Hello khbaur,
now you are whistling my tone!
I mentioned before in this thread that the tension of the diaphragm is directly indicated by it resonance frequency (eigenfrequency). Any impulse on the stretched membrane will activate a vibration in it's eigenferquencies, on a stretcher there will me more than one.
You could also use a loudspeaker with a tuneable output to make the membrane swing in resonance. But in this case you would need to monitor the amplitude (maybe with a laser?
BUT: this would only help you, if you intended to make many of the speakers. For setting up just one (as in DIY) I would not consider this relevant, as the size and shape of the diaphragm will be different for all the different designs.
We first need to define what we expect of tension of the diaphragm:
- prevent the diaphragm to stick to a stator (number one for me) -> the speaker is statically stable
- an interaction of the resonance frequency with the lower audible spectrum while listening? (e.g. bass increase while driving the speaker in a half closed surrounding? -> way beyond my thoughts)
So I suggest to test the diaphragm while being on the stretcher (before gluing) for static stability.
I have not had an idea how to do this in a safe and reliable manor. My thoughts go along the lines of applying an increased bias (maybe 780V [580 bias + 200V amplitude]) to speaker components only pressed (but not glued) to the membrane. But is this, what we want? Unconditionally stable? (I guess, that would be good, considering aging, different amps, air pressure, taking phones off, etc.)
Once you know what you are aiming fore (stability wise) you could use the eigenfrequency as a reference, but only for this one specific speaker design.
Greetings
Georg