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Arc Overhang

A 3D printer toolpath generation algorithm that lets you print up to 90° overhangs without support material, original Idea by Steven McCulloch: https://github.com/stmcculloch/arc-overhang

Now it is easy and convinient to use by integrating the functionality into PrusaSlicer as a post-processing script.

Steven and I hope that some day this feature gets integrated into slicing software. But until then you can use this script to get the added functionalitiy today!

possible usecases

0. Videos

This is a basic visualisation how the algorithm works:

arc-overhang visualization

(this visualisation uses depth first generation, the current version uses breadth first search algorithm to fill the remaining space in the overhang.

1. Brief Explanation (from Steven McCulloch):

  1. You can print 90° overhangs by wrapping filament around itself in concentric arcs. You may have seen the fullcontrol.xyz overhang challenge. This uses the exact same principle. Here's what this effect looks like while printing:

printing demo

  1. You can start an arc on an arc to get ridiculously large overhangs. To get perfect results you need to tune the process to fit your machine. Also it is painfully slow, but still faster than support + removal :P

For more details visit: https://github.com/stmcculloch/arc-overhang

3. Setup-Process

  1. download and install Python 3, at least Version 3.5, check the "add to PATH" box during the installation.
  2. install the librarys shapely, numpy and matplotlib and new numpy-hilbert-curve via "python -m pip install "+library-name in your console (type cmd in windows start-menu search) python -m pip install shapely numpy matplotlib numpy-hilbert-curve.
  3. Ready to go! Tested only with PrusaSlicer 2.5 & Python 3.10 :)

4. How to use it:

Option A) via Console

Simply open your system console and type 'python ' followed by the path to this script and the path of the gcode file. Will overwrite the file.

Option B) use it as a automatic post-processing script in PrusaSlicer

  1. open PrusaSlicer, go to print-settings-tab->output-options. Locate the window for post-processing-script.
  2. In that window enter: C:\full\path\to\your\python.exe C:\full\path\to\this\script\including\prusa_slicer_post_processing_script.py (with blank space between the two paths!). For unix like systems (linux, macOS, ecc.) use the / instead of \, obtaining something like this: full/path/to/your/python full/path/to/this/script/including/prusa_slicer_post_processing_script.py
  3. PrusaSlicer will execute the script after the export of the Gcode, therefore the view in PrusaSlicer wont change.
  4. Open the finished gcode file to see the results.

Notes to nail it first try: If any path contains empty spaces, mask them as described here (using "\ " on unix like sistems and "! " on windows): https://manual.slic3r.org/advanced/post-processing https://help.prusa3d.com/article/post-processing-scripts_283913

currently only using quotation marks " at the beginning and end of the path with empty spaces seem to work.

If you want to change generation settings: Open the Script in an editor, scroll to 'Parameter' section. Settings from PrusaSlicer will be extracted automaticly from the gcode.

5. Current Limitations

  1. Some settings need to be taylored to your specific geometry, just like you adapt the settings in your slicer. Details below.
  2. Code is slow on more complicated models.
  3. The Arcs are extruded very thick, so the layer will be 0.1-0.5mm thicker (dependend on nozzle dia) than expected =>if precision needed make test prints to counter this effect.
  4. Some warping, when printing the follow up layers. Print the followup layers as slow as possible with the least ammount of cooling possible. You dont need to change any PrusaSlicer Settings, as this is handled automaticly by the script via the special cooling parameters. When you print to low cooling it will result in sagging/heat softening. Balance the cooling of these layers with gravity/heat softening: More Cooling=>More Warping. There is no generalized solution for all printers, but the default values should be a good start.
  5. no wiping or z-hop during travel moves
  6. remaining print time shown during printing is wrong. The real printtime can be seen when opening the finished file in GcodeViewer.
  7. will take the first island of the prev. perimeter as a startpoint. If you dont like that point, turn the models along z-axis.
  8. delets solid infill incl the last travel move if multiple islands present. Causes small defect. Fixing in progress.
  9. settings testet for PLA only. You can of cause try other materials and share your knowlege here!
  10. Physics: The arcs need to be able to support their own weight without much deformation. Therefore narrow and long bridges will be generated, but not print successfull. Use some supports to stabilize critical areas.

5.1 Updates:

Reduced warping significantly! The warping is caused by the follow-up layers that contract during the cooldown. The Script now automaticly applies warping-reducing print settings within a certain z-distance over the arcs. There are parameters defined in the script to adapt the settings to your printer. The following settings are applied: Lower speed, lower fan speed. Conversion from solid infill to hilbert curve.

A hilbert curve pattern is associatet with the smallest residual thermal stresses Reasearch on SLS-3d-printing. This shows great success, but some more time is needed to find the limits (e.g printing speed) and effects of this printing strategy. Additionally the script splits up the hilbert-curve to avoid heat accumulation and therefore softening of the material below.

