Help with a program to generate x,y coordinates between two arc profiles

first you need to clarigy how those two arcs are aligned relative to each other. are you SURE that number you provided are radius and not diameter?

if the two arcs are concentric and with radius you specified, then with 44mm gap at the top, normal distance between two is constantly changing.

if those were full circles, gap at the bottom would be 132mm and not 44mm.

futher, one would need to find when vertical distance is 120mm since you did not bother to provide info about plate size and distance from each arc tip to nearest plate edge.

left side shows what you get if those values are diameter

right side shows what you get if those values are radii

So depending if the values are radius or diameter would have an effect on width of the plate or the green segment.

EDIT.. .this is a better picture

btw geneal equation for circle (x-x0)^2 + (y-y0)^2=R^2

have at it....

so in this case two circles have different centers and you still did not provide key dimensions. in other words you are making it harder to help you because

one would need to setup and solve a system of equations. why not simplify it and measure how wide the plate is and how far top of ieach sircle is from the bottom edge of the plate?

i am not some mechanical guy but i think all dimensions should be defined from same reference (datum line), just like in electrical circuits all voltages are measured from some known reference (ground/neutral/dc common). you don't have any of your dimensions use common reference (line, not curve)

i got them already from geometry... created and solved set of equations then wrote little something that is nice, short and fully parametric.

run it in OL and ploted computed points, it is spot on.

yes, there are equations.

they would likley not be blurred out if you did not make me go through all the effort since you refused to post the more compelling case.

so thanks for the challenge and enjoy the partial solution - KRL code is shared. start equation is shared

i could share the data, equations and how to derive them but now ... that will cost you.

to complete it all you need is a bit of high school math. it is a good opportunity to refresh what you learned.

if you do it right you will get the correct formulas. this is output that posted KRL code generated:

you are welcome.

to make math simpler and reduce number of offsets to manage, i used symetry about vertical line at the cnter. it passes through centers of both circles.

since you have two circles, you need to create two equations (one for each of them).

so first equation is for top circle which has center at the origin of base.

then using the values you shared, you cna find cente of lower circle since they are not concentric.

normally you would look for intersect of the two curves but this does not happen here ince only X matches, but not Y.

we need to find where the vertical distance is 120mm.

so to findwhere the vertical distance is 120mm i simply moved (temporarily) one circle by 120 mm. to make them intersect.

this means modifying one of the equation... i chose to list lower circle by 120mm (since it's center is not at origin anyway).

next thing was to substitute few things, for example with this arrangement

both circles have centers at x=0

therefore X01 and x02 are zero and first term of the circle is just x^2 in both equations.

now it is easy to subtract the two and X^2 cancels out and you solve for Y.

then you use this to get X and voila - this value is half of width of the plate.

then using original circle equations, you can use Algebra to transform them so that y1=f1(x) and y2=f2(x).

then one can use loop tp vary X from left to right side of the plate using step of your choice (2mm or whatever)

both P1 and P2 will have same X but Y1 and Y2 will be different.

that was it...

oh and when calculating P! and P2, i adjusted Y so that base origin is at the bottom of the plate, rather than center of outside circle.

very good...

i used CWRITE to save x,y1 and y2.

another way is to declare an array in a DAT file. note, only declaring it is not enough, in this case each array element must be also initialized there.

then during program execution save values to those arrays. when program is finished there will be updated values (calculated instead of zeroes).

then you can import this into an Excel for example

DECL REAL x_val[500]
x_val[1]=0
x_val[2]=0
x_val[3]=0
...
x_val[500]=0

there are different ways to run KRL programs:

1. real controller

2. real controller without robot arm (set environment to office)

3. OPS (Offline Programming Station) is a KUKA desktop PC. it is a hardware PC that works like KPC. more compact than real controller

4. OL (OfficeLite), software running inside virtual machine. this is the most portable version.

i am using OL (OfficeLite 8.5)

years ago OfficeLite used to be offered as a 30day trial version. one shoud still be able to find it in the simulaiton section of this forum.

i think it was OL 4.x