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CURVE EQUATIONS

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alansimpson

Mechanical
Joined
Jul 8, 2000
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228
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IE
Know any sources on the web to find equations of curves (spirals, involutes, cam movements etc.) to be used to generate curves in parts?
 
This page has an involute formula:



Spirals can be created using a cylindrical coordinate system using the following format:

r = 5 + 2*t (5 is the base radius, 2 is the pitch times the # of turns)
theta = t * 3 * 360 (The number 3 represents the total number of full revolutions made by the spiral)
z = 0 (This just makes the spiral flat)



Cams can be created using a similar method.

Example: Simple sinusoidal cam profile

r = 10 + 3 * sin(t*360)
theta = t * 360
z=0
 
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