The subject of this paper is the synthesis of the pitch surfaces of non-circular skew gears, intended to generate any motion program with a periodically varying transmission ratio. This is done by extending an existing algorithm, which was formulated through the application of dual algebra and the Principle of Transference. In particular, the variable transmission ratio of N-lobed elliptical and logarithmical cylindrical gears is expressed and analyzed along with their main characteristics to test the proposed algorithm, which is implemented in Matlab. The code generates the pitch surfaces of N-lobed elliptical and logarithmical skew gears, along with those of indexing skew gears. Finally, significant numerical and graphical results are shown to analyze the geometrical characteristics of the gear engagement. Not unexpectedly, cylindrical and bevel non-circular gears become particular cases thereof.
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ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 15–18, 2010
Montreal, Quebec, Canada
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4410-6
PROCEEDINGS PAPER
Synthesis of the Pitch Surfaces of Non-Circular Skew-Gears
Giorgio Figliolini,
Giorgio Figliolini
University of Cassino, Cassino, FR, Italy
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Pierluigi Rea,
Pierluigi Rea
University of Cassino, Cassino, FR, Italy
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Jorge Angeles
Jorge Angeles
McGill University, Montreal, QC, Canada
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Giorgio Figliolini
University of Cassino, Cassino, FR, Italy
Pierluigi Rea
University of Cassino, Cassino, FR, Italy
Jorge Angeles
McGill University, Montreal, QC, Canada
Paper No:
DETC2010-28902, pp. 1195-1204; 10 pages
Published Online:
March 8, 2011
Citation
Figliolini, G, Rea, P, & Angeles, J. "Synthesis of the Pitch Surfaces of Non-Circular Skew-Gears." Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 34th Annual Mechanisms and Robotics Conference, Parts A and B. Montreal, Quebec, Canada. August 15–18, 2010. pp. 1195-1204. ASME. https://doi.org/10.1115/DETC2010-28902
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