22FTM10. Mathematical Model of a Straight Bevel Gear on the Straight Bevel Coniflex Generator and Gear Flank Correction
Coniflex cutting, a popular mass production method for straight bevel gears, employs two giant interlocked circular cutters to generate tooth surfaces. By controlling the tool pressure angle, Coniflex cutting enables profile and lengthwise crownings that result in advantageously low assembly sensibility. This paper proposes a mathematical model of a Coniflex bevel gear produced on a dedicated machine, whose coordinate systems between cutters and work gear are empirically well-defined. Once the tooth surface is derived from coordinate transformation and gear enveloping theory, ease off and tooth contact analysis can be conducted numerically; after which flank correction is achieved using sensitivity analysis and optimization methods. Both the proposed model and the flank correction are validated using cutting experiments on a straight bevel Coniflex generator No. 104.
Authors: Yi-Pei Shih, Yu-Cheng Hung, Bor-Tyng Sheen, Szu-Hung Chen, Kuan-Heng Lin
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