Granular Conveyor -- Granular Material acts as a liquid?

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Discussion Overview

The discussion revolves around the behavior of glass beads on a vibrating granular conveyor at varying frequencies. Participants explore the transition of the beads from erratic bouncing to collective liquid-like behavior as the frequency increases, particularly above 120 Hz. The conversation includes experimental observations and seeks to understand the underlying mechanisms of this phenomenon.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that at frequencies below 120 Hz, the beads behave erratically, while at higher frequencies, they appear to act collectively like a liquid.
  • Another participant suggests that the conveyor's surface may behave similarly to a speaker's surface, which can change modes at different frequencies.
  • A participant questions the consistency of the displacement amplitude across different frequencies, proposing that the transition might relate to the amplitude being comparable to the diameter of the beads.
  • There is a mention of the coupling between electrical and mechanical systems, raising concerns about whether the actual amplitude of the conveyor remains steady across frequencies.
  • Another participant inquires about the maximum mechanical surface velocity at 120 Hz and whether the behavior is influenced by transducer resonance or surface acceleration.

Areas of Agreement / Disagreement

Participants express various hypotheses regarding the observed behavior of the beads, but there is no consensus on the underlying reasons for the transition to liquid-like behavior. Multiple competing views and questions remain unresolved.

Contextual Notes

Participants highlight potential limitations in understanding the relationship between frequency, amplitude, and the behavior of the beads, indicating that further investigation is needed to clarify these aspects.

ADB_Glasgow
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TL;DR
My final year experiment involves vibrating a granular conveyor with the same amplitude at at different frequencies.
My final year experiment involves vibrating a granular conveyor with the same amplitude at at different frequencies. (See picture for experiment set-up).
Between 5-115 Hz, the glass beads bounce erratically. As soon as the frequency hits 120Hz or higher, the beads remain on the surface, and can be seen behaving collectively as a liquid. I am however struggling to find a reason why this is the case.
Any ideas of why the beads behave as a liquid when the frequency is higher?
Cheers!
 

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Do you have images of the two behaviors?
 
Yes no probem.
'Granular Conveyor_1' is at 5Hz, and all the glass beads are gather together at the bottom of the conveyor.
'GC_70Hz' is the granular conveyor at 70 Hz. Notice the glass beads are spread out across the surface and jumping around erratically.
'GC_135Hz' is the granular conveyor at 135 Hz. he glass beads have now spread out fairly evenly across the surface and are not erratically jumping around.
I am however struggling to find a reason why this is the case. Any ideas of why the beads behave as a liquid when the frequency is higher?
Cheers!
 

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  • GC_70Hz.jpg
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  • GC_135Hz.jpg
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  • Granular Conveyor_1.jpg
    Granular Conveyor_1.jpg
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That's an interesting question. My guess is that the conveyer's surface is behaving like the surface of the speaker in the video below. As you can see, at certain frequencies the surface resembles an egg crate. As other frequencies, it hops from one vibrating mode to another.

An ultra slow motion video of the conveyor and beads may make it clear.

Edit: A second video

 
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Thanks for pictures. I see the amplitude is characterized by a driving voltage. Do you know for certain what the actual displacement amplitude of the conveyer is (i.e. is it really the same at different frequencies for a given voltage). I guess one way to know would be to examine the frequency dependence at different fixed pp voltages. So what do you know?
(My first thought is that the transition would occur when the shake amplitude is similar to ball diameter...which is in fact similar to the step size ... I am not expert in this field...but I have thought about atoms scattering on rough surfaces previously)
 
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ADB_Glasgow said:
Summary:: My final year experiment involves vibrating a granular conveyor with the same amplitude at at different frequencies.
On the pictures there is something that says "Amplitude = 50mVpp".
I assume that is the amplitude of the voltage applied to electronics of the vibrating table, which I would guess is that round white thing.

Coupling between electrical / mechanical systems will not mean that the table itself has a steady amplitude in meters peak-to-peak , as one moves through the electrical frequency spectrum.
 
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For a fixed mechanical amplitude, the velocity of the surface is proportional to frequency.
What is the maximum mechanical surface velocity at 120 Hz ?
Is it a transducer resonance affected by the load? Change the load to test.
Is it surface acceleration that is important ?
 
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