Level 1 Training
Welcome to Brown & Sharpe’s
Telford Technical Centre
Developed By:
Ryan Stauffer
Application Engineer Commercial Operations Measuring Systems Group
Metrology House Halesfield 13, Telford Shrops. TF7 4PL. e Additional Information Peter Hughes Training Officer
Course Objectives
• Understand why and how a Probe Qualification is performed
• Get a thorough understanding of how we create
Part Alignments
• Understand how PC-DMIS handles Solid Geometry • Learn how to Edit your part programs
• Write a logical, organized part program from beginning to end
The Cartesian
Coordinate System
X Z Y Z X YX
Z
Y
The Cartesian Coordinate System
ORIGIN
The measurement
VOLUME of a CMM can be represented by a cube. Each
direction within the cube is an AXIS. The
ORIGIN is the location where all three axes intersect.
X
Z
The Cartesian Coordinate System
Y
| | | | | | | | 10 0 10 5 5 10 5 Each axis is divided into equal divisions, representing the units of measurement. Any point in the measurement cube can bedefined in terms of a unique X, Y, and Z value.
X
Z
The Cartesian Coordinate System
0
Y
| | | | | | | | 10 5 0 10 5 0 5 10What are the coordinates of:
X = 10
Y = 5
Z = 5
Y
| | | | | | | | 10 5 0 10 5 0 5 10X = 0
Y = 0
Z = 5
Y
| | | | | | | | 10 5 0 10 5 0 5 10X = 10
Y = 10
Z = 0
Probe Head (Wrist) &
Articulating Probe Head
The A axis
rotates from
0° to +105°
in 7.5°
increments
Articulating Probe Head
B axis rotates
from -180° to
+180° in 7.5°
increments
Touch Trigger Probes
Mechanical Probes such as the TP2 contain 3 electrical contacts. When the stylus is deflected, at least one of the contacts is broken. At this instant, the machine’s X, Y, and Z scales are read. These values represent the ball
center position of the stylus at the time of contact.
Contact Broken
Touch Trigger Probes
Touch Probe Example #1 : Measuring point on side of part Recorded pointTouch Trigger Probes
Touch Probe Example #2 :
Crashing into part with high velocity
Bent probe tip
Probe Qualification
Artifact with Known Diameter, Traceable to National Standards
PROBE QUALIFICATION is the process of defining effective probe diameter
and position of the probe tip for measurement. To
accomplish this, a
qualification artifact with
a known diameter is
measured with the probe tip to be qualified. Probe with Unknown Position and Diameter to be Qualified
Probe Qualification
Ball Centre coordinates at each measurement point around the artifact are compared to the known artifact diameter. The
effective probe diameter is calculated from the
difference between this diameter and the diameter of the spherical pattern of the measured points.
Effective Probe Radius
Working Planes Of
PcDmis
PC-DMIS Working Planes
X
Z
Y
ORIGIN In PC-DMIS, it is important that the correct WORKING PLANE is specified for measuring circles, calculating 2D distances, etc. The availableworking planes are: Y MINUS
Z PLUS Y PLUS X MINUS X PLUS Z MINUS
PC-DMIS Working Planes
What Is A Working Plane
The working plane is the view that you are
currently looking from, for instance if you wish to
measure the top surface of a part, then you are
working in the ZPLUS working plane. If you are
measuring features in the front face you are in the
YMINUS working plane. This selection is
important when you are working in polar
co-ordinates, because PcDmis uses the working plane
to decide where Zero Degrees (start point) is for
that work plane.
PC-DMIS Working Planes
* In the Zplus plane, zero deg is in the +X direction
and 90 deg is in the +Y direction.
* In the Xplus plane, zero deg is in the +Y direction
and 90 deg is in the +Z direction.
* In the
Yplus plane, zero deg is in the -X direction
and 90 deg is in the +Z direction.
+ X
+Y
0 deg 45 deg 90 deg 135 deg 180 deg 225 deg 270 deg 315 degVectors
Directional Cosines
I K
Vectors
X Z
Y Directions of features
and directions for probe approach to a point are represented by VECTORS. A
vector can be thought of as a line 1 unit long, pointing in the
direction of the vector.
