Precision compensation method for tooth flank measurement error of hypoid gear |
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| Affiliation: | 1. Department of Mechanical Engineering and Science, Kyoto University, Kyoto Daigaku-Katsura, Nishikyo-ku, Kyoto-shi, Kyoto 615-8530, Japan;2. State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, PR China;1. Izmir University of Economics, Faculty of Engineering and Computer Science, Balcova, Izmir, Turkey;2. University of Missouri-Columbia, College of Engineering, Columbia, MO, USA;1. Department of Design and Manufacturing Engineering, Universidad de Zaragoza, Zaragoza, Spain;2. Centro Universitario de la Defensa, Zaragoza, Spain;1. Faculty of Science and Engineering, Hosei University, 3-7-2, Kajino-cho, Koganei-shi, Tokyo 184-8584, Japan;2. Department of Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan;3. Graduate School of Science and Technology, Gunma University, 1-5-1, Tenjin-cho, Kiryu-shi, Gunma 376-8515, Japan;1. Universidade Estadual de Campinas – UNICAMP, Faculdade de Engenharia Química – FEQ, Campinas, SP, Brazil;2. Industria Eletromecânica Balestro Ltda., Mogi Mirim, SP, Brazil;3. Universidade de São Paulo – USP, Escola Politécnica, Depto. de Engenharia de Energia e Automação Elétricas – PEA, São Paulo, SP, Brazil;4. Universidade Estadual de Campinas – UNICAMP, Faculdade de Engenharia Elétrica e de Computação – FEEC, Campinas, SP, Brazil;5. Centro de Pesquisas de Energia Elétrica – CEPEL, Rio de Janeiro, RJ, Brazil |
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| Abstract: | When measuring the tooth flank of hypoid gear, the measurement datum surface (the large end surface of the gear) does not always coincide with the design bases (the theoretical mounting distance), and this non-coincidence error would affect the tooth flank measurement results. Based on the measurement theory of the hypoid gear tooth flank, a precision matching method of the theoretical tooth surface and the measured tooth surface is designed, the objective function of the tooth flank matching method is established, and the search iterative method was used to calculate the compensation value of the measurement error of the tooth flank, when the two gear tooth surface is most accurately matched. As the mounting distance of the hypoid gear changes, two experiments are done to verify the proposed method. The experiment results show that, for different tooth flank of the measured gear, the measuring error of the tooth flank along Z-axis dropped significantly after compensated by this method, more than 80% of the error along Z-axis are compensated. It is obvious that this method could improve the measurement accuracy of the tooth flank form of hypoid gear. |
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| Keywords: | Hypoid gear Tooth flank form measurement Tooth flank matching Error compensation |
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