Making a sheet metal pattern from a Truncated Cone
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 From:  bemfarmer
10908.13 
Solid Frustum Unwrap using UnwrapCone2 script and Flow, and other routine MoI commands.
("Final" summary of procedure.)

Begin with a solid Frustum, which is a cone with a smaller cone located inside, with the same axis, with the tops cut off with a plane. Thickness is constant. (e.g. Sitting in Top or Bottom view) (Join may be used to create the solid.)

Use the script UnwrapCone2 to unwrap the outer cone surface, to produce 3 arcs and two lines. Trim off the apex portion of the unwrap, to leave the planar outline of the frustum. Trim away half of the planar arc.
Sweep the planar (half) frustum with one edge line, to make curvy isocurves, visible with Curve>Iso command. This planar arc surface is the Target for Flow. (Rectangular isocurves do not work here. The planar isocurves must correspond to the isocurves on the outer frustum surface.)

(e.g. in Front View) Create a plane passing through the slantseam, to divide the frustum into two portions. Return to Top view and Discard half of the frustum. The make the remaining half a solid, may need another trim utilizing the plane, and a join.)

Copy the remaining (half) outer face of the solid (half) 3D frustum, off to the side, and set it to a different color Style, to facilitate hiding and unhiding selection in Flow to come. This will be the Base surface for Flow.

Select the 3D (half) frustum solid, and select Flow. Follow the Flow directions.
Hide the solid using its color Style eye, and select the previously prepared Base surface, near a corner. Select the target planar arc near corresponding corner, and complete the Flow.
The result is thick, flat, unwrap of half of the solid frustum, with the arc sides beveled. This can easily be doubled.
(Minor face artifacts could be deleted and replaced with ending sweep???)


-Brian

Flow of Full frustum was not successful...
I imagine that a hole in the half frustum solid would also transfer with flow???

EDITED: 4 Dec 2022 by BEMFARMER

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 From:  BurrMan
10908.14 In reply to 10908.5 
Hey Gunter,
“””””” I'm just not
sure if it should be the outer or inner? I feel if I use the inner unwarp, it might to too small?””””””

Taking the thickness into account is a bending thing as metal doesnt bend with exact dims. But for your cone unwrap, it will only affect the “seam” and it will have an “angle” instead of original flat ends.

When you coil your cone, the first part to touch will be the inner edge and you will be welding the seam shut on the outside.

For most accurate results, use the inner surface as your unwrap, then bead and fill the gap on the outside.

In theory, if you did both unwraps, you can determine the angle of the ends and the roll your cone to have no gap when it meets. Or determine your dims at centerline or something other than….
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 From:  bemfarmer
10908.15 
I am not a jeweler or silversmith, but this link was interesting.
Making a Band Ring:
https://www.instructables.com/A-simple-Sterling-Silver-Band-Ring/

- Brian

EDITED: 5 Dec 2022 by BEMFARMER

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 From:  Ditto
10908.16 
Fwiw, there is a software called Lamina out there that takes a 3dm (version 4) and creates flat sheet cutouts with all bells and whistles : www.laminadesign.com

It was quite expensive at its time, but the author lowered the price to a whooping $1.80 (one dollar, eighty cents) for commercial usage.
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 From:  pafurijaz
10908.17 
FreeCAD can unroll cone surfaces and much more.
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 From:  BurrMan
10908.18 In reply to 10908.1 
Here is a video I did for a guy with another software, but the method is using the math needed which Michael gave me here!

So the thread regarding the math and needing the radians value is here in the MoI forum somewhere. Thanks again Michael!

If you want to just see the math, you can skip to 4.10 of the video. Then you don't have to sit through me explaining....

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 From:  pafurijaz
10908.19 In reply to 10908.18 
Nice suggestion, the best one.
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