正交面齿轮传动的两类界线OA北大核心CSTPCD

In order to establish the theory of two kinds of limit line is set forth for the orthogonal face gear drive.By solving the nonlinear equations,the numerical solutions of the limit lines are obtained.It is proved that both the meshing limit line and its conjugate line are all involute.Generally,the interference limit line has two branches,and one branch near the gear exists approximately at its inner end,roughly along the tooth height and slightly aslant.The interference limit point has a trivial solution,and the related limit point is the intersecting point of the limit line and the conjugate line of meshing limit line.The trivial limit point is on the instantaneous axis of the rela-tive rotation of the gear pair.By means of the theory proposed,a method based numerical iteration to compute the exact inner radius is proposed for the face gear without undercutting.Meanwhile an approximate formula to estimate the non-undercutting inner radius is put forward for convenient design.