As a self professed arithmetard I had some trouble coming to grips with
a parametric equation for the simple involute without all the parameters
associated with gear design, etc. The equations included in attached
are my interpretations of standard equations, rewritten so I can
comprehend after not seeing them for months. Hope they're of some use
to others as well.
2008-05-04_082904_circle_involute--wf2--.prt.zip
Note: I've seen this equation several places. It does not seem to be
valid for anything except 90 degrees. If that's incorrect would someone
straighten me out?
____________________
r=BASE_DIA/2
ang=t*90
s=(PI*r*t)/2
xc=r*cos(ang)
yc=r*sin(ang)
x=xc+(s*sin(ang))
y=yc-(s*cos(ang))
z=0
a parametric equation for the simple involute without all the parameters
associated with gear design, etc. The equations included in attached
are my interpretations of standard equations, rewritten so I can
comprehend after not seeing them for months. Hope they're of some use
to others as well.
2008-05-04_082904_circle_involute--wf2--.prt.zip
Note: I've seen this equation several places. It does not seem to be
valid for anything except 90 degrees. If that's incorrect would someone
straighten me out?
____________________
r=BASE_DIA/2
ang=t*90
s=(PI*r*t)/2
xc=r*cos(ang)
yc=r*sin(ang)
x=xc+(s*sin(ang))
y=yc-(s*cos(ang))
z=0