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Geometry Of Evacuated Membranes

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Posted by Matthew Brackman on October 27, 2000 17:13:59 UTC

Hi Folks -

Just found this site and W.O.W. nice to see some folks thinking about the same things I am.

Here's an idea I had but don't know enough math to figure it out. Maybe someone else does:

If one end of a large diameter, sealed tube or short height, (think snare drum) is covered with a thin sheet of mylar and then evacuated, what is the resulting geometry of the mylar surface? Spheroid or parabolic? What if the mylar is on an elastic (rubber/polymer) substrate? What if it is evacated AND spun? What if the center point of the sheet is secured by a "wire" to the opposing tube end, THEN spun and not evacuated?

Since the goal is to find a natural process to take the work out of grind, casting else can we let nautral processes do the work?

Any thoughts would be welcomed.

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