Page 320 - Cam Design Handbook
P. 320

THB10  9/19/03  7:28 PM  Page 308

          308                      CAM DESIGN HANDBOOK

                      Load






                                     Stress
                                                                   Stress
                                        Cam



                  (a) Straight roller.          (b) Crowned roller.
               FIGURE 10.18. Roller stress concentrations.





















                               FIGURE 10.19. Rolling action.


          considerable amount of detrimental sliding. Some of the factors are a jammed or dirty
          bearing race, fluctuations in the cam peripheral speed (especially in starting and stopping),
          backlash, misalignment, and the proportions of the positive-drive grooved roller follower,
          if used. Let us discuss these conditions, assuming that the roller is running properly on
          the cam surface, i.e., with its bearing lubricated and free of contaminants.
             The peripheral speed of a cam rotating at a constant speed, or starting and stopping, is
          continuously changing. This alternately accelerates and decelerates the cam roller, induc-
          ing a torque reaction that for pure rolling (Fig. 10.19) must be less than the moment of
          the static frictional force. Thus
                                       Ia <  m s FR r                   (10.7)

          where I = moment  of  inertia  of  roller  assembly,  including  needle  or  cylindrical  roller
                  bearing elements, lb-in-sec 2
              a = angular acceleration of roller, rad/sec 2
              m s = static coefficient of friction between cam and roller
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