Abstract
The formation of spiral teeth of bevel gears is one of the most complicated areas for simulation, synthesis and analysis of processes in the gear technology in general. The practical technique of production is also complex and specific with regard to equipment, tools and personnel. The main purpose of this manuscript is to present an alternative, simpler and cheaper method of spiral teeth generation with respect to production preparation. The paper gives reasons for the possibility of generating the spiral teeth of bevel gearwheels by two helical surfaces with the constant pitch. The idea of generation comes from the evident exterior similarity of gearwheels of non-orthogonal spiroid gears and bevel gears. The paper presents mathematical models of operating and machine-tool surface generating gearing schemes. The following stages of gearing synthesis are introduced: synthesis of the machine-tool meshing of the pinion; synthesis of the bevel gear scheme; synthesis of the machine-tool meshing of the gearwheel in accordance with local conditions stated at points that are arbitrarily chosen on opposite tooth flanks; and analysis of contact localization. Due to similarity of the problem statement, there exists a big enough number of parameters to control the tooth geometry. The paper presents the corresponding algorithm for the choice of machine-tool setting parameters, methods of calculation of flanks and transient tooth surfaces, and evaluation of the level of contact localization. Calculation examples, conclusions on their results and recommendations on the choice of parameters are given. In particular, the main features of the method are specified: narrowness of the area of possible solutions; acceptability and even request of a certain undercut of concave tooth flanks; the tooth spiral angle that is greater than that of traditional bevel gears; preferability of application of the proposed method for gear ratios 1…1.4. The obtained results give prospects of development of the cost-efficient technique of tooth machining of spiral bevel gears within low series production.
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Trubachev, E.S. (2020). On Possibility of Cutting Bevel Gearwheels by Hobs. In: Goldfarb, V., Trubachev, E., Barmina, N. (eds) New Approaches to Gear Design and Production. Mechanisms and Machine Science, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-030-34945-5_11
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