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Coordinate Measuring Machine
CMM
CMM – Coordinate Measuring Machine
Flatness
Roundness
Cylindricity
CMM
CMM – Coordinate Measuring Machine
CMM
CMM
CMM
CMM
Z Y X
1
2
3
CMM
CMM
CMM
CMM
Total Number of Layers= 4
Number of Inspection Points per layer= 8
Total Number of Probing points= 32
Total Number of Layers= 5
Number of Inspection Points per layer= 4
Total Number of Probing points= 20
CMM
Four Modes of Operation
Manual Mode
Teaching Mode
Interactive Mode
Programming Mode
- Manual Program
- Automatic Program
CMM
CMM – Coordinate Measuring Machine
Flatness = 6 faces
Parallelism = 3
Perpendicularity = 12
Total = 21 tolerances
CMM
CMM – Coordinate Measuring Machine
CMM
CMM – Coordinate Measuring Machine
$$* IIT Delhi- DMIS File For Verifying Cylindricity:
Generated by Bhaskar
$$-> DMIS File Number - 1
$$-> Manifold Part / MFG001
DMISMN / DMIS Program
UNITS / MM, ANGDEC
$$-> FEATNO / 128
$$ Verify Gtol g01
T(CYLINDRICITY)= TOL / CYLCTY, 0.005000
OUTPUT / FA(M_CY1), TA(CYLINDRICITY)
$$-> END /
ENDFIL
$$* IIT Delhi- DMIS File For Verifying Conicity:
Generated by Bhaskar
$$-> DMIS File Number - 2
$$-> Manifold Part / MFG002
DMISMN / DMIS Program
UNITS / MM, ANGDEC
$$-> FEATNO / 88
$$ Verify Gtol g02
T(CONICITY)= TOL / CNCTY, 0.005000
OUTPUT / FA(M_CN02), TA(CONICITY)
$$-> END /
ENDFIL
DMIS
$$* IIT Delhi- DMIS File For Measuring A Cylinder: Generated by Bhaskar
$$-> DMIS File Number - 1
$$-> Manifold Part / MFG001
DMISMN / DMIS Program
UNITS / MM, ANGDEC
S(1)= SNSDEF / PROBE, INDEX, POL, 0.000000, 0.000000, $
0.000000, 0.000000, 1.000000, 100.000000, 4.000000
$$-> FEATNO / 128
MODE / PROG, AUTO
SNSLCT / S(1)
FEDRAT / MESVEL, MPM, 15.000000
FEDRAT / POSVEL, MPM, 20.000000
ACLRAT / MESACL, MPMM, 5.000000
ACLRAT / POSACL, MPMM, 10.000000
PRCOMP / OFF
SNSET / APPRCH, 5.500000
SNSET / RETRCT, 5.500000
SNSET / CLRSRF, 0.000000
F(M_CY01)= FEAT / CYLNDR, INNER, CART, $
0.000000, 0.000000, 0.000000, $
0.000000, 0.000000, -1.000000, 30.000000
F(BND_20)= FEAT / PLANE, CART, $
0.000000, 0.000000, 0.000000, $
0.000000, 0.000000, 1.000000,
F(BND_21)= FEAT / PLANE, CART, $
0.000000, 0.000000, -10.000000, $
0.000000, 0.000000, -1.000000,
BOUND / F(M_CY1), F(BND_20), F(BND_21)
MEAS / CYLNDR, F(M_CY1), 32
..........................
GOTO / 0.000000, 0.000000, -2.000000
PTMEAS / CART, 13.000000, 0.000000, -2.000000, $
1.000000, 0.000000, 0.000000
PTMEAS / CART, 9.192388, 9.192388, -2.000000, $
0.707107, 0.707107, 0.000000
$$* IIT Delhi- DMIS File For Measuring A Cone: Generated by Bhaskar
$$-> DMIS File Number - 2
$$-> Manifold Part / MFG002
DMISMN / DMIS Program
UNITS / MM, ANGDEC
0.000000, 0.000000, 1.000000, 100.000000, 2.000000
$$-> FEATNO / 88
MODE / PROG, AUTO
SNSLCT / S(2)
FEDRAT / MESVEL, MPM, 15.000000
FEDRAT / POSVEL, MPM, 20.000000
ACLRAT / MESACL, MPMM, 5.000000
ACLRAT / POSACL, MPMM, 10.000000
PRCOMP / OFF
SNSET / APPRCH, 0.249996
SNSET / RETRCT, 0.249996
SNSET / CLRSRF, 0.000000
F(M_CN02)= FEAT / CONE, INNER, CART, $
0.000000, 0.000000, -44.999981, $
0.000000, 0.000000, 1.000000, 36.870000
MEAS / CONE, F(M_CN02), 6.000000
RAPID / 1.000000
GOTO / 0.0000000000, 0.0000000000, 2.000000
RAPID / 1.000000
GOTO / 0.000000, 0.000000, 2.000000
RAPID / 1.000000
GOTO / 0.000000, 0.000000, -37.000000
PTMEAS / CART, 6.000008, 0.000000, -37.000000, $
-0.799999, 0.000000, 0.600001
PTMEAS / CART, 0.000000, 6.000008, -37.000000, $
0.000000, -0.799999, 0.600001
PTMEAS / CART, -0.000000, -6.000008, -37.000000, $
0.000000, 0.799999, 0.600001
DMIS
CMM
CMM – Coordinate Measuring Machine
yi
a + b xi
y = a + bx
ei = yi – (a + b xi )
Straightness
Straightness
Straightness
Compute straightness for following data
captured using CMM
(10.03, 29.98)
(12.96, 39.02)
(40.05, 119.89)
(14.94, 45.1)
(50.0, 149.88)
(x – xc) r + (y – yc) r + (z – zc) = r2
x2 + y2 +z2 + xc
2 +yc
2 + zc
2 – 2xxc – 2yyc – 2zzc = r2
(xc
2 +yc
2 +zc
2 - r2 )/2 – xxc – yyc - zzc + (x2 +y2 +z2)/2 = 0
Let (xc
2 + yc
2 + zc
2 – r2 )/2 = K
Then xxc + yyc + zzc – K = ( x2 +y2 +z2 ) /2
x1xc + y1yc + z1zc – K = ( x1
2 +y1
2 +z1
2 ) /2
x2xc + y2yc + z2zc – K = ( x2
2 +y2
2 +z2
2 ) /2






















