This gear model is full to the brim with mathematics, and it works well, too. The reference surface of each of these two gears is the one-sheet hyperboloid, which is formally defined as a "surface of revolution obtained by rotating a hyperbola about the perpendicular bisector to the line between the foci." The gears have an involute tooth profile. Also, the bearings for the top gear are shaped as parabolas, and the base is a plain circle.
This model transmits rotation between shafts crossed at 45°.
List of 3D-Printed Parts:
|2||hyp_gear.stl||The main hyperboloidal gear.|
|1||hyp_gear_end.stl||The end portion of the lower gear.|
|1||hyp_gear_end_long.stl||The end portion of the upper gear.|
|1||hyp_base.stl||The circular base on which all bearings are mounted.|
|2||hyp_stand_upper.stl||The parabola-shaped bracket for the upper gear.|
|2||hyp_stand_lower.stl||The bracket for the lower gear.|
|1||hyp_handle.stl||The handle to be attached to the end portion of the upper gear.|
- 14 metric M3 Phillips-head countersunk screws;
- 12 metric M3 nuts.
- While holding the gear upright, slide an M3 nut to its socket using a groove on the inside of the gear's bottom, as shown here by the red arrow.
- Attach the gear_end using an M3 screw.
- Insert the other 3 nuts into their sockets, and install 3 other screws one by one.
- Repeat steps 1 to 3 with the 2nd gear and gear_end_long.
- Mount the 1st gear between two lower brackets (stand_lower), insert the brackets into their slots on the base, secure with screws and nuts.
- Mount the 2nd gear between two upper brackets (stand_upper). insert the brackets into their slots on the base, secure with screws and nuts.
- Install the handle, align holes, secure with two screws.