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1 Definitions and correlations of 3D volumetric positioning errors of CNC machining centers Ondrej Svoboda and Pavel Bach Research Center of Manufacturing Technology Czech Technical University in Prague, Czech Republic And Gianmarco Liotto and Charles Wang Optodyne, Inc., Compton, CA 90220 Email: optodyne@aol.com Abstract The  worldwide  competition  and  quality  standards  such  as  ISO  9000  and  QS  9000, demanded  tighter  tolerance  and  regular  maintenance  of  all  machine  tools.    To generate  good  quality  or  accurate  parts,  the  measurement  of  true  3  dimensional volumetric  positioning  accuracy  of  a  machine  tool  is  critical.    However,  the  3D volumetric accuracy has not been defined in the standards.    Currently,  both  the  ASME  B5(TC52)  and  ISO  230(TC39)  are  working  on  a  new definition of volumetric accuracy.   There are many possible definitions, such as the root mean square of the 3 axes displacement errors, the root mean square of the total errors  in  the  3-axis  directions,  the  maximum  4  body  diagonal  displacement  errors without  squareness  and  the  maximum  4  body  diagonal  displacement  errors  with squareness errors. Reported  here  are  some  definitions  of  3D  volumetric  positioning  errors  and  their correlations.    We  have  measured  the  positioning  errors  of  10  CNC  machine  tools, representing a selection of modern mid-size CNC machining centers.  Based on these measurement  results,  the  3D  volumetric  errors  using  various  definitions  can  be calculated.    It  is  concluded  that  the  4  body  diagonal  displacement  errors  with squareness errors correlate with the true 3D volumetric errors very well.  It may be used as a quick check of 3D volumetric accuracy of CNC machine tools. Keywords 3D positioning error, Laser calibration, CNC machines, ISO standards, Manufacturing.    ____________________________________________________________________ Presented in the IMTS 2004 Manufacturing Conference, Chicago, Il, September 8-10, 2004. .

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