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Orthogonal Curvilinear Helical Rack and Pinion Gear

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P1S
X1 Carbon
X1
A1
A1 mini
X1E
H2D
P1P
H2D Pro
H2S
P2S
H2C
X2D
A2L

0.2mm layer, 2 walls, 25% infill
0.2mm layer, 2 walls, 25% infill
Designer
6.7 h
2 plates
5.0(2)

Open in Bambu Studio
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4
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Orange (10300) / Refill / 1kg
Yellow (10400) / Refill / 1kg

Description

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This is a novel transmission mechanism I designed, the core of which comprises two curvilinear helical racks. Rotating one curvilinear helical rack drives the other in a smooth rotational motion.
Each rack's tooth profile is derived from the involute of a traditional helical gear, guided by a helix with a smooth curvature transition for smoother meshing.
The two racks intersect at a 90° angle, achieving spatial orthogonal transmission; this retains the continuous meshing advantages of helical gears while exhibiting unique structural aesthetics and playability.
Currently, I haven't found any practical applications (as it was developed quite early on); perhaps other publications have already presented papers on this transmission mechanism?
Simple analysis suggests that this curvilinear helical rack is unsuitable for high loads because of the limited contact area between the two teeth, resulting in wear and reduced lifespan (applying grease might help?).
Its current application is limited to learning and educational toys, showcasing its unique transmission method.

The original model file format is SOLIDWORKS 2022 (download the model to observe the design tree's step-by-step development).
If you have any questions or suggestions for applications of this transmission structure, please leave a comment;)

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