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THB10  9/19/03  7:28 PM  Page 288

          288                      CAM DESIGN HANDBOOK

                                                   Cutter



                                          O 2
                                       s
                                R g
                                  O 1             Cam
                                                  profile
                                           r c
                                                Dq

                                                Cam center
                              FIGURE 10.2.  Increment cutting scallops.



          where
          r c = distance from center to cam profile, in
          R c = radius of cutter or grinder, in
          s = error or deviation from theoretical cam profile, in
          After  the  master  cam  is  completed  and  deemed  acceptable,  it  is  placed  in  an  analog
          machine tool (milling machine or otherwise) and run to duplicate the desired production
          cams. The accuracy of the production cams is about ±0.001in tolerance; Fig 10.3 shows
          the master cam analog cutting of a cylindrical cam.


          10.3 CONTINUOUS NUMERICAL
          CONTROL (CNC) CAMS

          Except in special cases, the use of the master cam analog duplication method for produc-
          tion cams has been replaced by CNC milling and CNC grinding of cam profiles. In the
          CNC machine, the tool is continuously cutting the workpiece. The computer controls the
          movement of the workpiece from position to position and provides a continuous cutting
          process. The cam profile is usually discretized, commonly at 0.25 to 0.5 degree incre-
          ments, for x, y locations around the cam. The information line is connected from the per-
          sonal computer (PC) to the cam production machine. The cutter-compensated cam chart
          is produced in several seconds.
             Norton (1988) has shown that in well-conditioned machine tools, the CNC methods
          of  cam  manufacturing  yield  better  results  than  do  analog  duplication  methods  of  cam
          manufacturing. Figure 10.4 presents a CNC machining center in operation. Figure 10.4a
          shows the machinist observing the milling operation. Note the carousel tool changer at
          the top left above the machine. Figures 10.4b and c are milling operations of cylindrical
          and radial cams, respectively. Usually, the cutting increments are 0.5 deg; increments may
          be larger for large cams. The increments are dependent on the pressure angle of the cam
          being cut. For high pressure angles, the increments may be reduced to correct for the flex-
          ibility in the smaller tool support structure. Figure 10.5 is an acceleration measurement of
          a  ground  4-5-6-7  polynomial  cam  showing  high-frequency  vibratory  errors.  Last,  the
          reader is referred to App. E, “CAD/CAM for a Medical Instrument Cam Mechanism,” for
          more on CNC cam manufacturing.
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