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C. Description of the sequential step diagonal path The machine spindle is programmed to move in a diagonal path within the working volume, starting from one corner at the base plan and  moving  to  the  opposite  corner  at  the  top  plan.  There  are  eight body diagonals. We define the eight body diagonals by the positive or negative  axis  movement.  For  example, ppp means from the starting corner (smallest machine coordinates) to the opposite corner (largest machine coordinates); all three axes move with positive increments. The  npn  means  from  the  starting  corner  (largest  x-axis  coordinate, smallest machine y-axis coordinate, and largest z-axis coordinate) to the   opposite   corner   (smallest   x-axis   coordinate,   largest   machine y-axis  coordinate, and smallest z-axis coordinate), the y-axis moves with positive increments and the x axis and z axis move with negative increments.  The  eight  body  diagonals  are  ppp,  npp,  pnp,  ppn,  nnn, pnn, npn, and nnp. The last four body diagonals are the same corners as the first four diagonals except the directions are reversed. Hence, there are only four body diagonal directions with forward movement and reverse movement (bidirectional). More specifically, first define the starting point (Xs, Ys, and Zs) and the end point (Xe, Ye, Ze) for the first diagonal ppp. The working volume is defined by (Xe-Xs)*(Ye - Ys ) * ( Ze - Zs ) . The number of increments per axis is n and the total number of increments is 3n. The measurement increments X, Y, and Z, which are limited by the size of the flat mirror, and the number of steps per axis n, are determined by the following relations: X=(Xe-Xs)ln, Y=(Ye-Ys)ln, and Z=(Ze-Zs)ln. The machine spindle is programmed to move in an XYZ sequence as shown in Fig. 2, that is, starting from (Xs, Ys, and Zs). More X in the x  direction  at  a  feed  rate  F  (usually  between  20%  and  80%  of  the maximum feed rate). Stop for a dwell time of T seconds (usually 1-5 s,   depending   on   the   machine   structure),   then   move   Y   in   the   y direction at the same feed rate and stop for the same dwell time, then move  Z  in  the  z  direction  at  the  same  feed  rate  and  dwell  time. Continue  the  sequence  until  the  opposite  corner  is  reached.  For bidirectional  data,  reverse  sequence  to  ZYX  back  on  the  diagonal path. For this diagonal, since all three increments are positive, we call this ppp, and the reverse nnn. For the second diagonal, npp or the reverse pnn, change the starting point to Xe, Ys, and Zs and the increments to -X, Y, and Z. Similarly, for the third diagonal npn the starting point is Xe, Ys, Ze with increments of -X, Y, and -Z. For the fourth diagonal ppn the starting point is Xs, Ys, Ze with increments of X, Y, and - Z. For most of the tests here the working volume is 500 mm X 500 mm X 500 mm. The increments are X = 25 mm, Y= 25 mm, and Z= 25 mm, and the number of steps is n = 20. D. Data collection and processing Using the Optodyne WindowsTM software, 3 the data collections are automatic. Once the data from each diagonal are collected, click on the four diagonal in the analysis portion of the program and enter all four files, and the volumetric errors for the x-axis motion, y-axis motion, and z-axis motion can be calculated and plotted. The results can be saved as output files to generate compensation files. E. Machine compensation procedure First  measure  the  volumetric  positioning  errors  of  the  machine without  compensation.  Use  the  analysis  software  to  calculate  the volumetric positioning errors and save the data in an output file. Use an appropriate program to convert the Click here to download this article Next home