develop solid surfaces in the plane

[neverste]

I have a solid of a bowl from which I have to develop the surface in the plant to create the adhesive... I tried with rhino "developing surfaces" but it does not work as there is a double curve.
You know how to do that? or do you know any other program that I can use to develop the surface?

Thank you!

 

[Il marangon]

no program can do it because geometrically impossible, try to flatten half a ball without deforming the surfaces, would you succeed?

 

[maxopus]

no program can do it because geometrically impossible, try to flatten half a ball without deforming the surfaces, would you succeed?

It's not true, you start from a wrong assumption.
the half sphere develops, because you get easily from a turning in slab.
there are developable geometries and other undevelopable.
other speech is the development of details obtained from funnel (e.g. the stainless steel basin of the kitchen sink) for which specific programs are indispensable.

pro/e for example develops in plan also the double curvature surfaces and I think it also do other programs like caia.
I don't know if you have this feature

 

[flaviobrio88]

It's not true, you start from a wrong assumption.
the half sphere develops, because you get easily from a turning in slab.
there are developable geometries and other undevelopable.
other speech is the development of details obtained from funnel (e.g. the stainless steel basin of the kitchen sink) for which specific programs are indispensable.

pro/e for example develops in plan also the double curvature surfaces and I think it also do other programs like caia.
I don't know if you have this feature

I have always thought that the half sphere was not developable you can cut it in spikes and develop the ears.
Don't tell me if you cut a supersantos half and then you shove it on the floor without making other cuts

 

[flaviobrio88]

or do you mean by funnel with the ironing of the sheet?

 

[mariuss.r]

I have a solid of a bowl from which I have to develop the surface in the plant to create the adhesive... I tried with rhino "developing surfaces" but it does not work as there is a double curve.
You know how to do that? or do you know any other program that I can use to develop the surface?

Thank you!

As Marangon said, mathematically, it's not possible.
becomes possible if we accept approximations, the _smash command does this, attempts to develop a double-curve surface for approximation (see image attached).

I don't know! I never checked.
try to play it, using the various parameters allowed....and then let us know:biggrin:

 

[Il marangon]

It's not true, you start from a wrong assumption.
the half sphere develops, because you get easily from a turning in slab.
there are developable geometries and other undevelopable.
other speech is the development of details obtained from funnel (e.g. the stainless steel basin of the kitchen sink) for which specific programs are indispensable.

pro/e for example develops in plan also the double curvature surfaces and I think it also do other programs like caia.
I don't know if you have this feature

attention, that if you talk about sheet metal that is subject to stretching = geometri deformation, try to do the same thing with materials that you can only fold and not iron... example the wooden beam

 

[maxopus]

mathematically... but in reality it is done.
I have done the example of non-precise turning, and there are other examples in the processing of composite materials such as carbon and glass fibres or plastics thermoforming.
It is clear that we are talking about ductile materials on which we can perform processing without these being torn or curled.

 

[enri]

for the crystal I can tell you that it is done, but the equation of the curved surface is necessary, if it does not exist, in this specific case the equations of the fluids are used, in fact the glass is a fluid. the designer to flatten the surfaces used just pro-e.
however regarding rhino there are two plugins in the section labs that deal with this, advanced flattening, e developing surface co-construction, see what you can do.

 

[Fulvio Romano]

mathematically... but in reality it is done.
I have done the example of non-precise turning, and there are other examples in the processing of composite materials such as carbon and glass fibres or plastics thermoforming.
It is clear that we are talking about ductile materials on which we can perform processing without these being torn or curled.

What is the turning in the slab?
If you hadn't made this statement, I'd say it's a beautiful and good ca@ata, but given the pulpit from which the information comes, I'm going with the feet of lead...

