Constructing a circle from a cone and sphere

[fordrox]

Since PCD cannot construct a circle from the intersection of a cone and sphere. How do you get the .12 dimension without measuring it with hand tools?

conespheredraw.JPGspherecone.JPG

[Douglas]

****, that might need simultaneous equations and a pile of code. I could derive equations but I'd leave the code to some of the gurus in here

[JEFMAN]

Here at #4
https://www.pcdmisforum.com/forum/pc...ht=cone+sphere
or here at #11 (even if it's a cylinder)
https://www.pcdmisforum.com/forum/pc...ct=#post266339

[R2ah1ze1l]

Make lines instead of a 'cone' and pierce the sphere? Construct Ø from constructed points?

[RandomJerk]

Here's a long way to do it. So long that I didn't even complete it, but you'll get the idea... YOu have to do the last two pierce points with the Y axis lines, then you can create a circle and report it's Z. Or just do it once as it doesn't look that tight of a tolerance and report the Z value of one point. Fundamentally I create the plane/cone intersection, pierce that circle with an axis line, move the origin there then rotate about the cone half angle, create another axis line, then pierce that with the sphere.

SPH1 =FEAT/CONTACT/SPHERE/DEFAULT,CARTESIAN,IN,LEAST_SQR
THEO/<0,0,0>,<0,0,-1>,0.4
ACTL/<0,0,0>,<0,0,-1>,0.4
TARG/<0,0,0>,<0,0,-1>
START ANGLE 1=0,END ANG 1=360
START ANGLE 2=20,END ANG 2=90
ANGLE VEC=<1,0,0>
SHOW FEATURE PARAMETERS=NO
SHOW CONTACT PARAMETERS=YES
NUMHITS=6,NUMROWS=3
AVOIDANCE MOVE=NO,DISTANCE=0.3937
SHOW HITS=NO

CONE_HITS =GROUP/SHOWALLPARAMS=NO
ENDGROUP/ID=CONE_HITS

CON1 =FEAT/CONE,CARTESIAN,IN,LENG,NO
THEO/<0,0,-0.245>,<0,0,1>,0.04,0.37,0.45
ACTL/<0,0,-0.245>,<0,0,1>,0.04,0.37,0.45
CONSTR/CONE,BF,PNT1,PNT3,PNT5,PNT6,PNT4,PNT2,,

PLN1 =FEAT/CONTACT/PLANE/DEFAULT,CARTESIAN,OUTLINE,LEAST_SQR
THEO/<0,0,0>,<0,0,1>
ACTL/<0,0,0>,<0,0,1>
TARG/<0,0,0>,<0,0,1>
ANGLE VEC=<1,0,0>,RADIAL
SHOW FEATURE PARAMETERS=NO
SHOW CONTACT PARAMETERS=YES
NUMHITS=3,NUMROWS=3
SPACER=0
AVOIDANCE MOVE=NO,DISTANCE=0.3937
USE BOUNDARY OFFSET=YES,OFFSET=50.7999
SHOW HITS=NO

CIR1 =FEAT/CIRCLE,CARTESIAN,OUT,NO
THEO/<0,0,0>,<0,0,1>,0.49
ACTL/<0,0,0>,<0,0,1>,0.49
CONSTR/CIRCLE,INTOF,CON1,PLN1

ALIGN_LINE1=FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<-0.5,0,0>,<1,0,0>
ACTL/<-0.5,0,0>,<1,0,0>
CONSTR/LINE,ALIGN,1,XPLUS

ALIGN_LINE2=FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<0.5,0,0>,<-1,0,0>
ACTL/<0.5,0,0>,<-1,0,0>
CONSTR/LINE,ALIGN,1,XMINUS

ALIGN_LINE3=FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<0,-0.5,0>,<0,1,0>
ACTL/<0,-0.5,0>,<0,1,0>
CONSTR/LINE,ALIGN,1,YPLUS

ALIGN_LINE4=FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<0,0.5,0>,<0,-1,0>
ACTL/<0,0.5,0>,<0,-1,0>
CONSTR/LINE,ALIGN,1,YMINUS

PNT7 =FEAT/POINT,CARTESIAN,NO
THEO/<-0.245,0,0>,<1,0,0>
ACTL/<-0.245,0,0>,<1,0,0>
CONSTR/POINT,PIERCE,ALIGN_LINE1,CIR1

PNT8 =FEAT/POINT,CARTESIAN,NO
THEO/<0.245,0,0>,<-1,0,0>
ACTL/<0.245,0,0>,<-1,0,0>
CONSTR/POINT,PIERCE,ALIGN_LINE2,CIR1

PNT9 =FEAT/POINT,CARTESIAN,NO
THEO/<0,-0.245,0>,<0,1,0>
ACTL/<0,-0.245,0>,<0,1,0>
CONSTR/POINT,PIERCE,ALIGN_LINE3,CIR1

PNT10 =FEAT/POINT,CARTESIAN,NO
THEO/<0,0.245,0>,<0,-1,0>
ACTL/<0,0.245,0>,<0,-1,0>
CONSTR/POINT,PIERCE,ALIGN_LINE4,CIR1

ASSIGN/V1=CON1.A/2

A5 =ALIGNMENT/START,RECALL:STARTUP,LIST=YES
ALIGNMENT/TRANS,XAXIS,PNT7
ALIGNMENT/TRANS,YAXIS,PNT7
ALIGNMENT/TRANS,ZAXIS,PNT7
ALIGNMENT/ROTATE_OFFSET,V1,ABOUT,YPLUS
ALIGNMENT/END

LIN1 =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<-0.5,0,0>,<1,0,0>
ACTL/<-0.5,0,0>,<1,0,0>
CONSTR/LINE,ALIGN,1,XPLUS

PNT11 =FEAT/POINT,CARTESIAN,NO
THEO/<0.0733,0,0>,<1,0,0>
ACTL/<0.0733,0,0>,<1,0,0>
CONSTR/POINT,PIERCE,LIN1,SPH1

A6 =ALIGNMENT/START,RECALL:STARTUP,LIST=YES
ALIGNMENT/TRANS,XAXIS,PNT8
ALIGNMENT/TRANS,YAXIS,PNT8
ALIGNMENT/TRANS,ZAXIS,PNT8
ALIGNMENT/ROTATE_OFFSET,-45,ABOUT,YPLUS
ALIGNMENT/END

LIN2 =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
THEO/<0.5,0,0>,<-1,0,0>
ACTL/<0.5,0,0>,<-1,0,0>
CONSTR/LINE,ALIGN,1,XMINUS

PNT12 =FEAT/POINT,CARTESIAN,NO
THEO/<-0.0733,0,0>,<-1,0,0>
ACTL/<-0.0733,0,0>,<-1,0,0>
CONSTR/POINT,PIERCE,LIN2,SPH1

{repeat as wanted}

[Douglas]

Make lines instead of a 'cone' and pierce the sphere? Construct Ø from constructed points?

probably the 2D approach is the best... this was the best answer in my opinion

[DAN_M]

Do this:

1) Probe the sphere as an autosphere
2) Probe the cone as an autocone
3) XY origin to the autocone
4) While origin-ed to the cone, measure lines on the cone
5) Pierce the lines into the sphere
6) Recall base alignment
7) Create a plane out of the pierce-points
8) Tolerance the plane

**VERY IMPORTANT**

Workplanes & alignments are very important here. While doing above procedure...

-MAKE SURE YOUR BASE ALIGNMENT HAS ALL 6 DOF CONSTRAINED.
- Make sure you're in the appropriate workplane when you're constructing stuff