Page 84 - Gear Technology Solutions
P. 84

6        The Undercut Phenomenon




                   6.1  What is Undercut?

                   The  first  questions  are,  where  does  the  undercut  come  from,  and  which
                   physical or kinematical effects lead to undercut? Then the following questions
                   are, can it be avoided and how, or can it be avoided only in certain cases?

                   A  comparison  between  a  tooth  profile  without  undercut  and  a  similar  profile
                   with  undercut  is  shown  in  Figure  1.  The  profile  at  the  left  side  of  Figure  1
                   shows a healthy profile with a root fillet radius which blends perfectly tangential
                   with the involute profile. In contrast, the right-side graphic in Figure 1 shows a
                   severe undercut resulting in a ridge on both sides of the tooth which weakens
                   the root and reduces the amount of profile depth, where the mating tooth can
                   mesh.



















                                    Figure 1: No undercut and undercut comparison


                   6.2  Rule of Involute Generation

                   The term “undercut” comes from “undercutting” which is a hollowing out of an
                   area because the cutting take place below a certain depth, where no involute
                   exists.  In  Figure  2  the  author  of  this  book  demonstrates  the  classroom




                                                                                                      69
   79   80   81   82   83   84   85   86   87   88   89