The solution here is to use hollow tubes instead of solid 6mm axles - just use a larger diameter. Using a hollow aluminum or 4310 tube that's 12mm or 18mm OD is going to drastically increase your stiffness while keeping weight constant - maybe even lowering it (depending on your wall thickness).
I ran some numbers for this a while ago when I was scoping out a large format 3D printer I'm working on and the stiffness/weight looks great for aluminum tubes. Apart from the easy availability, there isn't much going for solid drive axles. The only complication is finding tubes with a good enough surface tolerance, because purpose-built hollow drive axles are incredibly expensive. I suspect, however, that high quality aluminum extrusion or DOM 4130 aircraft tubing is going to be good enough. Carbon fiber tubing might also be an option because it can be had with a great surface finish, but unless you've got good connections, finding that cheap will probably be tough.
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snowygrouch 1
Its nothing to do with the strength, its the stiffness that will cause you a big problem.
I think the UMaker drive layout is only good for print bed size maybe 350x350mm
Any more and the vertical flexing will likely exceed the layer height (meaning the nozzle
may well decide to start scraping and banging into the top layer in the middle depending
on the speed its going and so on - which wont always be constant). You will also run into
accuracy issues printing quickly as the XY rods will also bend laterally during fast moves so
your geometry will likely end up being thrown out if you print really fast.
Issue is that if you increase the diameter of the two 6mm XY rods, the weight will go up with the
square of the radius. So you will loose all of the benefit of having a light printhead.
Having very thick rotating bars for the outer slides will help, but only a bit. Another problem is going to be
that the bowden will be much longer, and potentially getting quite nasty curvature at the limits of travel. All
of which will give bad printing results.
So just for example...if you calculate the beam deflection, to have the same stiffness as a Ø6x300mm
XY bar (the standard ones), in 500mm length, the required diameter is Ø9mm !!
The moving mass of this is triple the standard one (not that you can buy a 9mm rod, but you see the point).
Or you can just use Ø6x500mm rods, and accept that for any given printhead accel your printhead will
be deflecting 4x as much as the standard one. So by extending the Ø6mm rods by +200mm length you
are decreasing their stiffness 400%. This is because in the beam bending equation, the term for the beam length
is "beam length cubed".
So thats a compromise you will have to accept if you want to keep the Ultimaker drive arrangement
with a larger format. It will probably print not as well, because of the long bowden, and the printhead will
be less accurate for a given speed. But if you are happy with that, of course it will still "work".
If you REALLY want to do it, I recommend making it rectangular format, keeping
perhaps the Y axis short, that way you keep it at least very stiff in one direction.
C.
PS> I suppose this might be helpful:
http://www.engineersedge.com/beam_bending/beam_bending2.htm
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