1
1
1
1
3
3
3
2
2
2
1
1
1
n
n
n z
y
x
z
y
x
z
y
x
z
y
x












K
zc
yc
xc








































2
2
2
2
2
2
2
2
3
2
3
2
3
2
2
2
2
2
2
2
1
2
1
2
1
n
n
n z
y
x
z
y
x
z
y
x
z
y
x
=
A * X = B
ATA X = ATB
X = (ATA)-1 ATB
A * X = B
ATA X = ATB
X = (ATA)-1 ATB

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cmm.ppt

  • 1.
  • 3. CMM CMM – Coordinate Measuring Machine Flatness Roundness Cylindricity
  • 4. CMM CMM – Coordinate Measuring Machine
  • 5. CMM
  • 6. CMM
  • 7. CMM
  • 9. CMM
  • 10. CMM
  • 11. CMM
  • 12. CMM Total Number of Layers= 4 Number of Inspection Points per layer= 8 Total Number of Probing points= 32 Total Number of Layers= 5 Number of Inspection Points per layer= 4 Total Number of Probing points= 20
  • 13. CMM
  • 14. Four Modes of Operation Manual Mode Teaching Mode Interactive Mode Programming Mode - Manual Program - Automatic Program
  • 15. CMM CMM – Coordinate Measuring Machine Flatness = 6 faces Parallelism = 3 Perpendicularity = 12 Total = 21 tolerances
  • 16. CMM CMM – Coordinate Measuring Machine
  • 17. CMM CMM – Coordinate Measuring Machine
  • 18. $$* IIT Delhi- DMIS File For Verifying Cylindricity: Generated by Bhaskar $$-> DMIS File Number - 1 $$-> Manifold Part / MFG001 DMISMN / DMIS Program UNITS / MM, ANGDEC $$-> FEATNO / 128 $$ Verify Gtol g01 T(CYLINDRICITY)= TOL / CYLCTY, 0.005000 OUTPUT / FA(M_CY1), TA(CYLINDRICITY) $$-> END / ENDFIL $$* IIT Delhi- DMIS File For Verifying Conicity: Generated by Bhaskar $$-> DMIS File Number - 2 $$-> Manifold Part / MFG002 DMISMN / DMIS Program UNITS / MM, ANGDEC $$-> FEATNO / 88 $$ Verify Gtol g02 T(CONICITY)= TOL / CNCTY, 0.005000 OUTPUT / FA(M_CN02), TA(CONICITY) $$-> END / ENDFIL DMIS
  • 19. $$* IIT Delhi- DMIS File For Measuring A Cylinder: Generated by Bhaskar $$-> DMIS File Number - 1 $$-> Manifold Part / MFG001 DMISMN / DMIS Program UNITS / MM, ANGDEC S(1)= SNSDEF / PROBE, INDEX, POL, 0.000000, 0.000000, $ 0.000000, 0.000000, 1.000000, 100.000000, 4.000000 $$-> FEATNO / 128 MODE / PROG, AUTO SNSLCT / S(1) FEDRAT / MESVEL, MPM, 15.000000 FEDRAT / POSVEL, MPM, 20.000000 ACLRAT / MESACL, MPMM, 5.000000 ACLRAT / POSACL, MPMM, 10.000000 PRCOMP / OFF SNSET / APPRCH, 5.500000 SNSET / RETRCT, 5.500000 SNSET / CLRSRF, 0.000000 