Unfortunately we can't convert the perimeters, so print them as slow as possible and with the least cooling possible to reduce the warping. On the other hand: printing without cooling causes the overhang to bend downwards. Possibly caused by the added weight + heat softening, so a balance of the thermal contraction forces and gravity might be a solution. For me cooling at 10% worked quite nice. Research is in Progress, Steven and I would be happy if you share your knowlege and experiences from you prints!

Example images of minimized warping, tested on extreme overhang with 100mm diameter:

The bulging downwards happens due to the geometry of the object: The long arcs contract when cooled down, causing some stress in the printed part. The next one adds more contraction stress, that release in the bulging. This happens due to physics and geometry. The bulging issue can be solved by a)set rMax to 40mm, b) change the geometry so the arclines are splited into multiple parts and extreme long arcs are avoided.

The warping of <2mm is in my opinion acceptable, as we talk about a very large surface and it is only occuring at the very edge.

6. Suggested Print Settings

Some PrusaSlicer PrintSettings will be checked and warned if "wrong".

Important Settings in the Script are:

a) "ArcCenterOffset": The surfacequality is imporved by Offsetting the arc center, because the smallest r is larger->more time to cool. Set to 0 to get into delicate areas.

b) "ExtendIntoPerimeter": Enlargen the Area, where Arcs are Generated. Increase to thicken small/delicate passages. minValue for the algorithm to work is 0.5extrusionwidth!

c) "MaxDistanceFromPerimeter": Controls how bumpy you tolerate your edge. big: less tiny arcs, better surface. small:follow the curvature more exact.

d) Thresholds for area and bridging length, adjust as needed, but Arc shine at large surfaces :)

e) "UseLeastAmountOfCenterPoints": experimental: use only one arc-center until rMax is reached (then iterate as usual), improves surface finish but can lead to failed prints on complex geometrys.

f) Adjust the special cooling settings to your printer. This affects the follow-up layers to reduce warping.(More cooling->more warping)

General Print Settings for the arcs:

The overhang print quality is greatly improved when the material solidifies as quickly as possible. Therefore:

  1. Print as cold as possible. I used 190 degrees for PLA. You can probably go even lower. If you require higher temp for the rest of the print, you could insert could insert some temp-change gcode before and after the arcs are printed. Might waste a lot of time though.

  2. Maximize cooling. Set your fans to full blast. I don't think this technique will work too well with ABS and materials that can't use cooling fans, but I haven't tested it.

  3. Print slowly. I use around 2 mm/s. Even that is too fast sometimes for the really tiny arcs, since they have almost no time to cool before the next layer begins.

6.1 Examples:

7. Room for Improvement

We would be happy if you contribute! The surface-finish seems to be better with using as little as possible start points for the arcs. but where are the Limits? Finding an algorithm deciding when to start a new arc, working reliable an a wide set of geometrys is the next ongoing developement. I you have any questions/ideas I would be happy if you share them!

Printing long overhangs is tricky due to gravity. a meet in the middle concept could help, but how do we teach that to the computer? Feel free to encorporate any Ideas in the post-processing script and try them!

Further optimize the settings or add features like z-hop and quality of life features like correct displaying of remaining print time.

8. Printer Compatibility

By default, the output gcode should print fine on most standard desktop FDM printers you can use with PrusaSlicer. PrusaSlicer is mandatory as the script listens to sepcific keywords....

9. Easy Way to try Out

If you want to try the prints without installing, Steven and I added some test print gcode files in the root directory that you can directly download. They should print fine on most printers although you may need to manually adjust the gcode so that it works with your printer.

10. Print it!

If you get a successful print using this algorithm, I'd (and I am sure Steven to) love to hear about it.

11. How the Post-Procssing-Script works

The script analyses the given gcode-file and splits it into layers. For every layer the informations are saved as an object (Class:Layer). Than it searches for "Bridge Infill" tag in the gcode, kindly provided by PrusaSlicer.

The process will be shown with this simple example geometry(left). It has Bridge Infill at 2 areas in one layer, the right one is the overhang we want to replace.(right) Explain Geometry

The real work is done by the shapely-Library. The Algorithm extracts the gcode and converts it into a shapely line (plot:green). By thickening the line we get one continous Polygon(plot black): infill to poly

The Polygon is verified by several steps, including touching some overhang perimeter. To find a start point the external perimeter of the previous layer is extracted and the intersection area with our Polygon calculated. The commom boundary of the intersection area and the Polygon will be the startline (magenta) for the arc generation. Start Geometry

For each step concentric arcs are generated, until they hit a boundary or rMax. The Farthest Point on the pervious arc will be the next startpoint. Algorithm Animation

The process is repeated until all points on the arcs are close enough to the boundary or overprinted by other arcs. Finally the gcode file will be rewritten. All infos are copied and the Arcs are injected at the beginning of the layer. the replaced bridge infill will be excluded: Result