I am looking for the following mechanism:
A pair of gears initially in side-by-side arrangement.
The shaft of the first gear is fixed to a first plate. The shaft of the second gear is fixed to a second plate.
The first and second plate are connected by a hinge. The plates are initially in a flat side-by-side configuration. The shafts are initially parallel.
The first plate is held stationary. The second plate moves freely on the hinge.
As the first gear is rotated it rotates the second gear. It also pushes on the second gear causing the second plate to pivot on the hinge.
As the first gear rotates through a partial turn (e.g. from 0 to 120°) the second gear also rotates through an equivalent partial turn (e.g. from 0 to -120°). As the gears rotate the second plate pivots a small angle (e.g. from 0 to 40°). Thus the shafts of the gears are parallel in the initial position and tilted relative to each other in the final position.
Is such a mechanism known or possible?
Here a rough illustration of the idea:
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The more important question is not whether the mechanism you describe is possible, but what you are actually trying to achieve? What are the design constraints? There is very likely a more elegant solution that we cannot suggest without more context.
– Jonathan R Swift Feb 13 '21 at 21:51