GEOMETRIC GENERALIZATION THE CONSTRUCTION OF GEARINGS

Abstract

Some issues of the definition and understanding of the basic terms of the theory of gear meshes are considered, new terms are proposed, and the generality of the construction of any meshes is given. It’s known that an integral part that determines their quality and reliability, are gears, being one of the most common types of mechanical transmissions.

The relevance of the topic is determined by the need to research and improve existing and create new technological gearing schemes. Studies have shown that only by changing the geometry of the gearing, it is possible to achieve a significant improvement in the working conditions of the gearing, increase the service life while maintaining other conditions.

In the technical literature there are such definitions, for example, «flat gearing», «line of gearing of helical wheels», «theorem of spatial gearing»… The article indicates that the concept of «flat engagement» is not entirely correct. It is more correct to characterize a flat or spatial transmission, while the engagement may be the same in these cases; «the line of engagement depends on the type of engagement itself, but not on the wheels themselves; the theorem for «flat links» is the same as for «spatial links».

In the work it is proposed to give the name «module» as a geometric criterion of gear transmission – «transmission module», on which the dimensions of the transmission depend, on which the working section of the gearing line already depends.

The definition of «engagement axis» is inextricably linked with the definition of «engagement plane», which is practically not used at all in the theory of engagement. It is proposed to use the concept of «engagement plane», which conciders each gear as a flat one.

The definitions of «engagement angle», and other concepts, such as «overlap coefficient», «specific slip coefficient» are specified.

Ideas for further research related to the topic of the geometric parameters of gears, their theoretical characteristics are proposed.

The prospect of continuing the indicated direction of research, implementation in various innovative developments with proposals for joint research work and discussion of this topic is given.

Key words: flat gear; spatial gear; module; gearing axis; gearing line; gearing angle; overlap coefficient.