Research on meshing theory of noninvolute beveloid gears
摘要
A mathematical model has been developed using the space engagement theory and the differential ge-ometry for the line contact of noninvolute beveloid gears with intersecting axes with their tooth profile equationsand engagement equations established for the first time and their meshing theory analysed. It can be seen fromthe fact that the tooth profile equation finally derived is no longer a standard involute helicoid and standard invo-lute beveloid gears with intersecting axes have no way to satisfy the line contact requirement. However, the non-invdute beveloid gears derived in this paper satisfy the line contact requirement very well. All these work willinevitably facilitate further investigations into gear tooth generation, stiffness, backlash and efficiency of trans-mission.