F(M_CY01)= FEAT / CYLNDR, INNER, CART, $ 0.000000, 0.000000, 0.000000, $ 0.000000, 0.000000, -1.000000, 30.000000 F(BND_20)= FEAT / PLANE, CART, $ 0.000000, 0.000000, 0.000000, $ 0.000000, 0.000000, 1.000000, F(BND_21)= FEAT / PLANE, CART, $ 0.000000, 0.000000, -10.000000, $ 0.000000, 0.000000, -1.000000, BOUND / F(M_CY1), F(BND_20), F(BND_21) MEAS / CYLNDR, F(M_CY1), 32 .......................... GOTO / 0.000000, 0.000000, -2.000000 PTMEAS / CART, 13.000000, 0.000000, -2.000000, $ 1.000000, 0.000000, 0.000000 PTMEAS / CART, 9.192388, 9.192388, -2.000000, $ 0.707107, 0.707107, 0.000000 $$* IIT Delhi- DMIS File For Measuring A Cone: Generated by Bhaskar $$-> DMIS File Number - 2 $$-> Manifold Part / MFG002 DMISMN / DMIS Program UNITS / MM, ANGDEC 0.000000, 0.000000, 1.000000, 100.000000, 2.000000 $$-> FEATNO / 88 MODE / PROG, AUTO SNSLCT / S(2) FEDRAT / MESVEL, MPM, 15.000000 FEDRAT / POSVEL, MPM, 20.000000 ACLRAT / MESACL, MPMM, 5.000000 ACLRAT / POSACL, MPMM, 10.000000 PRCOMP / OFF SNSET / APPRCH, 0.249996 SNSET / RETRCT, 0.249996 SNSET / CLRSRF, 0.000000 F(M_CN02)= FEAT / CONE, INNER, CART, $ 0.000000, 0.000000, -44.999981, $ 0.000000, 0.000000, 1.000000, 36.870000 MEAS / CONE, F(M_CN02), 6.000000 RAPID / 1.000000 GOTO / 0.0000000000, 0.0000000000, 2.000000 RAPID / 1.000000 GOTO / 0.000000, 0.000000, 2.000000 RAPID / 1.000000 GOTO / 0.000000, 0.000000, -37.000000 PTMEAS / CART, 6.000008, 0.000000, -37.000000, $ -0.799999, 0.000000, 0.600001 PTMEAS / CART, 0.000000, 6.000008, -37.000000, $ 0.000000, -0.799999, 0.600001 PTMEAS / CART, -0.000000, -6.000008, -37.000000, $ 0.000000, 0.799999, 0.600001 DMIS
  • 20.
  • 21.
  • 22. CMM CMM – Coordinate Measuring Machine yi a + b xi y = a + bx ei = yi – (a + b xi )
  • 26. Compute straightness for following data captured using CMM (10.03, 29.98) (12.96, 39.02) (40.05, 119.89) (14.94, 45.1) (50.0, 149.88)
  • 27. (x – xc) r + (y – yc) r + (z – zc) = r2 x2 + y2 +z2 + xc 2 +yc 2 + zc 2 – 2xxc – 2yyc – 2zzc = r2 (xc 2 +yc 2 +zc 2 - r2 )/2 – xxc – yyc - zzc + (x2 +y2 +z2)/2 = 0 Let (xc 2 + yc 2 + zc 2 – r2 )/2 = K Then xxc + yyc + zzc – K = ( x2 +y2 +z2 ) /2 x1xc + y1yc + z1zc – K = ( x1 2 +y1 2 +z1 2 ) /2 x2xc + y2yc + z2zc – K = ( x2 2 +y2 2 +z2 2 ) /2
  • 29. A * X = B ATA X = ATB X = (ATA)-1 ATB