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0593_C16_fm  Page 572  Tuesday, May 7, 2002  7:06 AM





                       572                                                 Dynamics of Mechanical Systems


                       P16.13.2: Consider the follower rise function h(θ) shown graphically in Figure P16.13.2.
                       Let the transition between the rises (and falls) and dwells at 45, 135, 225, and 315° be
                       accomplished by cycloidal functions. Using singularity functions determine an analytical
                       expression for h(θ).

                                                          h(θ)

                                                        2.5 in.



                       FIGURE P16.13.2
                       Follower rise function with cycloidal                                    θ
                       transitions.                          0   45           135           225          315   360
                       P16.13.3: Repeat Problem P16.13.2 if the difference in the dwell elevations is 6.75 cm instead
                       of 2.5 in.
                       P16.13.4: Show that the cycloidal rise function of Problem P16.13.3 has finite values of the
                       derivatives of the acceleration rise function.
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