(+I direction) (+J direction) (+K direction)
The directions of a
vector relate to the three axes of the coordinate system. The I direction is the direction of the
X axis, J direction is the direction of Y, and K is the direction of the
Vectors
X Z Y (+I direction) (+J direction) (+K direction)What is the vector direction of :
I = 1.0
J = 0.0
K = 0.0
X Z Y (+I direction) (+J direction) (+K direction)I = 0.0
J = 0.0
K = -1.0
I = 0.7071
J = 0.7071
K = 0.0
Cosine of 45
o 45°Incorrect Vector = cosine error
Introduced Error
Normal Vector
Expected Contact Point Nominal Contact Point
Approach Direction
Angle
Probe Dia 0.5 1.00 2.00 3.00 4.00 6.00 Angle Error Magnitude of error introduced by not probing normal to surface
1.0° 0.0000 0.0001 0.0002 0.0002 0.0003 0.0005 5.0° 0.0010 0.0019 0.0038 0.0057 0.0076 0.0115 10.0° 0.0039 0.0077 0.0154 0.0231 0.0309 0.0463 15.0° 0.0088 0.0176 0.0353 0.0529 0.0709 0.1058 20.0° 0.0160 0.0321 0.0642 0.0963 0.1284 0.1925
Alignment
Alignment is the process of establishing a part
coordinate system, where the Axes of the part and CMM are the same.
Three things are needed to complete a part alignment:
• A LEVEL (Any measured feature with a vector direction). The level feature controls the orientation of the working plane. • A ROTATE AXIS (Any measured feature with a vector
direction). The rotate feature needs to be perpendicular to the level feature. This controls the “timing” or rotational position of the axes relative to the working plane.
• An ORIGIN (Any measured feature or features which define the X, Y, and Z zero point of the part).
Machine Home Position
Desired Part
Coordinate System
Alignment
Level Feature = Plane
Rotate Axis Feature = Line
Origin Feature = Circle
STEP 1 : Level Z Axis to Plane STEP 2 : Rotate X Axis to Line
STEP 5 : Translate Z Origin to Plane
ALIGNMENT
COMPLETED!!!!
ALIGNMENT
COMPLETED!!!!
STEP 3 : Translate X Origin to Circle STEP 4 : Translate Y Origin to Circle
Machine Home Position
Required Part Origin Position
Alignment
Level Feature = Plane
Rotate Axis Feature = Line
Origin Feature = Corner
STEP 1 : Level Z Axis to Plane STEP 2 : Rotate X Axis to Line
STEP 5 : Translate Z Origin to Plane
ALIGNMENT
COMPLETED!!!!
ALIGNMENT
COMPLETED!!!!
STEP 3 : Translate X Origin to Point STEP 4 : Translate Y Origin to Line
How To Align a Part
Measure 3 Points To Create Plane Measure 2 Points To Create Line
Alignment How To Do It
Click The Utilities
Option And Then Select
Alignment How To Do It
From The Features List Select
PLN1 LINE1 PNT1
Click On Auto Align
PcDmis will automatically align the part by Levelling and setting Z zero to
PLN1
Rotate and set Y zero to LINE1, and then set X zero to PNT1.
Basic Geometric Elements
Element: POINT
Min Points: 1
Position: XYZ location
Vector: None Form: None 2D/3D: 3D EXAMPLE
Y
5 5 5Z
X
Output X = 5 Y = 5 Z = 5Basic Geometric Elements
Element: LINE Min Points: 2 Position: Centroid Vector: From 1st to last point Form: Straightness 2D/3D: 2D/3D EXAMPLEY
5 5 5Z
X
Output X = 2.5 I = -1 Y = 0 J = 0 Z = 5 K = 0 1 2Basic Geometric Elements
Element: CIRCLE Min Points: 3 Position: Centre Vector*: Matches reference plane Form: Roundness 2D/3D: 2D EXAMPLEY
5 5 5Z
X
Output X = 2 I = 0 D = 4 Y = 2 J = 0 R = 2 Z = 0 K = 1 1 2 3* The vector of a circle is only for measurement purposes, and does not uniquely describe the feature’s geometry.
Basic Geometric Elements
Element: PLANE Min Points: 3 Position: Centroid Vector: Perpendicular Form: Flatness 2D/3D: 3D EXAMPLEY
5 5 5Z
X
Output X = 1.67 I = 0.707 Y = 2.50 J = 0.000 Z = 3.33 K = 0.707 1 3 2Basic Geometric Elements
Element: CYLINDER
Min Points: 5
Position: Centroid
Vector: From 1st level of
hits to last level
Form: Cylindricity 2D/3D: 3D EXAMPLE
Y
5 5 5Z
X
X = 2.0 I = 0 D = 4 Y = 2.0 J = 0 R = 2 Z = 2.5 K = 1 2 3 5 4 1Basic Geometric Elements
Element: CONE
Min Points: 6
Position: Apex
Vector: From 1st level of
hits to last level
Form: Conicity 2D/3D: 3D EXAMPLE
Y
5 5 5Z
X
X = 2.0 I = 0 A = 43deg Y = 2.0 J = 0 Z = 5.0 K = 1 2 3 5 6 4 1Basic Geometric Elements
Element: SPHERE
Min Points: 4
Position: Centre
Vector*: Toward North
Pole of Hits Form: Sphericity 2D/3D: 3D EXAMPLE
Y
5 5 5Z
X
X = 2.5 I = 0 D = 5.0 Y = 2.5 J = 0 R = 2.5 Z = 2.5 K = 1 1 2 4 3* The vector of a sphere is only for measurement purposes, and does not describe the feature’s geometry.
