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....
[...]
40 citations
38 citations
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....
[...]
...Lawney and Luding [15] examined a 1-...
[...]
...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....
[...]
...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....
[...]
...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-...
[...]
References
1,203 citations
"Frequency filtering in disordered g..." refers methods in this paper
...The numerical results are plotted with the analytical result for a perfect chain as given by Sheng [45],...
[...]
...The numerical results are plotted with the analytical result for a perfect chain as given by Sheng [45], ρ(ω) ∼ 1√ 4 − ω2 ....
[...]
694 citations
"Frequency filtering in disordered g..." refers background in this paper
...In the context of quantum mechanical particles, Anderson [1] noted the localization of the wavefunctions in the presence of sufficiently strong random potentials....
[...]
...This “Anderson localization” has been confirmed in disordered mechanical systems of vibrating masses [23,41]....
[...]
...This so-called Anderson localization has been observed in many physical contexts including mechanical systems of vibrating masses [23,41]....
[...]
664 citations
"Frequency filtering in disordered g..." refers background in this paper
...Linear arrangements of harmonic oscillators are common in the introduction to lattice vibrations in solid state physics [12,50]....
[...]
514 citations
429 citations
"Frequency filtering in disordered g..." refers background in this paper
...One-dimensional analogs of electronic, magnetic, and mechanical systems are often employed for their use as simple models which have the potential to reveal the physics of more general, higher-dimensional systems [25]....
[...]