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Maximum RPM of a Spinning Disc 1

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Mechdesignron

Mechanical
Mar 6, 2008
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Hello,

I would like to know how to determine the max RPM of a disc. I would think it would be the centrifugal force against the Yeild Strength. Any help would be appreciated.

Thanks,
Ron
 
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Machinery's handbook has had a section on simplified, conservative flywheel design. It has some basic recommendations based on rim speed. Some Materials (cast iron) don't have a yield strength worth mentioning for tensile loading, of which there is plenty in a spinning disk.
 
For an indepth discussion of rotating disc theory a good reference is:

Strength of Materials - Part II - Advanced Theory and Problems - Timoshenko
 
Go with Tim O'Shenko - or Roarks for that matter. As was mentioned above, a flat disk is not the optimum shape for a spinning round thing.... A turbine disk is. :)
 
A flat 1/16" thick polycarbonate disk of ~13" diameter, secured by a small piloted hub and two axial screws, and spun at 3600 rpm or so, despite being balanced, will develop a really interesting taco/flat/taco vibration mode, with extreme deflections in both directions, and make you really glad you used polycarbonate instead of acrylic. It's not the optimal shape.



Mike Halloran
Pembroke Pines, FL, USA
 
We've done something similar. 3/8" thick sandwich of 3 disks of BK7, 6" diameter, spinning 6600 rpm. Truly a sight and sound to behold. We had custom, pre-loaded bearings and some sort of dynamic balancer. One day, after about a month of system integration, the bearing started making a buzz-saw kind of sound. We feared for the worst, and always expected the disk to fly apart into a zillion pieces, but no such luck... After about 3 weeks of that, the sound went away, and we never figured out what the deal was with that. It ran fine until our project was terminated 3 yrs later.

It was extremely well balanced; line of sight jitter was less than 100 microradians (rms).

TTFN

FAQ731-376
 
Mine didn't burst, but the deflection was a lot worse.
When the disk flexed away from the motor, it almost folded on a diameter, and the two halves' edges nearly met, just like a taco shell.
When the disk flexed toward the motor, it hit the motor, which probably limited the speed some.



Mike Halloran
Pembroke Pines, FL, USA
 
Thanks for all the advice, I did order both Roarks and a copy of Strength of Materials - Part II - Advanced Theory and Problems - Timoshenko. Our product is spinning a flat disc, I need to know how fast it can be spun.

Ron
 
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