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Question about the small arc method

Hello all!

Please let me know if I am doing something wrong following the small arc method.

Btw, I am using vector points and auto circles with NO CAD always in DCC mode. Let's also assume that I am measuring in Z plane.

1) I am measuring the small arc with a fixed radius auto circle.
2) I am setting my origin XY to this circle.
3) Just to be sure I am repeating with a new auto circle fixed radius and realign to it.
4) I am taking 3 vector points in polar coordinates to be precise.
5) I am reporting the PR of the points.

This morning I had a 80deg on an arc R2.8mm to measure. I used this method and I was getting repeatable results at 2.80. The issue is that the radius has been measured to be 2.75mm (verified with 2 other methods also).

I also tried to change the fixed rad value based on the R measurement I had performed before with least squares (around 2.75 non repeatable value) and I was getting results close to that value (the least square value).

With this method, does the fixed Radius value provided alter the centre that is being found? Doesn't this beat the purpose of using this method?

Thanks in advance!
Parents
  • :

    A5 =ALIGNMENT/START,RECALL:A4,LIST=YES
    ALIGNMENT/LEVEL,XPLUS,PLN_0
    ALIGNMENT/ROTATE,YMINUS,TO,CYL_2_8,ABOUT,XPLUS
    ALIGNMENT/TRANS,YAXIS,CER_7_68
    ALIGNMENT/TRANS,ZAXIS,CER_7_68
    ALIGNMENT/TRANS,XAXIS,PLN_0
    ALIGNMENT/END
    R2_8A =FEAT/CONTACT/CIRCLE/DEFAULT,CARTESIAN,IN,FIXED_RAD
    THEO/<-4.96,-3.1825,0>,<0,1,0>,5.6
    ACTL/<-4.965,-3.1825,-0.0043>,<0,1,0>,5.5215
    TARG/<-4.96,-3.1825,0>,<0,1,0>
    START ANG=35,END ANG=-35
    ANGLE VEC=<1,0,0>
    DIRECTION=CW
    SHOW FEATURE PARAMETERS=NO
    SHOW CONTACT PARAMETERS=NO
    A8 =ALIGNMENT/START,RECALL:A5,LIST=YES
    ALIGNMENT/TRANS,XAXIS,R2_8A
    ALIGNMENT/TRANS,ZAXIS,R2_8A
    ALIGNMENT/END
    CER10 =FEAT/CONTACT/CIRCLE/DEFAULT,CARTESIAN,IN,FIXED_RAD
    THEO/<0,-3.1825,0>,<0,1,0>,5.6
    ACTL/<0.0015,-3.1825,-0.0013>,<0,1,0>,5.5215
    TARG/<0,-3.1825,0>,<0,1,0>
    START ANG=35,END ANG=-35
    ANGLE VEC=<1,0,0>
    DIRECTION=CW
    SHOW FEATURE PARAMETERS=NO
    SHOW CONTACT PARAMETERS=NO
    A6 =ALIGNMENT/START,RECALL:A8,LIST=YES
    ALIGNMENT/TRANS,XAXIS,CER10
    ALIGNMENT/TRANS,ZAXIS,CER10
    ALIGNMENT/END
    PNT1 =FEAT/CONTACT/VECTOR POINT/DEFAULT,POLAR
    THEO/<2.8,200,-3.1825>,<-0.9396926,0,0.3420201>
    ACTL/<2.7627,199.9842,-3.1814>,<-0.9396926,0,0.3420201>
    TARG/<2.8,200,-3.1825>,<-0.9396926,0,0.3420201>
    SNAP=NO
    SHOW FEATURE PARAMETERS=NO
    SHOW CONTACT PARAMETERS=NO
    PNT2 =FEAT/CONTACT/VECTOR POINT/DEFAULT,POLAR
    THEO/<2.8,180,-3.1825>,<-1,0,0>
    ACTL/<2.7614,180.1517,-3.1805>,<-1,0,0>
    TARG/<2.8,180,-3.1825>,<-1,0,0>
    SNAP=NO
    SHOW FEATURE PARAMETERS=NO
    SHOW CONTACT PARAMETERS=NO
    PNT3 =FEAT/CONTACT/VECTOR POINT/DEFAULT,POLAR
    THEO/<2.8,160,-3.1825>,<-0.9396926,0,-0.3420202>
    ACTL/<2.7588,159.9775,-3.1817>,<-0.9396926,0,-0.3420202>
    TARG/<2.8,160,-3.1825>,<-0.9396926,0,-0.3420202>
    SNAP=NO
    SHOW FEATURE PARAMETERS=NO
    SHOW CONTACT PARAMETERS=NO


    After that I am reporting the PR of the points. Btw this is for info only (leftover code after 1 week old testing), normally the ACTL/< was around the radius I had previously defined the fixed rad value. Is there anything wrong with the method I followed? ​
  • I am not sure what you mean by PA being different in pnt1 and pnt3 than my vectors. ACOS 0.9396926 is 20 degs. I am taking the points at -20 degs, 0 degs and 20 degs. The method of doing that (If I remember correctly) was with c/p pattern as you suggested. AFAIAC, there is no error here Slight smile
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