Inversion of Chladni patterns by tuning the vibrational acceleration

Abstract

Inverse Chladni patterns, i.e., grains collecting at the antinodes of a resonating plate, are traditionally believed to occur only when the particles are small enough to be carried along by the ambient air. We now show-theoretically and numerically-that air currents are not the only mechanism leading to inverse patterns: When the acceleration of the resonating plate does not exceed g, particles will always roll to the antinodes, irrespective of their size, even in the absence of air. We also explain why this effect has hitherto escaped detection in standard Chladni experiments.

Phase transition and flow-rate behavior of merging granular flows

“…While they are comprised of many particles, their bulk properties exhibit many nonlinear phenomena such as force chains [1], solitons [2], surface waves [3,4], resistance to penetration [5], mixing and segregation [6,7], jamming and clogging [8][9][10][11], granular flow [12][13][14], granular clock [15,16], etc. Dynamic behavior of granular flow is one of the most challenging subjects in this field [17,18].…”

Exploring the resonant vibration of thin plates: Reconstruction of Chladni patterns and determination of resonant wave numbers

“…It is worthwhile to note that when the sizes of sand particles are less than 0.1 mm, the grains may migrate to the antinodes to form the so-called inverse Chladni patterns. 12 Although experiments on inverse Chladni patterns are a new area of research, Chladni nodal line patterns have been widely demonstrated in popular science. 13 Rayleigh originally proposed to analyze the standard Chladni patterns by exploiting the Helmholtz equation instead of the bi-harmonic equation.…”

Near-field acoustic manipulation in a confined evanescent Bessel beam

“…Let us firstly discuss the particle movement in the vicinity of the membrane: do the particles bounce off the plate, roll along it as studied in 22 or do they float in the bulk and are pushed by the acoustic radiation force or streaming flow? For a typical vibration amplitude of the plate estimated to be A~P 0 /(ρ l c l ω) = 50 nm (with P 0 = 20 kPa extrapolated from Fig.…”