Drawing a Hypocycloid function

Drawing a Hypocycloid function

Anonymous
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Drawing a Hypocycloid function

Anonymous
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Hello. I am trying to draw a Hypocycloid curve for a small engineering project and I can't quite seem to get the equations to work within Inventor. I'm relatively new to the program, but I would like to assume that what I am aiming to do is possible.

 

My equations to my hypocycloid are:

 

x(θ) = 1 * cos(θ) + 0.5 * cos(2θ)

y(θ) = 1 * sin(θ) - 0.5 sin(2θ)

 

However, it seems as if there is no way to make Inventor draw in terms of x(θ) and y(θ). Is there any way to draw these curves without having to change any of the terms used? Currently, when the equation is typed into the equation curve with settings Parametric and Cartesian, the equations are "valid" however the x(θ) line gives the error message "The curve is irregular at parameter value 0.00". I should mention that these equations do in fact work when plugged into a graphing calculator, giving the correct curve as well. Here is what the curve is supposed to look like, with a/b = 3. My Large circle radius is 3.

 Hypocycloid.png

 

Thank you!

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JDMather
Consultant
Consultant

The Inventor forum is over here http://forums.autodesk.com/t5/inventor-general-discussion/bd-p/78


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