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Hypotrochoid gear system 3 to 5 animation

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Uploaded on Sep 5, 2010

Order the required two parts at:
http://www.shapeways.com/model/151828...
http://www.shapeways.com/model/151829...

A little test animation of a hypotrochoid gear system with a 3-sided inner gear, a 5-sided outer gear and eight simple radial gears in between.

The inner gear has 24 teeth and the outer gear has 40 teeth leading to a 3:5 teeth ratio. This defines the relation of the shapes of the inner and outer gears. The shape of the inner gear can be expressed by these formulas with a being the angle:
x = r * sin(a)
y = r * cos(a)
r = 1 + cos(3 * a) / 9

The shape of the outer gear is calculated using an iterative fitting process.

Even though this is just an animation, I have a physical version here printed in 3D by shapeways.

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