Mathematical machining model and simulation of limacon gear set

Limacon gear is a new kind of non-circular gear, and its gear set have precise transmission ratio. The principle of generating method is that tooth profile of the conjugated gears can form envelope graph to each other. Aimed at the processing problem of limacon gear set with involute tooth profile, the tooth profile equation of the gear shaping cutter was established. The position relationship between the cutter's and the gear's pitch curve was analyzed, and a simpler machining mathematical model was put forward. The gear set machined with this model have been put into practice, and have gained favorable effect. So this model is important to designing and manufacturing limacon gear set both in theory and in practice.