New shape design method of an epicycloidal gear for an epicycloid drive

摘要

This paper proposed a new approach to the shape design of an epicycloidal gear, which is a key part of an epicycloidal drive with a fixed outer ring. Applying the concept of instant center of velocity of a contact mechanism to the drive, this paper derived the analytical equation fot designing the epicycloidal plate gear, including the generation of curve conjugated to the pin-tooth of an outer ring and the calculation of transmission angles and determination of the contact points. This method has been completed by three steps: the first is to find the instant center of velocity for the epicycloidal drive; the second is to determinate the transmission angles and the contact points in the special coordinate systems; and the last is to generate the full shape of the epicycloidal gear by the coordinate transformation technique. A program for design automation of shape of the cycloidal gear has been developed with C~(++) language. Finally, an example was given to demonstrate the feasibility of the application.