PRODUCING SURFACE AND PRODUCING GEARING OF CYLINDRICAL SPUR SINE TRANSMISSIONS
DOI:
https://doi.org/10.20535/2305-9001.2014.70.35216Keywords:
cylindrical spur transmission, sine meshing, basic shape, manufacturing surface, rack-cutter, cutting meshingAbstract
Purpose. Creation a fundamentals of mathematical model which consists in definition of geometry of a manufacturing surface and cutting meshing for cylindrical spur sine transmission.
Design/methodology/approach. The manufacturing surface is considered as rack-cutter with teeth, which profiled by sine wave - a smooth continuous curve. The equations of teeth surfaces which help the basic performances of this manufacturing surface surveyed, namely quadratic forms and normal curvatures in the given directions presented. The equations of cutting gearings which help to obtain the equations of surfaces of teeth which can be applied both for working surfaces of teeth are inferred, and for their fillets are obtained. For these surfaces quadratic forms also are defined. Boundaries of a field of a meshing are defined.
Findings. The results obtained in a paper possible to use for definition of quality indicators of serviceability of sine transmissions which will allow carrying out a comparative estimation of sine transmissions with traditional and other types of transmissions.
Originality/value. Theoretical research of internal geometry of a manufacturing surface and cutting meshing for manufacturing of cylindrical spur sine transmissions
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