Hi everyone, I am working on a project for a school in Germany. An acoustical impedance tube is actually quite simple. You have a quality loudspeaker on one end of a rigid tube (ours is 100mm dia. 1.5 meters long of glass) and a movable mostly sealed piston on the other end. Normally, to measure acoustical impedance you put the sample roughly in the middle and put microphones through the glass on either side. You can do a single frequency but then you have to take into account distance and phase. Or you can do white noise and just take several dB measurements and average them. You could even do a FFT and compare them to see how the material responds to different frequencies. To measure reflectance is more difficult but it is not bad.
But this is not how they want me to do it (even though it's simple). I keep telling the PhD student and the professor that it won't work their way. I have a background in audio so I already know quite a bit about this stuff. They want me to use the speaker and no microphones to measure acoustical absorptivity. How you might ask? Well their first idea was to use the speaker somehow to find the resonance of the tube (which I showed you can't do). If you compare the resonance of the tube with and without a damping material inside you could relate that to damping, because in their theoretical world, IN THEORY damping changes the natural frequency. This is not the case, or at least significantly. I guessed that MAYBE there would be an impedance peak in the speaker when the tube is at resonance (it is not the case). It doesn't effect the speaker because air is such a poor coupler.
I also measured the mechanical and electrical properties of the speaker (known as Quality: Qts, Qms and Qes.) Qms is the important one in this case because it represents mechanical damping of the speaker (and the tube which it is coupled with). But comparing a tube stuffed with crap and empty, there was no difference (aside from allowable error). The resonant frequency of the speaker was only modified by the length of the tube (but even then only by a few Hz). This is the way of the audio world. The properties of the speaker are only hugely modified by the shape, construction and design of the enclosure. The damping material inside a well designed enclosure makes very little difference in the electrical properties (of which I am trying to find differences in of course).
So we actually have all kinds of neat equipment. I have a $75,000 vibration analysis tool and software suite. It's very precise and accurate. I wasn't able to find any significant difference in any electrical property of the speaker. But to be fair, the only way I know to measure the electrical properties of the speaker is by basically measuring the voltage across a known resistor (which is in series with the speaker) or measuring the voltage across the speaker itself. With these, you can calculate the impedance of the speaker and the current through the system because the input voltage is constant and the resistor is constant. I keep telling them that this won't work, because everyone who has taken a circuits or mechanical vibrations class knows that with an underdamped system (which this should always be), the amount of damping doesn't significantly change the resonant frequency of the system. The resonant peaks of the tube do not seem to show up in the speaker in any form that I know how to measure.
So I'm sure there is someone out there that has some amazing idea. What do you think? Do you agree with me?
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