A brief review of metamaterials for opening low-frequency band gaps

Wang, Kai; Zhou, Jiaxi; Tan, Debao; Li, Zeyi; Lin, Qida; Xu, Daolin

doi:10.1007/s10483-022-2870-9

Cited by 38 publications

(5 citation statements)

References 125 publications

(157 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…aroused considerable attention and research [2][3][4][5][6]. In general, scatterers in PCs must exhibit precise periodicity to produce Bragg scattering bandgaps.…”

Section: Introductionmentioning

confidence: 99%

A locally resonant metamaterial beam with tunable electromagnetic stiffness based on the electromechanical analogy network

Deng,

He,

et al. 2024

Smart Mater. Struct.

View full text Add to dashboard Cite

Locally resonant acoustic metamaterials offer distinctive advantages in controlling low-frequency elastic waves. However, passive structures often face limitations due to narrow bandgaps and fixed working band once they are fabricated. This paper introduces a novel metamaterial beam with tunable bandgaps. This achievement is made possible by employing one electromagnet and three permanent magnets to create an electromagnetic spring. The initial stiffness, provided by the spiral beam, collaborates with the electromagnetic components to establish a local resonant unite cell featuring tunable composite stiffness. Subsequently, an analogy network is formulated for the metamaterial beam based on electromechanical analogy theory. This network not only elucidates the generation mechanism and regulatory principles of bandgaps but also serves as a paradigm for the proactive design of the metamaterial beam with external control sources, particularly under finite period conditions. Finally, theoretical analysis and experimental results collectively demonstrate the flexibility of the proposed metamaterial beam in effectively suppressing low-frequency elastic waves across a wide frequency range.

show abstract

“…aroused considerable attention and research [2][3][4][5][6]. In general, scatterers in PCs must exhibit precise periodicity to produce Bragg scattering bandgaps.…”

Section: Introductionmentioning

confidence: 99%

A locally resonant metamaterial beam with tunable electromagnetic stiffness based on the electromechanical analogy network

Deng,

He,

et al. 2024

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…Since the vibration of the track structure and underlying soil induced by HSR trains differs notably from those caused by lowspeed trains, numerical methods such as the 3D/2.5D finite element method (FEM) [21,22], the FEM-combining boundary element method (FEM-BEM) [23], TLM-perfectly matched layers (TLM-PML) [24], and some hybrid methods [25] have been proposed. Furthermore, nowadays, with the development of metamaterials, a general view related to low-frequency band gaps concentrated on metamaterials has been presented [26].…”

Section: Introductionmentioning

confidence: 99%

Experimental Analysis and Machine Learning of Ground Vibrations Caused by an Elevated High-Speed Railway Based on Random Forest and Bayesian Optimization

Cao,

Li,

Xiang

et al. 2023

Sustainability

View full text Add to dashboard Cite

With the aim of predicting the environmental vibrations induced by an elevated high-speed railway, a machine learning method was developed by combining a random forest algorithm and Bayesian optimization, using a dataset from on-site experiments. When it comes to achieving a rapid and effective prediction of environmental vibrations, there is little research on comparisons between and verifications of different algorithms, and none on the parameter tuning and optimization of machine learning algorithms. In this paper, a field experiment is firstly carried out to measure the ground vibrations caused by high-speed trains running on a bridge, and then the environmental vibration characteristics are analyzed in view of ground accelerations and weighted vibration levels. Subsequently, three machine learning algorithms using linear regression, support vector machine, and random forest are developed using an experimental database, and their prediction performance is discussed. Finally, two optimization models for the hyperparameter set of the random forest algorithm are further compared. The results show that the integrated random forest algorithm has a higher accuracy in predicting environmental vibrations than linear regression and the support vector machine; the Bayesian optimization has an excellent performance and a high efficiency in achieving efficient and in-depth optimization of parameters and can be combined with the RF machine learning algorithm to effectively predict the environmental vibrations induced by the high-speed railway.

show abstract

“…Hence, the NES has been used to resolve the issue on vibration attenuation in the fields of mechanical engineering [20][21][22][23][24][25] , aerospace engineering [26][27][28][29][30] , and civil engineering [31][32] . Furthermore, new structures or materials based on the principle of NES were also constructed to obtain desired properties of vibration suppression [33][34][35] . The distinct characteristics of vibration reduction by the NES could be referred to the comprehensive and insightful review by Ding and Chen [36] .…”

Section: Introductionmentioning

confidence: 99%

Fractional nonlinear energy sinks

Zhang

Zhou

Ding

et al. 2023

Appl. Math. Mech.-Engl. Ed.

Self Cite

View full text Add to dashboard Cite

The cubic or third-power (TP) nonlinear energy sink (NES) has been proven to be an effective method for vibration suppression, owing to the occurrence of targeted energy transfer (TET). However, TET is unable to be triggered by the low initial energy input, and thus the TP NES would get failed under low-amplitude vibration. To resolve this issue, a new type of NES with fractional nonlinearity, e.g., one-third-power (OTP) nonlinearity, is proposed. The dynamic behaviors of a linear oscillator (LO) with an OTP NES are investigated numerically, and then both the TET feature and the vibration attenuation performance are evaluated. Moreover, an analogy circuit is established, and the circuit simulations are carried out to verify the design concept of the OTP NES. It is found that the threshold for TET of the OTP NES is two orders of magnitude smaller than that of the TP NES. The parametric analysis shows that a heavier mass or a lower stiffness coefficient of the NES is beneficial to the occurrence of TET in the OTP NES system. Additionally, significant energy transfer is usually accompanied with efficient energy dissipation. Consequently, the OTP NES can realize TET under low initial input energy, which should be a promising approach for micro-vibration suppression.

show abstract

A brief review of metamaterials for opening low-frequency band gaps

Cited by 38 publications

References 125 publications

A locally resonant metamaterial beam with tunable electromagnetic stiffness based on the electromechanical analogy network

A locally resonant metamaterial beam with tunable electromagnetic stiffness based on the electromechanical analogy network

Experimental Analysis and Machine Learning of Ground Vibrations Caused by an Elevated High-Speed Railway Based on Random Forest and Bayesian Optimization

Fractional nonlinear energy sinks

Contact Info

Product

Resources

About