Journal ArticleDOI
Frequency graded 1D metamaterials: A study on the attenuation bands
TLDR
In this article, the attenuation bandwidth in a one-dimensional finite chain with frequency graded linear internal resonators was investigated and it was shown that a properly tuned frequency graded arrangement of resonating units can extend the upper part of the attenuated band theoretically up to infinity and also increase the lower part of attenuation band by around 40% of an equivalent uniformly periodic metamaterial without increasing the mass.Abstract:
Depending on the frequency, waves can either propagate (transmission band) or be attenuated (attenuation band) while travelling through a one-dimensional spring-mass chain with internal resonators. The literature on wave propagation through a 1D mass-in-mass chain is vast and continues to proliferate because of its versatile applicability in condensed matter physics, optics, chemistry, acoustics, and mechanics. However, in all these areas, a uniformly periodic arrangement of identical linear resonating units is normally used which limits the attenuation band to a narrow frequency range. To counter this limitation of linear uniformly periodic metamaterials, the attenuation bandwidth in a one-dimensional finite chain with frequency graded linear internal resonators are investigated in this paper. The result shows that a properly tuned frequency graded arrangement of resonating units can extend the upper part of the attenuation band of 1D metamaterial theoretically up to infinity and also increases the lower part of the attenuation bandwidth by around 40% of an equivalent uniformly periodic metamaterial without increasing the mass. Therefore, the frequency graded metamaterials can be a potential solution towards low frequency and wideband acoustic or vibration insulation. In addition, this paper provides analytical expressions for the attenuation and transmission frequency limits for a periodic mass-in-mass metamaterial and demonstrates the attenuation band is generated by the high absolute value of the effective mass not only due to the negative effective mass.read more
Citations
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Journal ArticleDOI
Metamaterial beam with graded local resonators for broadband vibration suppression
TL;DR: In this paper, the authors investigated a technique for broadband vibration suppression using a graded metamaterial beam, where a series of local resonators with the same mass but different natural frequencies are attached to the beam, and a design strategy was proposed, and used to tune the frequency spacing to get a wide attenuation region.
Journal ArticleDOI
Bandgap widening by disorder in rainbow metamaterials
TL;DR: In this paper, a tunable heterogeneous plate endowed with reconfigurable families of pillars is studied and it is shown that both the spectrum of resonant frequencies of the pillars and their spatial arrangement influence the filtering characteristics of the system.
Journal ArticleDOI
Waves in Structured Mediums or Metamaterials: A Review
TL;DR: In this article, the authors compared the bandwidth of one-dimensional periodic structures for wave propagation in the non-dimensional domain and compared the effects of different parameters, such as damping, stiffness and mass ratios, nonlinearity, on the bandwidth.
Journal ArticleDOI
Internally coupled metamaterial beam for simultaneous vibration suppression and low frequency energy harvesting
Guobiao Hu,Lihua Tang,Raj Das +2 more
TL;DR: In this article, a modified metamaterial beam was proposed for simultaneous vibration suppression and energy harvesting, where local resonators were alternately coupled and each resonator was associated with a piezoelectric element for converting vibrations into electrical energy.
References
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