三维双曲面齿轮模型

Hyperboloidal Gear Model

2023-03-26 21:59:36

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https://youtu.be/fGuLvVmkwb0

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 profiles of the gear teeth are involute curves. Even the bearings for the top gear are shaped as parabolas.

This model transmits rotation between shafts crossed at 45°.

List of printed parts:

Qty	Filename	Description
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.