> explain the relations a little bit more
That was sort of a doodle, playing with the shape.
Sketcher relations, for the Helical Sweep Section,
can be simplified
sd8 = .75 + 1.25 * trajpar
sd9 = .5 * d31
sd10 = start_pitch + (end_pitch - start_pitch) * trajpar
and it will solve with a linear transition in groove
depth (sd8) and distance between flight walls (sd10).
Replacing [ * trajpar ] with [ * tan(trajpar * 45) ]
alters the rate of change from linear to
slower rate at trajpar = 0,
faster rate at trajpar = 1.
(
An easy way to visualize is to create two datum curves referencing
the same CSys using the terms,
x = t, y = t, z = 0 and x = t, y = tan(45 * t), z = 0
(if you want to have a little more fun try substituting
t^(1/2), t^2, etc. for t)
)
The last tweak on (sd10) [ - .25 - .45 * tan(trajpar * 45) ]
causes the flight to taper in thickness.
-Jeff Howard (wf2)
Sure it's true. I saw it on the internet.