Author Topic: Mechanical "information" propagation.  (Read 146 times)

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Offline firewalker

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Mechanical "information" propagation.
« on: August 10, 2019, 08:32:49 am »
Let's assume we have a metal rod 1 meter in length. I I push the one end with my finger, what is the time it takes the other end to start moving? The speed of sound in the material divided by the length?

Can this time be measured by sticking two piezo sensors in each end measure the difference of the two pulses generated?

Alexander.
Become a realist, stay a dreamer.

 
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Offline ogden

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Re: Mechanical "information" propagation.
« Reply #1 on: August 10, 2019, 08:46:53 am »
 

Offline T3sl4co1l

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Re: Mechanical "information" propagation.
« Reply #2 on: August 10, 2019, 10:38:53 am »
In the same way that free space has inductance and capacitance (mu_0 ~= 1.257 uH/m, e_0 ~= 8.84 pF/m), and together these define the impedance of free space and the speed of light (Zo = sqrt(mu_0 / e_0), c_o = 1 / sqrt(mu_0 e_0)), so too do the density, and stiffness (elastic modulus), define the acoustic impedance and speed of sound of a bulk material.

There are different kinds of waves in solids, so you need to use the right units (shear modulus <--> shear velocity, etc.), to get the respective wave property.

The best part is, this not only tells you how much the pulses will be delayed, but also how best to connect those piezo discs so the pulse will be strong.  (Namely: matched to a TL of the same impedance as the piezo disc, and placed inline, not just at the end.  The reason is easy to see, if you draw a free-body diagram of the piezo with respect to the pressure and displacement applied to it.  If there's no reaction mass behind it, it's just flapping in the breeze, and will only transmit what pressure is dropped across its thickness, which will not be much at most frequencies.)

Tim
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