Page 47 - Cam Design Handbook
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THB2  8/15/03  12:48 PM  Page 35

                                        BASIC CURVES                        35

                           Jerk, y''' = •                           Jerk, y''' = •





                                                     Displacement, y
                                                                         Dwell
                          y, y', y", y'''  Velocity, y'
               C

                  5         D                                         h

                       3
                         1
                           A      Cam angle q                      b
                   Dwell
                                              Jerk, y''' = •  Acceleration, y"




            FIGURE 2.4.  Constant acceleration curve—DRD cam.






            substituting in Eq. (2.12)
                                              2 h
                                          C =
                                              b  2

                                               2 h
                                displacement  y =  q  2                   (2.17)
                                               b  2
                                               4 h
                                velocity    y ¢ =  q                      (2.18)
                                               b  2
                                                4 h
                                acceleration  y ¢¢ =  = a constant        (2.19)
                                                b 2
            jerk y¢≤ = 0 except at dwell ends and the midpoint

                                          b
                                           ££   b
                                             q
                                          2
            In the other half of the curve (negative acceleration), the displacement is
                                              q
                                      y =  C +  C +  C q  2               (2.20)
                                                  2
                                              1
                                          0
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