Determination of tooth surface points on bevel gears for checking on a coordinate measuring machine
DOI:
https://doi.org/10.32972/dms.2023.011Keywords:
coordinate measuring machine, bevel gear, mathematical modelling, grid pointsAbstract
The use of coordinate measuring machines is an integral part of gear design. In order to this tool to be truly effective, it is necessary to know the surfaces to be measured and to provide comparative values. In the study, the mathematical modelling of the bevel gear tooth surfaces and the exact description of the production are used to produce the theoretical surfaces on which points can be added in any desired arrangement and number. These points form the basis for the evaluation of the measurement by comparison with the measured values.
References
American Gear Manufacturers Association. (2006). ANSI/AGMA 2005-D03: Design Manual for Bevel Gears.
American Gear Manufacturers Association (2009). ANSI/AGMA 2009-B01. Bevel Gear Classification, Tolerances, and Measuring Methods.
Litvin, F. L. (1989). Theory of Gearing. NASA RP 1212. NASA.
Litvin, F. L. (1994). Gear Geometry and Applied Theory. Prentice Hall.
Litvin, F. L., & Fuentes, A. (2004). Gear Geometry and Applied Theory. 2nd ed. Cambridge University Press.