedded high-density resonators from 3D-printed magnesium alloy. The band structure and vibration suppression characteristics of the proposed structure are investigated using theoretical calculations and finite-element analysis. The bandgaps of the proposed phononic crystal are tuned using their superior structural design by changing the resonators. The effects of resonator mass on vibration suppression performance are also studied. The bandgap position and bandwidth are adjusted by changing the geometri

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29

Li, Chengfei, Zhaobo Chen, and Yinghou Jiao. "Vibration and Bandgap Behavior of Sandwich Pyramid Lattice Core Plate with Resonant Rings." Materials 16, no. 7 (2023): 2730. http://dx.doi.org/10.3390/ma16072730.

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The vibration suppression performance of the pyramid lattice core sandwich plates is receiving increasing attention and needs further investigation for technical upgrading of potential engineering applications. Inspired by the localized resonant mechanism of the acoustic metamaterials and considering the integrity of the lattice sandwich plate, we reshaped a sandwich pyramid lattice core with resonant rings (SPLCRR). Finite element (FE) models are built up for the calculations of the dispersion curves and vibration transmission. The validity of the bandgap of the SPLCRR and remarkable vibratio

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30

Guo, Peng, Qi-zheng Zhou, and Zi-yin Luo. "Theoretical and experimental investigation on the low-frequency vibro-acoustic characteristics of a finite locally resonant plate." AIP Advances 12, no. 11 (2022): 115201. http://dx.doi.org/10.1063/5.0121331.

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This study investigates the low-frequency vibro-acoustic characteristics of a finite locally resonant (LR) plate. A dynamic model of the finite LR plate consisting of periodic arrays of beam-like resonators attached to a thin aluminum plate with simply supported boundary conditions is established, and the average vibration response and radiated efficiency are theoretically determined by using modal-superposition and harmonic-balance methods. In addition, the study investigates the influence of the parameters and number of additional resonators on the vibro-acoustic performance of the finite LR

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31

Li, Wenzhen, Quan Zhou, Zanxu Chen, Xi Ye, and Hongfu Wang. "Theoretical modeling and vibration characteristics analysis of acoustic black hole beam." Journal of Physics: Conference Series 2825, no. 1 (2024): 012032. http://dx.doi.org/10.1088/1742-6596/2825/1/012032.

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Abstract Acoustic Black Holes (ABH) can concentrate and capture the energy of waves in specific regions of a structure. They offer significant advantages and application potential in manipulating bending waves and reducing vibrations and noise in thin-walled structures. This paper focuses on the ABH beam structure, employing a semi-analytical method to analyze its vibration characteristics. Firstly, an improved triangular series is used as the displacement-permitting function for the ABH beam. Based on the Ritz method, a semi-analytical model for the ABH beam is established. The modal analysis

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32

Liu, Jiayang, and Shu Li. "A Novel 3D-Printed Negative-Stiffness Lattice Structure with Internal Resonance Characteristics and Tunable Bandgap Properties." Materials 16, no. 24 (2023): 7669. http://dx.doi.org/10.3390/ma16247669.

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The bandgap tuning potential offered by negative-stiffness lattice structures, characterized by their unique mechanical properties, represents a promising and burgeoning field. The potential of large deformations in lattice structures to transition between stable configurations is explored in this study. This transformation offers a novel method for modifying the frequency range of elastic wave attenuation, simultaneously absorbing energy and effectively generating diverse bandgap ranges. In this paper, an enhanced lattice structure is introduced, building upon the foundation of the normal neg

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33

Li, Shuqin, Jing Song, and Jingshun Ren. "Design of a Functionally Graded Material Phonon Crystal Plate and Its Application in a Bridge." Applied Sciences 13, no. 13 (2023): 7677. http://dx.doi.org/10.3390/app13137677.

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In order to alleviate the structural vibrations induced by traffic loads, in this paper, a phonon crystal plate with functionally graded materials is designed based on local resonance theory. The vibration damping performance of the phonon crystal plate is studied via finite element numerical simulation and the band gap is verified via vibration transmission response analysis. Finally, the engineering application mode is simulated to make it have practical engineering application value. The results show that the phonon crystal plate has two complete bandgaps within 0~150 Hz, the initial bandga

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34

Anigbogu, Winner, and Hamzeh Bardaweel. "A Comparative Study and Analysis of Layered-Beam and Single-Beam Metamaterial Structures: Transmissibility Bandgap Development." Applied Sciences 12, no. 15 (2022): 7550. http://dx.doi.org/10.3390/app12157550.