Constructed Features
Points
Constructed Features
POINT : AT ORIGIN X Z Y POINT A point is constructedat the origin of the current alignment
system. Coordinates of the point will be 0, 0, 0.
Constructed Features
POINT : CAST
A point is created at the centroid of the selected feature. Its coordinates (x y z) are equal to that of the Circle
POINT INPUT : CIRCLE1
Constructed Features
POINT : CORNER
A point is created at the intersection of three planes. INPUT : PLN1 PLN2 PLN3 PLN1 PLN2 PLN3 POINT
Constructed Features
POINT : PIERCE
A point is created
where feature 1 pierces the surface of feature 2. The order of selection is Important INPUT : CYL1 PLN1
Y
5 POINT PLN1 CYL1Constructed Features
POINT : OFFSET X Z Y POINT A point is created at thespecified offsets from the selected feature. INPUT : PNT1 X Offset = 0 Y Offset = 4 Z Offset = 1 PNT1 5 5 5
Constructed Features
POINT : INTERSECT
A point is created at the location where the two selected features cross.
POINT INPUT : LINE1
LINE2
LINE1 LINE2
Constructed Features
POINT : DROP
A point is created by projecting the first
feature’s centroid onto the second feature (line, cone, cylinder, or slot).
POINT INPUT : CIRCLE1
LINE1 LINE1
Constructed Features
POINT : MID
A point is created at the midpoint of the two
selected features.
POINT INPUT : CIRCLE1
CIRCLE2
Constructed Features
POINT : PROJECT INPUT : PNT1 PLN1 A point is created by projecting the feature onto the selected plane.PNT1 PLN1
Constructed Features
Circles
Constructed Features
CIRCLE : BF INPUT : CIR1 CIR2 CIR3 CIR4 A best-fit circle iscreated through the selected features. CIR1 CIR4 CIR3 CIR2 CIRCLE
Constructed Features
CIRCLE : CONE
INPUT : CONE1
DIAMETER = 2” A circle is created
inside a cone at the specified diameter.
4” CONE1
2” CIRCLE
Constructed Features
CIRCLE : INTERSECT
INPUT : CONE1 PLN1
A circle is created at the intersection of a plane and a cone, cylinder, or sphere.
CONE1
CIRCLE
Constructed Features
Lines
Constructed Features
LINE : ALIGNMENT X Z Y LINE A line is created alongan axis of the current coordinate system, perpendicular to the current working plane.
CURRENT
WORKPLANE = Z+
Constructed Features
LINE : BF
A best-fit line is created through the selected
features. INPUT : CIR1 CIR2 CIR2 CIR1 LINE
Constructed Features
LINE : INTERSECT
INPUT : PLN1 PLN2
A line is created at the intersection of two
planes.
PLN2
PLN1 LINE
Constructed Features
LINE : PERP
A line is created
perpendicular to the first selected feature, passing through the second feature
INPUT : LINE1
CIRC1 LINE1
CIRC1
Constructed Features
LINE : PARALLEL
A line is created parallel to the first selected feature, passing through the
second feature.
INPUT : LINE1
CIRC1 LINE1
CIRC1
Constructed Features
LINE : REVERSE
INPUT : LINE1
A new line is created in the opposite direction of the selected line.
LINE
Constructed Features
LINE : OFFSET
A line is created through the centre of the first
feature, passing by the second feature at the specified offset. INPUT : CIR1 CIR2 OFFSET = 1” CIR2 CIR1 LINE
Dimensioning Features
Location
Dimensioning Features
LOCATION
The dimension LOCATION option reports the specified
characteristic of the selected feature. Characteristics that can be reported are:
ang rad
Dimensioning Features
LOCATION X Z Y CIR1 1 2 3 2 3 1 EXAMPLE: Reporting CIR1 X = 2 Y = 2 Z = 0 D = 2 R = 1 2 1 2 1 0Dimensioning Features
LOCATION X Z Y CONE1 1 2 3 3 1 EXAMPLE: Reporting CONE1 A = 60° V = 0, 0, 1 (I, J, K) 2 1 0 2 60°Dimensioning Features
LOCATION X Z Y POINT1 1 2 3 2 3 1 EXAMPLE: Reporting POINT1 Prad = 2.828 Pang = 45° 2 1 0 45°Dimensioning Features
True Position
Dimensioning Features
TRUE POSITION
The following is an example of “normal” tolerancing of a Circle:
2.00 ± .05 1.00 ± .05
1.00 ± .05 0.1
Dimensioning Features
TRUE POSITION
Zooming in on the theoretical circle centre...