I tell you what I know, and on which I would play parts of the body supplied multiple (so only hair, hair, nails, fingers...pa@@e no, to understand us)
the surfaces are divided into developable and undevelopable. sufficient condition (but not necessary) so that a surface can be developed is that it is a single curvature.
Developable surfaces can be built for plastic deformation, and the area of the average surface does not change before and after deformation.
non-developable surfaces must admit a variation of the surface area if they are built on the floor and then "richiuse".

to tell us, if you take a sheet and go to a bowl, having the "manic" you can do half a ball, but the half ball area will be higher than that of the slab.
If you take a sheet of paper, you can't give us half a ball.

This is my fool.

 

[PaoloColombani]

I have always thought that the half sphere was not developable you can cut it in spikes and develop the ears.
Don't tell me if you cut a supersantos half and then you shove it on the floor without making other cuts

historical problem of cartographers, that of representing the world (or part of it) on a table without altering the distances between one point and another.

projection or extension on a floor of a double curvature surface inevitably produces distortions, it is possible only to sound compromises and approximations :frown: or otherwise if you are willing to deform the surface.

mathematically... but in reality it is done.

someone said reality is math.

 

[Ezio Olivato]

useful tutorial on modeling solids from rhino surfaces:http://grafica2d3d.blogspot.com/2011/02/tutorial-rhinoceros-modellare-una-penna.html

 

[maxopus]

What is the turning in the slab?
If you hadn't made this statement, I'd say it's a beautiful and good ca@ata, but given the pulpit from which the information comes, I'm going with the feet of lead...
......
to tell us, if you take a sheet and go to a bowl, having the "manic" you can do half a ball, but the half ball area will be higher than that of the slab.
If you take a sheet of paper, you can't give us half a ball.

This is my fool.

this is the turning in sheet (in English metal spinning) and pull out even the semispheres ... made in an artisan way is a work by real metalmechanical :biggrin::biggrin:http://www.youtube.com/watch?v=xscfze4zkzk&feature=relatedhttp://www.youtube.com/watch?v=kxo4lc4ljxi&feature=relatedhttp://www.youtube.com/watch?v=952seibwpduhttp://www.youtube.com/watch?v=nudh8vsocoaForget the theory from cartographers... this is another thing.

 

[neverste]

thanks it seems that it works, I must however check why the solid that I have to realize is not just as simple as a cone trunk, it will be a bowl with the back slightly deformed for the grip, so it will not be a uniform revolution... However now that I know the command I will work on it and I will let you know!

Thank you!

 

[PaoloColombani]

Well, not really, the turning in sheet of a thin circular flat foil on a semi-spherical mold reminds much (on the contrary) the azimutal projection of a hemisphere on a flat surface:

the deformation of the areas follows the same rules. in the end the geometry used by our cad has much to do with geo-metry.

 

[flaviobrio88]

Well, not really, the turning in sheet of a thin circular flat foil on a semi-spherical mold reminds much (on the contrary) the azimutal projection of a hemisphere on a flat surface:

the deformation of the areas follows the same rules. in the end the geometry used by our cad has much to do with geo-metry.

Clear! ! !

I can come back without doubt to my first thought, that is not developable!!! :finger:

 

[maxopus]

Clear! ! !

I can come back without doubt to my first thought, that is not developable!!! :finger:

and I go back to develop them and pass them to the workshops without problems:

 

[enri]

four hammered and developed everything.. :biggrin:

 

[lollone]

this is the turning in sheet (in English metal spinning) and pull out even the semispheres ... made in an artisan way is a work by real metalmechanical :biggrin::biggrin:http://www.youtube.com/watch?v=xscfze4zkzk&feature=relatedhttp://www.youtube.com/watch?v=kxo4lc4ljxi&feature=relatedhttp://www.youtube.com/watch?v=952seibwpduhttp://www.youtube.com/watch?v=nudh8vsocoaForget the theory from cartographers... this is another thing.

also called rullatura!
and it is not something left to chance as you can think! ! !

 

[flaviobrio88]

and I go back to develop them and pass them to the workshops without problems:

And you do well!
but I remain of my idea that mathematics is not an opinion:wink: