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Measurement and Standards:
                                             KOBA-Ball Bars




Ball Bars
A Monitoring System for Periodic Calibration of
Large Volume Coordinate Measuring Machines




Sphere Plates, At a Glance
⊕    Ideal for calibrating large volume measuring devices
⊕    Portable, accurate and easy to assemble
⊕    Available in standard lengths of 3 or 5 meters —longer
     available by request
⊕    Body consists of three rectangular aluminum extrusions
     which are foam filled for light weight and extreme rigid-
     ity.
⊕    Ceramic spheres are mounted along the top of the bar
     at certified intervals
⊕    Each sphere is held in place by patented, spring-
     mounted devices allowing movement along the length of
     the bar only.




Phone (586) 759-2400                             Fax (586) 759-2423
www.pmargage.com                              www.shoppwm.com 1
Measurement and Standards:
KOBA-Ball Bars




                            KOBA-
Significant Features of the KOBA-Ball Bar

⊕    Repeatability of measuring lengths by means of a
     3-point contact on the joint of the ball-distance tube.
⊕    Carbide contact points provide long-term stability
⊕    Simple calibration
⊕    Short set-up and take-down times
⊕    Easy handling due to light weight and maximum
     element lengths of 1800mm
⊕    Variable lengths and divisions
⊕    Constant axial force on the joint of the ball distance tube
⊕    Ceramic balls and special steel distance tubes are
     corrosion resistant
⊕    Carbon fiber distance tubes offer coefficient of thermal expansion
     close to 0 (zero)



Construction and Handling
The carrying body is a CFC-GFC
aluminum box filled with foam, the
most significant features of which
are high rigidity, good vibration
dampening and low weight. The
number of individual elements de-
pends on the total length. These
elements are securely held together
by fastening elements.
The fixing elements are ceramic
balls connected over spring ele-
ments which have retainers in their bases. The spring element provides
freedom of movement in axial direction which is essential for perfect bond-
ing between the ball and the distance tube. Stress is applied to the rods
and the balls which are lined up by means of a clamping unit with repro-
ducible force in the axial direction and which support themselves upon a
fixed skewback (springer) at the opposite end, thereby avoiding changes
in the length occurring due to varied pre-stress forces.



Phone (586) 759-2400                                       Fax (586) 759-2423
2 www.pmargage..com                                       www.shoppwm.com
Measurement and Standards:
                                                       KOBA-Ball Bars

The tube elements are designed to enable self-centering of the skewbacks
and the clamping units. The distance tubes are mode of stainless steel or
CFC and have a carbide 3point contact at the ends for the ceramic balls.
This form of contact ensures the best repeatability of measured lengths.
Why are distance tubes available in two materials?
                                     ⊕     Stainless Steel: measuring
                                     results from distance tubes of
                                     stainless steel, with a coefficient of
                                     thermal expansion of 16 x 10-6 K-1,
                                     reflect environmental influences.
                                     This means that fluctuations in
                                     temperature are reproduced in
                                     length deviations and present the
                                     actual uncertainty of measurement.
                                     ⊕     Carbon Fiber: distance tubes
                                     of CFC, with a coefficient of thermal
                                     expansion of 0 (zero), do not react
                                     to fluctuations in temperature and
                                     merely show the uncertainty of
                                     measurement of the measuring
                                     instrument with no influence from
                                     environmental conditions.
The KOBA-Ball Bar is mounted by means of a step bearing and a stable,
adjustable height support or two supports can be used for horizontal
mounting.
Because of its well-planned design, a completely dismounted test body
can be set up within 20 minutes, by one person. Changing the position of
the test body within the measuring volume can be made in minutes.
Ball Bar Application and Evaluation
The ball bar is adjusted and measured in various positions within the
measuring volume according to specific requirements. The arrangement
can be carried out in the direction of individual axes, of diagonals in the
measuring planes or of the space diagonals in the measuring volume of
the CMM to be examined. The recorded measuring values can be evalu-
ated in our GUK-KS software, which is independent of the CMM manufac-
turer and can administer up to 100 coordinate measuring machines.

Technical Data:
Attainable Lengths:              2,000mm t0 8,000mm
Divisions                        200mm, 300mm, 400mm, 500mm,
(distance between balls):        special distance on request
Useable vertical range           250mm to 3,000mm, depending
of height:                       on length
Probing elements:                Ceramic balls, 30mm diameter
Distance tubes:                  Stainless steel or CFC tubes with carbide
                                 3-point contacts
Weight:                          Approximately 8kg/m
Length of individual elements:   Maximum 1,800mm

Phone (586) 759-2400                                       Fax (586) 759-2423
www.pmargage.com                                        www.shoppwm.com 3
Measurement and Standards:
KOBA-Ball Bars

Ball Bar Calibration
Calibration of individual measuring
lengths can be carried out by the user
on an exact coordinate measuring
machine of normal construction size,
consequently the cost of calibration
is greatly reduced. For the purpose
of calibration, only the first supporting
body element is used. On this ele-
ments a small number of measuring
lengths, corresponding to the size of
the measuring machine, are mounted
using the clamping unit; the respective
pairs (i.e., ball 1 → rod 1 → ball 2 / ball
2 → rod 2 → ball 3, etc.) are meas-
ured and the values of the distances
of center points of balls are noted in a
calibration document.



1.    Calibration Object: The calibration object is an artifact (ball bar)
      which can be dismantles and is used for the calibration and interim
      checking of coordinate measuring machines. The artifact consists of
      10 distance tubes and 11 ceramic spheres.
2.    Calibration procedure: The ball bar is calibrated using a “calibration
      device for linear comparison standards” (DK Nr. 0372). The measur-
                                                      ing system of the de-
                                                      vice consists of a plane
                                                      mirror laser interfer-
                                                      ometer with a mobile
                                                      probing component
                                                      (Zeiss probe system)
                                                      and a permanently
                                                      mounted plane mirror.
                                                      A stabilized, dual-
                                                      frequency He-Ne laser
                                                      is used whose wave
                                                      length is corrected by
                                                      the refractive index of
                                                      air determined in ac-
                                                      cordance with the
                                                      Edlen formula
                                                      (parameter method).
                                                      Traceability to the unit
                                                      length “meter” is estab-
      lished by calibration of the overall measuring system, using parallel
      gage blocks of the nominal size 50mm (official label 0274 PTB 98), of
      the nominal size 500mm (official label 111 PTB 96) and of the nominal
      size 1,000mm (official label 110 OTB 96).
      The respective sphere mid-point distances of the different combina-
      tions , e.g. sphere 1 → bar 1 → sphere2, sphere2 → bar 2 → sphere
      3, etc. were measured.
3.    Ambient Conditions: the temperature, air pressure and humidity
      during measurement have been recorded on a data carrier in the
      calibration lab and can be communicated if necessary.


Phone (586) 759-2400                                         Fax (586) 759-2423
4 www.pmargage..com                                         www.shoppwm.com
Measurement and Standards:
                                                         KOBA-Ball Bars

4.     Measurement Results: the calibration results indicate the sphere
       mid-point distances of combinations:
       The lengths are specified relative to the reference temperature of
       20° C and to the metrological condition of the ball during calibration.
       A linear thermal expansion coefficient of 11.5—10-6 K1 was used to
       reduce the results of 20° C.
5.     Measuring Uncertainty: the measuring uncertainty for the sphere
       mid-point distance is U=0.4µm + 2 x 10-6=L, L=the length of the bar.
       The specification indicates the upgraded measuring uncertainty

            Combination                 Sphere mid-point           T1 (°C)
                                         distance (mm)
 Sphere 0 → Bar 1-2 → Sphere 1             500.09970               20.05

      Sphere 1 Bar 1-2 Sphere 2             200.20707              20.03

     Sphere 2 Bar 2-3 Sphere 3             500.26838               20.04

      Sphere 3 Bar 3-4 Sphere 4            500.46535               20.04

     Sphere 4 Bar 4-5 Sphere 5              500.30931              20.05

     Sphere 5 Bar 5-6 Sphere 6             500.39038               20.04

     Sphere 6 Bar 6-7 Sphere 7             500.05702               20.03

     Sphere 7 Bar 7-8 Sphere 8              500.44678              20.06

     Sphere 8 Bar 8-9 Sphere 9              500.00810              20.09

     Sphere 9 Bar 9-10 Sphere 10            500.5244               20.08

1. Temperature of ball bar during measurement (uncertainty=0.03k)

       resulting from the multiplication of the standard measuring uncer-
       tainty by the factor k=2. It was determined in conformity with DKD-3.
       The values of the measuring parameter lie within the specified range
       with probability of 95%.




Phone (586) 759-2400                                         Fax (586) 759-2423
www.pmargage.com                                          www.shoppwm.com 5

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KOBA Ball Bar

  • 1. Measurement and Standards: KOBA-Ball Bars Ball Bars A Monitoring System for Periodic Calibration of Large Volume Coordinate Measuring Machines Sphere Plates, At a Glance ⊕ Ideal for calibrating large volume measuring devices ⊕ Portable, accurate and easy to assemble ⊕ Available in standard lengths of 3 or 5 meters —longer available by request ⊕ Body consists of three rectangular aluminum extrusions which are foam filled for light weight and extreme rigid- ity. ⊕ Ceramic spheres are mounted along the top of the bar at certified intervals ⊕ Each sphere is held in place by patented, spring- mounted devices allowing movement along the length of the bar only. Phone (586) 759-2400 Fax (586) 759-2423 www.pmargage.com www.shoppwm.com 1
  • 2. Measurement and Standards: KOBA-Ball Bars KOBA- Significant Features of the KOBA-Ball Bar ⊕ Repeatability of measuring lengths by means of a 3-point contact on the joint of the ball-distance tube. ⊕ Carbide contact points provide long-term stability ⊕ Simple calibration ⊕ Short set-up and take-down times ⊕ Easy handling due to light weight and maximum element lengths of 1800mm ⊕ Variable lengths and divisions ⊕ Constant axial force on the joint of the ball distance tube ⊕ Ceramic balls and special steel distance tubes are corrosion resistant ⊕ Carbon fiber distance tubes offer coefficient of thermal expansion close to 0 (zero) Construction and Handling The carrying body is a CFC-GFC aluminum box filled with foam, the most significant features of which are high rigidity, good vibration dampening and low weight. The number of individual elements de- pends on the total length. These elements are securely held together by fastening elements. The fixing elements are ceramic balls connected over spring ele- ments which have retainers in their bases. The spring element provides freedom of movement in axial direction which is essential for perfect bond- ing between the ball and the distance tube. Stress is applied to the rods and the balls which are lined up by means of a clamping unit with repro- ducible force in the axial direction and which support themselves upon a fixed skewback (springer) at the opposite end, thereby avoiding changes in the length occurring due to varied pre-stress forces. Phone (586) 759-2400 Fax (586) 759-2423 2 www.pmargage..com www.shoppwm.com
  • 3. Measurement and Standards: KOBA-Ball Bars The tube elements are designed to enable self-centering of the skewbacks and the clamping units. The distance tubes are mode of stainless steel or CFC and have a carbide 3point contact at the ends for the ceramic balls. This form of contact ensures the best repeatability of measured lengths. Why are distance tubes available in two materials? ⊕ Stainless Steel: measuring results from distance tubes of stainless steel, with a coefficient of thermal expansion of 16 x 10-6 K-1, reflect environmental influences. This means that fluctuations in temperature are reproduced in length deviations and present the actual uncertainty of measurement. ⊕ Carbon Fiber: distance tubes of CFC, with a coefficient of thermal expansion of 0 (zero), do not react to fluctuations in temperature and merely show the uncertainty of measurement of the measuring instrument with no influence from environmental conditions. The KOBA-Ball Bar is mounted by means of a step bearing and a stable, adjustable height support or two supports can be used for horizontal mounting. Because of its well-planned design, a completely dismounted test body can be set up within 20 minutes, by one person. Changing the position of the test body within the measuring volume can be made in minutes. Ball Bar Application and Evaluation The ball bar is adjusted and measured in various positions within the measuring volume according to specific requirements. The arrangement can be carried out in the direction of individual axes, of diagonals in the measuring planes or of the space diagonals in the measuring volume of the CMM to be examined. The recorded measuring values can be evalu- ated in our GUK-KS software, which is independent of the CMM manufac- turer and can administer up to 100 coordinate measuring machines. Technical Data: Attainable Lengths: 2,000mm t0 8,000mm Divisions 200mm, 300mm, 400mm, 500mm, (distance between balls): special distance on request Useable vertical range 250mm to 3,000mm, depending of height: on length Probing elements: Ceramic balls, 30mm diameter Distance tubes: Stainless steel or CFC tubes with carbide 3-point contacts Weight: Approximately 8kg/m Length of individual elements: Maximum 1,800mm Phone (586) 759-2400 Fax (586) 759-2423 www.pmargage.com www.shoppwm.com 3
  • 4. Measurement and Standards: KOBA-Ball Bars Ball Bar Calibration Calibration of individual measuring lengths can be carried out by the user on an exact coordinate measuring machine of normal construction size, consequently the cost of calibration is greatly reduced. For the purpose of calibration, only the first supporting body element is used. On this ele- ments a small number of measuring lengths, corresponding to the size of the measuring machine, are mounted using the clamping unit; the respective pairs (i.e., ball 1 → rod 1 → ball 2 / ball 2 → rod 2 → ball 3, etc.) are meas- ured and the values of the distances of center points of balls are noted in a calibration document. 1. Calibration Object: The calibration object is an artifact (ball bar) which can be dismantles and is used for the calibration and interim checking of coordinate measuring machines. The artifact consists of 10 distance tubes and 11 ceramic spheres. 2. Calibration procedure: The ball bar is calibrated using a “calibration device for linear comparison standards” (DK Nr. 0372). The measur- ing system of the de- vice consists of a plane mirror laser interfer- ometer with a mobile probing component (Zeiss probe system) and a permanently mounted plane mirror. A stabilized, dual- frequency He-Ne laser is used whose wave length is corrected by the refractive index of air determined in ac- cordance with the Edlen formula (parameter method). Traceability to the unit length “meter” is estab- lished by calibration of the overall measuring system, using parallel gage blocks of the nominal size 50mm (official label 0274 PTB 98), of the nominal size 500mm (official label 111 PTB 96) and of the nominal size 1,000mm (official label 110 OTB 96). The respective sphere mid-point distances of the different combina- tions , e.g. sphere 1 → bar 1 → sphere2, sphere2 → bar 2 → sphere 3, etc. were measured. 3. Ambient Conditions: the temperature, air pressure and humidity during measurement have been recorded on a data carrier in the calibration lab and can be communicated if necessary. Phone (586) 759-2400 Fax (586) 759-2423 4 www.pmargage..com www.shoppwm.com
  • 5. Measurement and Standards: KOBA-Ball Bars 4. Measurement Results: the calibration results indicate the sphere mid-point distances of combinations: The lengths are specified relative to the reference temperature of 20° C and to the metrological condition of the ball during calibration. A linear thermal expansion coefficient of 11.5—10-6 K1 was used to reduce the results of 20° C. 5. Measuring Uncertainty: the measuring uncertainty for the sphere mid-point distance is U=0.4µm + 2 x 10-6=L, L=the length of the bar. The specification indicates the upgraded measuring uncertainty Combination Sphere mid-point T1 (°C) distance (mm) Sphere 0 → Bar 1-2 → Sphere 1 500.09970 20.05 Sphere 1 Bar 1-2 Sphere 2 200.20707 20.03 Sphere 2 Bar 2-3 Sphere 3 500.26838 20.04 Sphere 3 Bar 3-4 Sphere 4 500.46535 20.04 Sphere 4 Bar 4-5 Sphere 5 500.30931 20.05 Sphere 5 Bar 5-6 Sphere 6 500.39038 20.04 Sphere 6 Bar 6-7 Sphere 7 500.05702 20.03 Sphere 7 Bar 7-8 Sphere 8 500.44678 20.06 Sphere 8 Bar 8-9 Sphere 9 500.00810 20.09 Sphere 9 Bar 9-10 Sphere 10 500.5244 20.08 1. Temperature of ball bar during measurement (uncertainty=0.03k) resulting from the multiplication of the standard measuring uncer- tainty by the factor k=2. It was determined in conformity with DKD-3. The values of the measuring parameter lie within the specified range with probability of 95%. Phone (586) 759-2400 Fax (586) 759-2423 www.pmargage.com www.shoppwm.com 5