GOOD OUT OF TOLERANCE Location of measured circle centre: 2.05 .95 1.95 1.05
Dimensioning Features
TRUE POSITION
Why are two points the same distance from nominal not both in tolerance? GOOD OUT OF TOLERANCE True Position tolerance zone
True Position tolerancing creates a circular tolerance zone, which better judges parts based on the fit and function of mating parts
MMC
Maximum Material Condition
True Position
40 30 Ø0.15 A Ø20+/- 0.2 Dia Bonus MMC 19.80 0 0.15 19.90 0.10 0.25 20.00 0.20 0.35 20.10 0.30 0.45 20.20 0.40 0.55NB: The bonus will not be applied if the Dia of the hole is out of tolerance
MMC -MMC
Maximum Material Condition - Maximum Material Condition
True Position
Dia A Dia 2 MMC - MMC 19.80 19.80 0.15 19.90 19.90 0.35 20.00 20.00 0.55 20.10 20.10 0.75 20.20 20.20 0.95 40 30 Ø0.15 A Ø20+/- 0.2 Ø20+/- 0.2 ALMC
Least Material Condition
True Position
Dia Bonus LMC 19.80 0.40 0.55 19.90 0.30 0.45 20.00 0.20 0.35 20.10 0.10 0.25 20.20 0. 0.15 40 Ø0.15 A Ø20+/- 0.2LMC - LMC
Least Material Condition - Least Material Condition
True Position
Dia A Dia 2 LMC-LMC 19.80 19.80 0.95 19.90 19.90 0.75 20.00 20.00 0.55 20.10 20.10 0.35 20.20 20.20 0.15 Ø20+/- 0.2 40 Ø0.15 A ADimensioning Features
2D Distances
Dimensioning Features
DISTANCE 2D
The 2-dimensional distance option calculates distances between features within the current working plane.
TYPICAL 2D DISTANCE USAGE : Point to Line or Circle to Circle or Circle to Line
Dimensioning Features
DISTANCE 2D
When calculating a 2-Dimensional distance, you have many options to determine which distance to report. For Example, you could report these distances from CIR1 to CIR2 : DIST1 DIST 2 X Y CIR2 CIR1
Dimensioning Features
DISTANCE 2D DIST1 DIST2 X YThe options available are:
• Centre to Centre • To Feature • To X Axis • To Y Axis • To Z Axis • Parallel to • Perpendicular to DIST1 can be created using: • To X Axis, Parallel to
• To Y Axis, Perpendicular DIST2 can be created using: • To Y Axis, Parallel to
• To X Axis, Perpendicular DIST3 can be created using: • Centre to Centre (no “To” axis selected)
Dimensioning Features
DISTANCE 2D
The “To Feature” option can be used when a distance to be calculated is not parallel or
perpendicular to an axis of the current coordinate system.
The order of feature selection is important for this option. The distances are calculated to either
Perpendicular or Parallel to the SECOND feature, based on your selection.
Dimensioning Features
DISTANCE 2D
How can you report the overall length of this part? Measure a line on one side, a point on the other.
LINE1
PNT1 DISTANCE
Report the 2D Distance from PNT1 to LINE1, using the “To Feature” option, Perpendicular to LINE1.
Dimensioning Features
DISTANCE 2D
If you just click on PNT1 and LINE1, and choose no “To” option, the distance will be straight from the line’s centroid to PNT1. THIS IS NOT
WHAT YOU WANT!!!!!!!!!!!!!!
LINE1
Dimensioning Features
DISTANCE 2D
When calculating 2-Dimensional distances, it is very
important that the correct WORKING PLANE is selected. In the last example, the working plane was set to Z PLUS.
X Y Z PLUS Working Plane
Dimensioning Features
DISTANCE 2D
The ADD RADIUS and SUB RADIUS option modifies the calculated distance to include or subtract the radii of dimensioned circles. X Y Normal Distance ADD RADIUS Distance SUB RADIUS
Dimensioning Features
3D Distances
Dimensioning Features
DISTANCE 3D
3-dimensional distances calculate the shortest distance between two features, regardless of the working plane.
Dimensioning Features
DISTANCE 3D 3D Distance from PNT1 to PLN1 PLN1 PNT1 DISTANCE EXAMPLE:Dimensioning Features
ANGLES
An angle is created at the intersection of two lines
LINE 1
LINE 2
ANGLE
Perpendicularity
0.15 A
A
0.15 Wide Tolerance Zone
Possible orientation of the actual surface
Parallelism
0.15 Wide Tolerance Zone
Possible orientation of the actual surface
A 0.15 A
Angularity
35° 0.5 A A 35° A0.5 Wide Tolerance Zone
Possible orientation of the actual surface