Study of the gear formed by a star wheel with trapezoidal profile and its conjugated worm

Abstract

The paper presents an analysis based on a complementary theorem concerning the enwrapped profiles – the Generating trajectories method, regarding the profile of the cylindrical worm conjugated to a star-wheel having teeth with trapezoidal profile. This type of gear can be met at the so called “single screw compressors” or in transmissions with kinematical purpose, working at low torques. An algorithm dedicated to find the worm profile has been developed. The specific problems of both primary interference and assemblage interference have been addressed. A numerical application for sampling the analytical results application in practice is also included.