I'd write a small program in c or python to solve this.
You only need to solve the problem for 1/4 of the perimeter. After that,
rotate and mirror
Here are my thoughts on solving it:
- find parameteric equations for an arc of the circle in 1st quadrant and
the edge of the square
- http://en.wikipedia.org/wiki/Parametric_equation
- for simplicity, I'm assuming a radius of 1
- circle: x=a*cos(t); y=a*sin(t); in first quadrant, 0<t<pi/2
- line with slope -1: *x1=-t+1; y1=t; 0<t<1*
- circle with parameter range 0 to 1: *x2=cos(pi*t/2); y2=sin(pi*t/2);
0<t<1*
- assuming material thickness of 1 unit, with the square on the bottom
at z=0: *z1=0; z2=1*
- compute n values of x1,y1,x2,y2 between 0 and 1 with a for loop
- use x2, y2, z2 as X,Y,Z in the gcode
- use x1, y1, z1, x2, y2, z2 to find values for A, B, and/or C
Mark
On Sat, Mar 12, 2011 at 5:30 PM, Viesturs Lācis <[email protected]>wrote:
> Hello, gentlemen!
>
> I would like to ask, if anyone has an idea, how to create a code to
> produce this kind of part (both files contain the same model, I just
> saved it in 2 different formats):
> http://www.cutting.lv/fileadmin/user_upload/Test.IGS
> http://www.cutting.lv/fileadmin/user_upload/Test.STL
>
> My goal would be cutting this part from thick slab of material. Those
> flat planes represent top and bottom surfaces of the slab.
> Basically I would like to get code, in which the waterjet (or any 5
> axis plasma or cuts a circle on the top, but rotary joints that tilt
> the head would move so that something like a square is on the bottom.
>
> So the problem is finding out the necessary tilt angle, which
> corresponds to the slope of the edge. I thought that it could be
> something like dividing the top contour (in this case - the circle) in
> 0.1 mm segments and then getting the slope angle, but I have no idea,
> how to do that.
>
> Can anyone recommend some kind of solution? Is there some _affordable_
> CAM application that can do that (I have found one that costs 12K EUR,
> but I do not even consider that to be an option)? Or can I calculate
> that myself with some trigonometry? Since I know the distance from one
> plane to another (that is the thickness of material), I would need
> only horizontal distance from one line to another to get the angle
> with atan function. The distance between both lines could be
> calculated in 0,1 - 0,2 mm increments. That would not affect the
> quality of the result and probably would not create insanely long code
> for such a small part.
>
> I would appreciate any ideas on this matter.
> I think that any solution that works will do!
>
> Thanks,
> Viesturs
>
>
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