Page 1 of 1
Equation driven curve
Posted: Tue Jan 18, 2022 8:53 am
by Tadas
Hi,
does any could help me to create 3d equation driven curve of heating coil path, acc. image and capture of drawing ? The half pipe is going to be welded on dished head.
Thanks in advance
Re: Equation driven curve
Posted: Tue Jan 18, 2022 9:12 am
by Dwight
Tadas
I am no help with equation-driven curves, but this does look as if a spiral sketch projected onto a surface would be just what you want.
Dwight
Re: Equation driven curve
Posted: Tue Jan 18, 2022 9:21 am
by Tadas
Hi,
You are right, but is it possible in that way to keep equal step (pitch) between revolutions.
Re: Equation driven curve
Posted: Tue Jan 18, 2022 10:02 am
by HerrTick
I have used Dwight's solution to make conic springs. It has some advantages. You get a graphic representation of the results. Also, you can decouple F(x,y,z) into F(x,y) and F(z).
As far as the equal step between revolutions, that depends entirely on your equation. SW has a spiral function embedded in the helix function that can do this in 2D, which is much simpler than ginning up your own equation. You could derive the cone angle for z by making a cross-section layout sketch.
Re: Equation driven curve
Posted: Tue Jan 18, 2022 12:25 pm
by Dwight
Tadas
To add to what HerrTick said, the actual step distance will lengthen slightly as you get to steeper parts of the surface, but the projected step distance can be kept equal.
Dwight
Re: Equation driven curve
Posted: Tue Jan 18, 2022 3:10 pm
by DanPihlaja
I have seen this guy do wonders with equation driven curves:
@zxys001
Maybe he can chime in.
Re: Equation driven curve
Posted: Wed Jan 19, 2022 9:53 am
by Tadas
The wrap feature helps a bit. Precision of step could be an issue.
I'm looking the ways to workaround. First attempt. One of edges I'm going to use for sweep of round profile.
Thanks for replays.
Re: Equation driven curve
Posted: Thu Jan 20, 2022 8:54 pm
by josh
Based on the sketch you posted, you have a spiral on a portion of a sphere.
I searched:
equation of spiral on sphere
and the first result was:
https://www.intmath.com/blog/mathematic ... 07.83%20cm.
Re: Equation driven curve
Posted: Fri Jan 21, 2022 8:42 am
by Dwight
Josh
That's a nice little article. Thanks for posting the link.
Dwight
Re: Equation driven curve
Posted: Sun Jan 23, 2022 1:39 pm
by Tadas
Thank You. I've tested functions and that works. Does any knows how to change step of revolutions ?