Study on Design Constraints of Conjugated Straight-Line Internal Gear Pair

In order to solve the problem that design constraints of conjugated straight-line internal gear pair are unclear, designing and checking pairs requires repeated trial error. By analogy with involute pair, basic parameters were clarified. Based on mathematical model given according engagement theory geometrical relations tooth profile. The calculation formula constraint contact ratio deduced kinematic relations. Litvin’s undercutting theory, avoiding end cutting their correctness was verified by examples. judgment method tooth-overlapping interference its corresponding numerical flow presented. radial analyzed. above content, influence laws studied. Last, examples effective diagram summarized. These research results provide a theoretical basis for parameter pairs, guidance avoid promote system pair.