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Recently, layered-beam metamaterial structures have been gaining popularity in a variety of engineering applications including energy harvesting and vibration isolation. While both single-beam metamaterial structures and layered-beam metamaterial structures are capable of generating bandgaps, it is important to understand the limitations of each type of metamaterial structure in order to make informed design decisions. In this article, a comparative study of bandgap development in single-beam metamaterial structures and layered-beam metamaterial structures is presented. The results show that f

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35

Zhao, Caiyou, Liuchong Wang, Dongya Liu, Xing Gao, Xi Sheng, and Wang Ping. "Vibration control mechanism of the metabarrier under train load via numerical simulation." Journal of Vibration and Control 25, no. 19-20 (2019): 2553–66. http://dx.doi.org/10.1177/1077546319866036.

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The problem of ambient vibration caused by rail transit continues to grow, and control effect requirements of different vibration reduction measures are always increasing. A new kind of vibration isolator used for floating slab tracks (FST) has been developed, called a metabarrier. Based on the bandgap properties of phononic crystals, it can realize a better vibration reduction capacity in certain frequency ranges with the same vertical stiffness as the original device. In order to study the vibration reduction characteristics of metabarriers under actual train loading action, two vibration is

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36

Guo, Zhiwei, and Meiping Sheng. "Bandgap of flexural wave in periodic bi-layer beam." Journal of Vibration and Control 24, no. 14 (2016): 2970–85. http://dx.doi.org/10.1177/1077546316640975.

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A periodic bi-layer beam structure is proposed and the bandgap characteristic of flexural wave is studied in this paper. The single cell is made up of two bi-layer beams with four components. For the infinite structure, the flexural wave bandgap frequency algorithm is theoretically derived through Timoshenko beam theory, Hamilton principle, Bloch-Floquet theory and transfer matrix method. An analytical example is presented to illustrate the bandgap characteristic and FEA software simulation is conducted to demonstrate the validation of the algorithm. For the finite structure, the vibration tra

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37

Wu, Kun, Haiyan Hu, and Lifeng Wang. "Optimization of a type of elastic metamaterial for broadband wave suppression." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2251 (2021): 20210337. http://dx.doi.org/10.1098/rspa.2021.0337.

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The optimal design is studied for a type of one-dimensional dissipative metamaterial to achieve broadband wave attenuation at low-frequency ranges. The complex dispersion analysis is made on a super-cell consisting of multiple mass-in-mass unit cells. An optimization algorithm based on the sequential quadratic programming method is used to design the wave suppression of target frequencies by coupling multiple separate narrow bandgaps into a broad bandgap. A new objective function is proposed in the optimization process for a continuous bandgap. Then, the continuous frequency range with low-wav

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Alimohammadi, Hossein, Kristina Vassiljeva, S. Hassan HosseinNia, and Eduard Petlenkov. "Bandgap Dynamics in Locally Resonant Metastructures: A General Theory of Internal Resonator Coupling." Applied Sciences 14, no. 6 (2024): 2447. http://dx.doi.org/10.3390/app14062447.

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The dynamics of metastructures, incorporating both conventional and internally coupled resonators, are investigated to enhance vibration suppression capabilities through a novel mathematical framework. A close-form formulation and a transfer function methodology are introduced, integrating control system theory with metastructure analysis, offering new insights into the role of internal coupling. The findings reveal that precise internal coupling, when matched exactly to the stiffness of the resonator, enables the clear formation of secondary bandgaps, significantly influencing the vibration i

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Akl, Wael, Hajid Alsupie, Sadok Sassi, and Amr M. Baz. "Vibration of Periodic Drill-Strings with Local Sources of Resonance." Vibration 4, no. 3 (2021): 586–601. http://dx.doi.org/10.3390/vibration4030034.

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A new class of drill-strings is proposed for attenuating undesirable vibrations to ensure effective operation. The drill-string is provided with passive periodic inserts, which are integrated with sources of local resonance (LR). The inserts make the drill-string act as a low frequency pass mechanical filter for the transmission of vibration along the drill-string. Proper design of the periodic inserts with sources of LR tend to shift these stop bands towards zones of lower frequencies to enable confining the dominant modes of vibration of the drill-string within these bands. In this manner, p

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He, Qiang, Jingkai Nie, Yu Han, Yi Tian, Chao Fan, and Guangxu Dong. "Investigation on Low Frequency Bandgap of Coupled Double Beam with Quasi-Zero Stiffness for Power Transformer Vibration Control." Shock and Vibration 2022 (December 31, 2022): 1–14. http://dx.doi.org/10.1155/2022/5029189.

