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Now let me tell you how to make one at home .
One of the secrets to Superfinishing is variability. you do not want a oscillation that is controlled time wise ( think metronome ) and the more irregular, the better. While commercial machines use rolls of abrasive or stones , a home machine can use a small stone...like a 600 India stone or finer .
p important part is that it is not a rotary unit shaver, these old ones oscillate quite fast ( 500 CPS ?) and vary with load as the vibrators are not strong
Throw the head away and make a adapter to hold a stone ( 1/2 x 1/2 x 4 ?) . My adapter was a small piece of walnut (1 x 2 x 3/8" thick ) that was milled to hold the stone . make the slot about .002 smaller and the wood will hold it. the wood milled so it is retained by the 2 vibrating arms that formerly moved the shaving blades L & R by oscillating them maybe .010-.020 "---perfect for superfinishing
Now when you have a piece in the lathe , rotate the work piece about 100 RPM and set the stone that is exposed from the end of the shaver head on the surface with a bit of oil and watch the surface get really smooth. The stone moves both forward and backward and also oscillates side to side. this criss-crossing knocks all the irregularities down to give a superior surface . If you find an old electric razor , it can be pretty cheap addition to the shop for journal turning .
Keep the rotary speed (lathe) down so you don't crash and run the lathe backward, so any force throws the offender upward and not downward into the carriage/ways. Obviously CARE must be used to keep the stone moving left to right and not hitting a crank throw.
I wrote an article for Model Engine Builder magazine a few years ago about this in magazine issue number 29 which is available pretty cheap on line
https://www.modelenginebuilder.com/
Rich
commercial machines
https://www.aaabrasives.com/shop-man...superfinishers
Description of the process
https://www.supfina.com/products/tec...y/superfinish/
results
https://www.supfina.com/products/sup...hing-machines/