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Mathematical Model of Helical Gear Topography Measurements and Tooth Flank Errors Separation
Joint Authors
Wang, Huiliang
Deng, Xiaozhong
Han, Jianhai
Li, Jubo
Yang, Jianjun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
During large-size gear topological modification by form grinding, the helical gear tooth surface geometrical shape will be complex and it is difficult for the traditional scanning measurement to characterize the whole tooth surface.
Therefore, in order to characterize the actual tooth surfaces, an on-machine topography measurement approach is proposed for topological modification helical gears on the five-axis CNC gear form grinding machine that can measure the modified gear tooth deviations on the machine immediately after grinding.
Combined with gear form grinding kinematics principles, the mathematical model of topography measurements is established based on the polar coordinate method.
The mathematical models include calculating trajectory of the centre of measuring probe, defining gear flanks by grid of points, and solving coordinate values of topology measurement.
Finally, a numerical example of on-machine topography measurement is presented.
By establishing the topography diagram and the contour map of tooth error, the tooth surface modification amount and the tooth flank errors are separated, respectively.
Research results can serve as foundation for topological modification and tooth surface errors closed-loop feedback correction.
American Psychological Association (APA)
Wang, Huiliang& Deng, Xiaozhong& Han, Jianhai& Li, Jubo& Yang, Jianjun. 2015. Mathematical Model of Helical Gear Topography Measurements and Tooth Flank Errors Separation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073122
Modern Language Association (MLA)
Wang, Huiliang…[et al.]. Mathematical Model of Helical Gear Topography Measurements and Tooth Flank Errors Separation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073122
American Medical Association (AMA)
Wang, Huiliang& Deng, Xiaozhong& Han, Jianhai& Li, Jubo& Yang, Jianjun. Mathematical Model of Helical Gear Topography Measurements and Tooth Flank Errors Separation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073122
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073122