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To suppress low frequency vibration and noise generated by power transformer in residential area and achieve environment protection standards, a double-beam metamaterial is proposed, which is fabricated through periodically coupling silicon steel sheet and aluminum beams with Belleville quasi-zero stiffness spring (BQZSS). The double-beam metamaterial can be assembled with iron core of transformers as a whole to obtain the design of a low-noise transformer. Performing static analysis, the mechanical model of BQZSS is established and the relationship between restoring force, stiffness, and disp

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I, Boris, and Jaesun Lee. "Numerical and Experimental Study of Low-Frequency Membrane Damper for Tube Vibration Suppression." Actuators 13, no. 3 (2024): 106. http://dx.doi.org/10.3390/act13030106.

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In modern days, low-frequency vibration is still challenging to suppress due to its high vibrational energy. A typical suppression method is to increase the object’s mass to reduce the amplitude of the vibration, but such a way is unsuitable in many cases. Membrane dampers can potentially eliminate the limitation and offer lightweight and compact damper. The idea is to decrease the stiffness and add additional mass to increase the dissipation of the vibration energy. For that, the membrane and an extra mass made of silicone rubber were used for the damper. Finite element eigenfrequency simulat

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Yong, Jiawang, Yiyao Dong, Zhishuai Wan, Wanting Li, and Yanyan Chen. "Collaborative Design of Static and Vibration Properties of a Novel Re-Entrant Honeycomb Metamaterial." Applied Sciences 14, no. 4 (2024): 1497. http://dx.doi.org/10.3390/app14041497.

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A novel re-entrant honeycomb metamaterial based on 3D-printing technology is proposed by introducing chiral structures into diamond honeycomb metamaterial (DHM), named chiral-diamond-combined honeycomb metamaterial (CDCHM), and has been further optimized using the assembly idea. Compared with the traditional DHM, the CDCHM has better performance in static and vibration isolation. The static and vibration properties of the DHM and CDCHM are investigated by experiments and simulations. The results show that the CDCHM has a higher load-carrying capacity than that of the DHM. In addition, the vibr

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Han, Donghai, Qi Jia, Yuanyu Gao, et al. "Local resonance metamaterial-based integrated design for suppressing longitudinal and transverse waves in fluid-conveying pipes." Applied Mathematics and Mechanics 45, no. 10 (2024): 1821–40. http://dx.doi.org/10.1007/s10483-024-3166-8.

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AbstractTo solve the problem of low broadband multi-directional vibration control of fluid-conveying pipes, a novel metamaterial periodic structure with multi-directional wide bandgaps is proposed. First, an integrated design method is proposed for the longitudinal and transverse wave control of fluid-conveying pipes, and a novel periodic structure unit model is constructed for vibration reduction. Based on the bandgap vibration reduction mechanism of the acoustic metamaterial periodic structure, the material parameters, structural parameters, and the arrangement interval of the periodic struc

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Shu, Hai-Sheng, Xing-Guo Wang, Ru Liu, et al. "Bandgap analysis of cylindrical shells of generalized phononic crystals by transfer matrix method." International Journal of Modern Physics B 29, no. 24 (2015): 1550176. http://dx.doi.org/10.1142/s0217979215501763.

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Based on the concept of generalized phononic crystals (GPCs), a type of 1D cylindrical shell of generalized phononic crystals (CS-GPCs) where two kinds of homogeneous materials are arranged periodically along radial direction was proposed in this paper. On the basis of radial, torsional shear and axial shear vibrational equations of cylindrical shell, the total transfer matrix of mechanical state vector were set up respectively, and the bandgap phenomena of these three type waves were disclosed by using the method of transfer matrix eigenvalue of mechanical state vector instead of the previous

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Gao, Xu, Jiyuan Wei, Jiajing Huo, Zhishuai Wan, and Ying Li. "The Vibration Isolation Design of a Re-Entrant Negative Poisson’s Ratio Metamaterial." Applied Sciences 13, no. 16 (2023): 9442. http://dx.doi.org/10.3390/app13169442.

