scholarly journals Mass‐in‐mass lattices with small internal resonators

2020 ◽  
Vol 146 (1) ◽  
pp. 81-98
Author(s):  
Fazel Hadadifard ◽  
J. Douglas Wright
Keyword(s):  
Internal Resonators

Wave propagation in viscoelastic phononic crystal rods with internal resonators

2018 ◽  
Vol 141 ◽  
pp. 382-392 ◽  
Author(s):  
Jia Lou ◽  
Liwen He ◽  
Jie Yang ◽  
Sritawat Kitipornchai ◽  
Huaping Wu
Keyword(s):  
Wave Propagation ◽  
Phononic Crystal ◽  
Internal Resonators

A novel meta-lattice sandwich structure for dynamic load mitigation

2017 ◽  
Vol 21 (6) ◽  
pp. 1880-1905 ◽  
Author(s):  
Bing Li ◽  
Yongquan Liu ◽  
Kwek-Tze Tan
Keyword(s):  
Energy Absorption ◽  
Frequency Band ◽  
Dynamic Load ◽  
Sandwich Structure ◽  
Wave Attenuation ◽  
Band Gaps ◽  
Mass Model ◽  
Resonant Behavior ◽  
The Impact ◽  
Internal Resonators

In this article, a novel meta-lattice sandwich structure is proposed and designed for impulsive wave attenuation and dynamic load mitigation. This original meta-lattice truss core sandwich structure has a similar configuration as a normal lattice sandwich structure, except that its truss bars are composed of meta-lattice truss unit cells. The design philosophy of locally resonant elastic metamaterials is integrated into the meta-lattice truss unit cell whereby a relatively heavier metal core (the resonator) is coated with a soft material layer (rubber coat), which is then connected to an outer shell. Based on this unique construction, several frequency band gaps are created by the locally resonant behavior of the specially designed resonators, in which stress waves within the stopping band gaps are not able to propagate through the material. Analytical spring-mass model is employed to predict the frequency band gaps, whereas numerical finite element simulation is utilized to model the continuum structure under impulsive loadings. The impact response, wave attenuation, and stress distribution contours between normal sandwich structure and meta-lattice sandwich structure are compared and analyzed. The mechanisms of wave mitigation and energy absorption by the internal resonators are thoroughly investigated. Results evidently show that the proposed meta-lattice sandwich structure has a more superior ability for impact mitigation and higher kinetic energy absorption capability due to the locally resonant behavior of the internal resonators.

Negative Effective Mass Density of One-Dimensional Hierarchical Metacomposite

2015 ◽  
Vol 82 (3) ◽  
Author(s):  
Xiyue An ◽  
Fangfang Sun ◽  
Peishi Yu ◽  
Hualin Fan ◽  
Shiping He ◽  
...  
Keyword(s):  
Effective Mass ◽  
Mass Density ◽  
Rigid Bodies ◽  
Band Gaps ◽  
Mass Ratio ◽  
One Dimensional ◽  
Negative Effective Mass ◽  
Specific Frequency ◽  
The Relationship ◽  
Internal Resonators

A theoretical model of one-dimensional (1D) hierarchical metacomposite with internal resonators was proposed to generate negative effective mass over specific frequency ranges. Different from the single-resonator microstructure, the current hierarchical metamaterial with multilevel resonators was constructed by a series of springs and rigid bodies. The general formula of the current hierarchical metamaterial model was induced to reveal the relationship between the effective mass and the forcing frequency. It is found that the hierarchical metamaterial with multilevel resonators generates multifrequency band gaps with negative effective masses. The number of the band gaps equals to the order of the hierarchy. The total bandwidth for the negative effective mass increases with the hierarchy, meanwhile increasing the mass ratio can also obviously increase the bandwidth generating negative effective mass.

The Effects of Cubic Stiffness Nonlinearity on the Attenuation Bandwidth of 1D Elasto-Dynamic Metamaterials

2016 ◽  
Author(s):  
Arnab Banerjee ◽  
Emilio P. Calius ◽  
Raj Das
Keyword(s):  
Real Life ◽  
Excitation Amplitude ◽  
Frequency Range ◽  
Excitation Spectra ◽  
Frequency Spectra ◽  
Transmission Zone ◽  
Narrow Frequency Range ◽  
Linear Resonance ◽  
Internal Resonators ◽  
Cubic Stiffness

Metamaterials demonstrate unique frequency dependent responses due to the presence of internal resonators; hence, it can be used to filter, absorb, cloak, or otherwise manipulate waves in unique ways. However, its applicability is normally limited to a very narrow frequency range (bandwidth) due to a dependency on linear resonance. The applications of these linear metamaterials are limited when used under the broadband excitation spectra that are common in real life applications. This paper numerically investigates the effect of introducing the two main classes of Duffing type cubic nonlinearities, namely monostable and bistable, on the attenuation bandwidth of an elasto-dynamic metamaterial. From the analysis, it is found that the attenuation bandwidth of a bistable nonlinear system is two to three times wider than that of an equivalent linear system; whereas, in case of a monostable system the bandwidth is remained same. In both cases, the attenuation bandwidth shifts towards the higher end of the frequency spectra and for higher nonlinearity and excitation amplitude, second transmission zone completely vanishes.

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