Abstract
The pitch configurations (circles and surfaces) are the basic primitives, upon which the mathematical models for synthesis of spatial gears with crossed axes of rotation are worked out. These mathematical models are created after the approach to synthesis based on one common point of contact between the operating tooth surfaces of the mating gears, this point being, at the same time, a common point of the pitch configurations. This point is called a pitch contact point. When the pitch circles and surfaces are in a static position, they are treated as geometric characteristics of the designed gears, and determine not only the basic parameters of their structure but also the dimensions of the gears’ blanks. If the pitch configurations are put in a rotation according to a given law of motions transformation, then the dimensions and the mutual position of the configurations serve to define the dimensions and the longitudinal and profile geometry of the tooth surfaces contacting at the pitch point. The study deals with the synthesis of geometric pitch configurations for two main cases of three-link hyperboloid gears with externally mating gears: with normal (traditional) orientation of the gears and with inverse (opposite of the traditional) orientation of the gears.
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Notes
- 1.
Spiroid and Helicon are trademarks registered by the Illinois Tool Works, Chicago, Ill.
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Abadjiev, V., Abadjieva, E. (2018). Geometric Pitch Configurations—Basic Primitives of the Mathematical Models for the Synthesis of Hyperboloid Gear Drives. In: Goldfarb, V., Trubachev, E., Barmina, N. (eds) Advanced Gear Engineering. Mechanisms and Machine Science, vol 51. Springer, Cham. https://doi.org/10.1007/978-3-319-60399-5_5
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DOI: https://doi.org/10.1007/978-3-319-60399-5_5
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