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An improved re-entrant negative Poisson’s ratio metamaterial based on a combination of 3D printing and machining is proposed. The improved metamaterial exhibits a superior load-carrying and vibration isolation capacity compared to its traditional counterpart. The bandgap of the proposed metamaterial can be easily tailored through various assemblies. Additionally, particle damping is introduced to enhance the diversity of bandgap design, improve structural damping performance, and achieve better vibration isolation at low and medium frequencies. An experiment and simulation were conducted to as

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Gao, Xing-Lin, Xiao-Wei Sun, Ren-Sheng Li, Mao-Ting Tan, Ting Song, and Yi-Wen Wang. "The low-frequency bandgap characteristics of phononic crystal isolators with multi-hole." Journal of Vibration and Control, June 17, 2024. http://dx.doi.org/10.1177/10775463241262121.

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A vibration isolator for a floating slab track, based on a locally resonant phononic crystal, has been designed to suppress vibrations caused by the wheel-rail interaction. In this isolator, a circular vibrator is connected to a connector through a rubber layer uniformly embedded in holes. The finite element method is utilized to compute the energy band structure and transmission loss of the vibration isolator, while the mechanism of bandgap is elucidated through the analysis of modes. The static stiffness and dynamic stiffness of the vibration isolator are calculated, which proves that the vi

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Chen, Zexin, Shida Jin, Shuaishuai Sun, et al. "A new inerter-based acoustic metamaterial MRE isolator with low-frequency bandgap." Smart Materials and Structures, November 2, 2024. http://dx.doi.org/10.1088/1361-665x/ad8e1e.

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Abstract Acoustic metamaterials are capable of generating vibration bandgaps at specific frequency ranges, which makes them have good applications in the field of vibration isolation. To further broaden the vibration bandgaps, both magnetorheological elastomer (MRE) and graded stiffness are employed to enhance the bandgap properties. However, lowering the vibration bandgap is usually accompanied with excessive reduction of the structure stiffness. Except for reducing the stiffness, increasing the mass of the acoustic metamaterial can also lower the bandgap. In this research, a novel inerter-ba

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Zhang, Benben, Linchang Miao, Tianshuang Geng, and Jing Zhang. "Comparative analysis of bandgap characteristics of single-and double-layer ring-like multi-oscillator locally resonant phononic crystals." Modern Physics Letters B, November 27, 2024. http://dx.doi.org/10.1142/s021798492550054x.

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Phononic crystals (PCs) harbor the potential to be applied to low-frequency elastic vibration wave control for its intrinsic bandgap property, but the development of conventional single-oscillator locally resonant phononic crystals (SOLRPCs) in the field of low-frequency vibration modulation is restricted by the narrow range of the bandgap. To this end, in this study, single- and double-layer ring-like multi-oscillator locally resonant phononic crystals (referred to as SL-RMLRPCs and DL-RMLRPCs) are constructed to broaden the overall characteristics of the bandgap at the level of the number an

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Das, Sachchidanand, Kush Dwivedi, Sabareesh Geetha Rajasekharan, and Yendluri V. Daseswara Rao. "Vibration attenuation and bandgap characteristics in plates with periodic cavities." Journal of Vibration and Control, June 5, 2020, 107754632093374. http://dx.doi.org/10.1177/1077546320933745.

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Plates with periodic cavities show excellent vibration attenuation characteristics. This behavior can be attributed to the presence of frequency bandgaps on account of interference between the incident wave and the reflected wave from the cavities. The present work investigates the vibration attenuation/bandgap characteristics of plates with varying shapes of periodic cavities, such as square, circular, vertical rectangle, and horizontal rectangle, through experiments and simulation. Vibration responses of different periodic plates have been studied by carrying out frequency sweep on a vibrati

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Zheng, Xuan, Yabin Jin, Runcheng Cai, Timon Rabczuk, Hehua Zhu, and Xiaoying Zhuang. "Elastic surface wave attenuation in layered soil by metastructures." Low-carbon Materials and Green Construction 2, no. 1 (2024). http://dx.doi.org/10.1007/s44242-024-00037-7.

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AbstractSeismic metastructures are able to effectively attenuate or convert elastic surface waves, attracting increasing attention in different areas such as civil engineering. However, the effects of the source depth and layered characteristics of viscous soil on metastructures for elastic surface wave reduction with Bragg bandgap mechanism remain challenging, which are the key issues for practical applications. In this work, we calculate the dispersion and transmission of metastructures in layered soil and confirm that the metastructures can effectively attenuate the elastic surface waves wi

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