Second-Order Proportional Modification Parameters for Spiral Bevel Gears Manufactured by Spread Blade Method

Abstract:

The proportional modification parameters are useful for compensating the tooth form errors of spiral bevel gears. Based on the mathematical model for calculating the machine setting parameters and according to the relative position relationship between cutter and workpiece, the formulae for calculating the second-order proportional modification parameters for gears manufactured by spread blade method was deduced by the curvature and normal vector at calculation point. The proportional modification parameters can make the lengthwise curvature or profile curvature or lengthwise twist curvature of the concave and convex flank produce uniform change or difference change. The formulae is verified by experiment on CNC spiral bevel gear grinding machine and M&M sigma 7 gear measuring center.

• Periodical: Applied Mechanics and Materials (Volume 394)
• Pages: 237-241
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.394.237
• Online since: September 2013
• Authors: Deng Hong Huang, Zhi Yong Wang, Shui Qin Yu
• Keywords: Proportional Modification Parameters, Spiral Bevel Gears, Spread Blade Method

References

[1] H J Stadtfeld: Handbook of bevel and hypoid gears Calculation, Manufacturing and Optimization (Rochester Institute of technology, New York 1993).

[2] F L Litvin, Y Zhang: Identification and Minimization of Deviations of Real Gear Tooth Surface, ASME Journal Mechanical Design. Vol. 113(1991), pp.55-62.

DOI: 10.1115/1.2912751

[3] F L Litvin, C Kuan, J C Wang, et al: Minimization of deviation of gear real tooth surface determined by coordinate measurements, ASME Journal of Mechanical Design. Vol. 115(1993), pp.995-1001.

DOI: 10.1115/1.2919298

[4] C. Gosselin, Yoshio Shiono, Tetsuya Nonaka: A Computer Based Approach Aimed at Reproducing Master Spiral Bevel and Hypoid Pinions and Gears (AGMA Fall Technical Paper 1996).

[5] C Gosselin, T Nonaka, Y Shiono: Identification of the Machine Settings of Real Hypoid Gear Tooth Surface, ASME Journal Mechanical Design. Vol. 120(1998), pp.429-440.

DOI: 10.1115/1.2829170

[6] Lin C Y, Tsay C B, Fong Z H: Computer-aided manufacturing of spiral bevel and hypoid gears with minimum surface deviation, Mechanism and Machine Theory. Vol. 33(1998), pp.785-803.

DOI: 10.1016/s0094-114x(97)00101-8

[7] Lin C Y, Tsay C B, Fong Z H: Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques, Journal of Materials Processing Technology. Vol. 114(2001), pp.22-35.

DOI: 10.1016/s0924-0136(01)00734-8

[8] Gabiccini M, Artoni A, Puccio F D, in: Proceedings of Twelfth World Congress in Mechanism and Machine Science, edited by Jean-Pierre Merlet, Marc Dahan, IFoTMM (2007).

[9] Wang Zhiyong, Zeng Tao: Correction of Tooth Flank Errors of Spiral Bevel Gear Based on Proportional Change Parameters, Journal of Mechanical Engineering. Vol. 46(2012), pp.43-47.

DOI: 10.3901/jme.2010.01.043

[10] Zeng Tao: Design and manufacture of spiral bevel gears (Harbin University of Technology, China 1989).