Research Regarding Modelling of Involute-Bevel Gears

Abstract

AbstractInvolute-bevel gears, as well as gears containing them, have a difficult “task” in motion transmission then gears with parallel axes. A difficulty is related to the fact that axes, although coplanar, are concurrent, thus, between driver gear axis and driven gear axis there is an angle “\( < \,180^{ \circ } \)”. Difficulty is even bigger, when the gear is considered bevel only gear only due to the fact that axes are concurrent, and only one gear is bevel gear, the other one being spur gear with straight teeth. Such gears can be used in many applications, although, more frequently in machine building resulting constructive and optimal exploitation solutions. It can be noticed, that analysis and synthesis of different types of gears formed from involute-bevel gears it’s made based on a particular example, with its peculiarities, which usually leads to a planar involute gear, (Alexandru et al. 1999; Bocian 1976; Herciu 2011; Szekely et al. 1981). In this paper, it’s elaborated a general theory of involute-bevel gears (starting from a gear with crossed axes), based on a new concept that reflects perfect reality. It presents the principle of geometric calculus of involute-bevel gears function of the manufacturing mode.Also, there are presented the methods of determination of the main characteristics of the gears that can be developed using these gears.KeywordsInvolute-bevel gearsNumerical modeling methodReference element