Hibbeler Problem 16-102 Planetary Gears
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A planetary gearset inspired by Hibbeler Dynamics 14th Ed. Chapter 16 Problem 102. As drawn, this problem appears to be mechanically locked, and looks as though no motion is possible. However, if the depth of the ring gear and planet gear is such that they don't interact, rotation is possible. https://www.youtube.com/watch?v=BLJBSVU6nNA I believe this problem was an oversight in the Hibbeler book, but, it is possible with this arrangement. Two versions of the Fusion 360 archive are provided. Note: it is modeled as-dimensioned in the problem. Scale it down to 25% to print. At 25% scale, the holes in the gear components are sized for M4 heat set inserts, the link arm is sized for M4 socket head screws. I glue the screws into the inserts so all parts of the assembly can pivot at the link arm. The assembly has quite a bit of clearance, so I upped the extrusion rate a bit on the functional one. Hints for printing gears in general: shut off gap fill, and use MagicGoo. Gear teeth love to peel up. To shut off gap fill in PrusaSlicer, set the Gap Fill speed to 0. (This is very unintiuitive). In normal Slic3r there is a check box for this. Make sure the flat side is down on all of your gears. Based on Involute Spur Gear Builder by Dr. Rainer Hessme: http://hessmer.org/gears/InvoluteSpurGearBuilder.html Licensed as CC0. Logic: Fair use of Hibbeler's work (this is merely a discussion and examination of the problem), and Hessme's work is released under the MIT license which allows for license changes of derivative works.
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