Abstract
The purpose of this study was to try to clarify relative relationships among deviations on each tooth of gears by using the graph theory. Our previous study proposed a method to derive correlation coefficients among the tooth helix deviations and applied it to a ground helical gear. In addition, the coefficients were used as edges, and a network image of the relative helix deviations was generated. In this paper, this method was applied to the analysis of super-finished helical gears, and the phase relationship among the helix deviations was derived. Furthermore, this paper proposed a method, which enables us to derive the magnitude of helix deviation as a norm of signal, which disappeared from the phase network. Then, the derived magnitude was added to the network as the intensity of the vertices. As a result of the application of the proposed method to an analysis of the ground and super-finished helical gears, it was found that the newly created network images were able to show the different characteristics between the gear-finishing processes.
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Acknowledgments
The authors gratefully acknowledge the support by the Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Scientific Research (C), 18K03907.
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This paper was presented at ICMDT 2019, Shiroyama Hotel, Kagoshima, Japan, April 24-27, 2019. Recommended by Guest Editor Haedo Jeong.
Daisuke Iba is an Associate Professor of Department of Mechanical Engineering, Kyoto Institute of Technology, Kyoto, Japan. He received his Ph.D. in Mechanical Engineering from Kyoto Institute of Technology in 2005. His research interests include gear measurements and gear vibration analysis.
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Iba, D., Inoue, H., Noda, H. et al. Networks of tooth helix deviations of ground and super-finished gears - Phase edges and intensity vertices. J Mech Sci Technol 33, 5689–5697 (2019). https://doi.org/10.1007/s12206-019-1112-5
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DOI: https://doi.org/10.1007/s12206-019-1112-5