Particle sizing by quantitative acoustic emission

Buttle, D.J.; Martin, Scott M.; Scruby, C. B.

doi:10.1007/bf01606508

Cited by 5 publications

(10 citation statements)

References 7 publications

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“…Here we comment the errors on our estimation of the impactor's masses from measured seismic signals in Figure 10. These errors are greater than that of Buttle et al [1991] who managed to size submillimetric particles in a stream with a standard deviation less than 10%. However, their estimations were based on the impact force and duration on the direct compressive wave, measured at the opposite of the impact on the target block.…”

Section: Errors On the Estimation Of The Masses And Impact Speedsmentioning

confidence: 71%

“…The dynamics of impact can be described at first order by the classical model proposed by Hertz [1882] that gives the analytical expression of the force of impact of an elastic sphere on a solid elastic surface [see Johnson, 1985]. From the comparison of the impact forces and durations measured from the emitted seismic signal with that predicted by Hertz [1882], Buttle and Scruby [1990] and Buttle et al [1991] managed to retrieve the diameter of submillimetrical particles impacting a thick block. However, their computation was based on the direct compressive wave, measured at the opposite of the impact on the target block.…”

Section: Introductionmentioning

confidence: 99%

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Characterization of rockfalls from seismic signal: Insights from laboratory experiments

et al. 2015

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The seismic signals generated by rockfalls can provide information on their dynamics and location. However, the lack of field observations makes it difficult to establish clear relationships between the characteristics of the signal and the source. In this study, scaling laws are derived from analytical impact models to relate the mass and the speed of an individual impactor to the radiated elastic energy and the frequency content of the emitted seismic signal. It appears that the radiated elastic energy and frequencies decrease when the impact is viscoelastic or elastoplastic compared to the case of an elastic impact. The scaling laws are validated with laboratory experiments of impacts of beads and gravels on smooth thin plates and rough thick blocks. Regardless of the involved materials, the masses and speeds of the impactors are retrieved from seismic measurements within a factor of 3. A quantitative energy budget of the impacts is established. On smooth thin plates, the lost energy is either radiated in elastic waves or dissipated in viscoelasticity when the impactor is large or small with respect to the plate thickness, respectively. In contrast, on rough thick blocks, the elastic energy radiation represents less than 5% of the lost energy. Most of the energy is lost in plastic deformation or rotation modes of the bead owing to surface roughness. Finally, we estimate the elastic energy radiated during field scale rockfalls experiments. This energy is shown to be proportional to the boulder mass, in agreement with the theoretical scaling laws.

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Section: Errors On the Estimation Of The Masses And Impact Speedsmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Characterization of rockfalls from seismic signal: Insights from laboratory experiments

et al. 2015

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“…Finally, acoustic measurements can be useful in industry for particle sizing in powder transport and in particle streams [e.g. 18,19]. However, the PSD does not provide an absolute estimate of the elastic energy radiated by the source because it depends on the distance of measurement.…”

Section: Introductionmentioning

confidence: 99%

“…19) and we retrieve the conservation equation (B.15) with a different coefficientτ = ρc 2 S /ηω 2 ,with c S , the shear wave speed. Practically, the waves propagating in thin plates and thicks blocks are a complex combination of longitudinal and transversal waves.…”

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confidence: 99%

Experimental validation of theoretical methods to estimate the energy radiated by elastic waves during an impact

Farin

Mangeney

Rosny

et al. 2016

Journal of Sound and Vibration

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To be published in Journal of Sound and VibrationEstimating the energy lost in elastic waves during an impact is an important problem in seismology and in industry. We propose three complementary methods to estimate the elastic energy radiated by bead impacts on thin plates and thick blocks from the generated vibration. The first two methods are based on the direct wave front and are shown to be equivalent. The third method makes use of the diffuse regime. These methods are tested for laboratory experiments of impacts and are shown to give the same results, with error bars from 40% to 300% for impacts on a smooth plate and on a rough block, respectively. We show that these methods are relevant to establish the energy budget of an impact. On plates of glass and PMMA, the radiated elastic energy increases from 2% to almost 100% of the total energy lost as the bead diameter approaches the plate thickness. The rest of the lost energy is dissipated by viscoelasticity. For beads larger than the plate thickness, plastic deformation occurs and reduces the amount of energy radiated in the form of elastic waves. On a concrete block, the energy dissipation during the impact is principally inelastic because only 0.2% to 2% of the energy lost by the bead is transported by elastic waves. The radiated elastic energy estimated with the presented methods is quantitatively validated by Hertz's model of elastic impact

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“…Some early efforts have been made to relate certain characteristic parameters of the AE signal to the particle size [7][8][9][10]. Most studies have used AE parameters in the time domain such as peak amplitude, energy, rise time and duration to deduce the size information.…”

Section: Introductionmentioning

confidence: 99%

Investigations into the sensing mechanism of acoustic emission sensors for particle size measurement in a particular case: normal incidence

Zhang

Yan

et al. 2021

Meas. Sci. Technol.

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Particle sizing by quantitative acoustic emission

Cited by 5 publications

References 7 publications

Characterization of rockfalls from seismic signal: Insights from laboratory experiments

Characterization of rockfalls from seismic signal: Insights from laboratory experiments

Experimental validation of theoretical methods to estimate the energy radiated by elastic waves during an impact

Investigations into the sensing mechanism of acoustic emission sensors for particle size measurement in a particular case: normal incidence

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