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m e a s u r e m e n t Laser displacement measurement CHARLES WANG TAKING CARE OF PROBLEMS EARLY MEANS THAT REPAIRS WON'T COST AS MUCH AND THEY WON'T CONTRIBUTE TO OTHER MORE SERIOUS PROBLEMS Competition    in    global    manufacturing    today    requires improving  machine  tool  performance  to  achieve  higher productivity, better quality and less downtime. Calibrating machine tools to catch errors before they appear in parts enables manufacturers to produce higher-accuracy parts, reduce assembly time and lower warranty costs. To keep up  with  the  speed  and  increased  accuracy  requirements, the  machines  have  to  be  kept  within  tolerance,  which means laser volumetric calibration and compensation are very important. Regularly    scheduled    calibration    can    help    identify problems   with   machine   tools   such   as   bad   bearings, hallscrew  problems,  and  loose  gibs  and  so  on,  enabling shops  to  schedule  maintenance  and  reduce  downtime, particularly during critical production runs. Positioning   errors   in   straightness,   squareness,   angle and non-rigid body errors determine the performance or positioning    .accuracy    of    machine    tools,    coordinate measuring  machines  (CMMs)  and  precision  instruments. The characterization of a machine movement is complex. For   each   axis   of   motion,   there   are   six   errors:   linear, vertical  and  horizontal  straightness,  pitch  and  yaw  and roll angular errors. For a three-axis machine, there are 18 errors  plus  three  for  squareness,  a  total  of  21  errors.  A complete measurement of these errors is time consuming and  can  take  from  two  to  three  days.  Hence,  the  key  is the   measurement   efficiency.   It   is   impractical   to   stop production    and    spend    two    to    three    days    for    the calibration.   However,   using   a   laser   vector   technique (patent pending), three displacement errors, six straightness  errors  and  three  squareness  errors  can  be determined in a few hours instead of a few days. 3D positioning errors Machinists  know  that  calibrating  and  compensating  just the linear position is not enough, because it will not catch all the errors. By calibrating and compen- FIGURE 1. What is a volumetric error? sating   volumetrically,   you   get   a   much   more   accurate machine.    Volumetric    calibration    of    CNC    machines provides  a  check  of  the  machine  tool's  overall  accuracy and,  by  compensating  for  these  errors,  enables  tighter tolerances to be achieved. A displacement error is the (1-dimensional) positioning error  in  the  same  direction  as  the  axis  direction.  The volumetric    (3-dimensional)    positioning    error    is    the positioning  error  in  a  spatial  direction  not  necessarily  in the  direction  of  the  axis  motion.  Hence,  this  error  is  a vector     and     its     three     components     are     the     linear displacement error, the vertical straightness and horizontal straightness (see Figure 1). Using  a  conventional  laser  interferometer  to  measure these errors is complex, time consuming and costly. The problem is how to measure all these errors accurately and quickly. Vector measurement technique The   basic   concept   of   the   laser   vector   measurement technique    is    that    the    laser    beam    direction    (or    the measurement direction) is not parallel to the motion Reprinted with revisions, from the March 2001 edition of INDUSTRIAL LASER SOLUTIONS Copyright 2001 by PennWell Corporation

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