Fundamental Analysis of a Linear Type Trochoidal Gear (3rd Report)

To realize a positioning with high accuracy for straight-corner slide system, the internal gear type trochoidal corner curve rack system has been developed. This system consists of a straight trochoidal rack, a corner curve rack with internal gear type trochoidal cam tooth, a roller pinion and a linear-corner slide system. Also the tooth profile is generated using trochoidal curve loci. In this report, the motion principle is analyzed using the polar complex vectors analysis which is similar to the linear motion type cam rack. And to eliminate a backlash on the connecting section of a straight rack and a corner rack, the conditions to modify the teeth profile are shown. It is proved that a reduction ratio and a tooth height are limited to keep the non-backlash meshing for the straight-corner slide system. Also the combination of each profile shifting coefficient of the straight rack and the corner curve rack is limited.