Frequency filtering in disordered granular chains
Citations
43 citations
Cites background from "Frequency filtering in disordered g..."
...This confirms that frequency filtering occurs as a function of the wave travelling through a granular system as noted by [49,50] and others....
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24 citations
Cites background from "Frequency filtering in disordered g..."
...The FCC sample consisted of 3200 particles (4 × 4 × 200 layers) and so is equivalent to that considered by Mouraille et al. [19] and Mouraille and Luding [12]; it was created by considering the lattice geometry of the packing....
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...Lawney and Luding [15] examined a 1-...
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...Santamarina and Aloufi [10] and Santamarina et al. [11] related the maximum transmitted frequency ( flow−pass) and the associated wavelength (λlow−pass) to particle size, while Mouraille and Luding [12] related λlow−pass to the layer spacing....
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...Santamarina et al. [11] and Santamarina and Aloufi [10] assumed the particle diameter to be an internal scale ( α) of granular materials where λlow−pass = 2α, while Mouraille and Luding [12] took α to be the layer distance for a FCC sample, i.e. α = √2R....
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...D chain model, Lawney and Luding [15] showed that the low-frequency eigenmodes are not affected by small random variations in particle mass. Somfai et al. [30] considered a 2-...
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References
389 citations
374 citations
"Frequency filtering in disordered g..." refers background in this paper
...[43] provide a detailed account of prior studies concerning solitary waves in granular chains....
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...subject to very little pre-compression (approaching Nesterenko’s sonic vacuum) [11,37,43], the length scale of the particle-size perturbation and the contact overlap length scale would be of the same order and strong nonlinearities could be introduced....
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307 citations
"Frequency filtering in disordered g..." refers background in this paper
...Analysis of the spectrum and density of eigenstates was the subject of many early studies in disordered one-dimensional systems [4,8,33,42]....
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270 citations
"Frequency filtering in disordered g..." refers background in this paper
..., deliberate insertion of different sized masses) [10,13,14,27] tapering [5,32,47,49] and controlled variation of the particle material [3,15]....
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233 citations
"Frequency filtering in disordered g..." refers background in this paper
...[16] report experimental studies on ultrasound propagation through three-dimensional packings of glass beads....
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