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        Tooth Thickness Error Analysis of Straight Beveloid Gear by Inclined Gear Shaping

        Feihong Zhu,Chaosheng Song,Caichao Zhu,Xuesong Du 한국정밀공학회 2022 International Journal of Precision Engineering and Vol.23 No.4

        In this paper, two approaches to calculate the tooth thickness error (TTE) of straight beveloid gear by tilt-type gear shaper were proposed. The first calculation approach of TTE was established by considering the change of pitch circle radius during the gear slotting process. The analytical tooth surface model of straight beveloid gear was derived by inclined gear shaping, and the tooth surface point set was obtained. Then, another calculation methodology of TTE was established based on the analytical straight beveloid gear model. Two approaches were employed to calculate the TTE of internal and external straight beveloid gear, respectively. And they were employed to validate each other, and the results show a good consistency. The influences of design parameters on TTE was analyzed. Results show that the internal/external straight beveloid gears have a convex/concave TTE along the tooth width direction while cutting by tilt-type gear shaper, which makes the tooth thickness of the heel and toe sides of beveloid gear thinned/thickened, respectively. The TTE of internal and external beveloid gear both increase with the increase of design cone angle, and decrease with the increase of modulus and number of teeth. For the same macro gear design parameters, the TTE of external beveloid gear is smaller than that of internal beveloid gear. The results of the two approaches show good consistency at the middle of tooth surface. The maximum difference between the results of two approaches gradually increases away from the middle of tooth surface, and it is positively correlated with the value of TTE.

      • KCI등재

        Research on Tolerance Design of 2K-V Reducer with Beveloid Gear Considering the Effect of Anti-Backlash

        Zhiying Cui,Chaosheng Song,Feihong Zhu,Caichao Zhu 한국정밀공학회 2024 International Journal of Precision Engineering and Vol.25 No.2

        A mathematical model for calculating the lost motion of the 2K-V reducer with beveloid gear was established, considering the influence of assembly-induced error factors and the effect of backlash elimination. Sensitivity analysis was conducted on each error factor, and in combination with actual manufacturing processes, a set of tolerance correction values was designed using the Monte Carlo method. Based on these tolerance values, prototype manufacturing and performance testing were carried out. The validity of the proposed theoretical model was verified through experimental validation. The results indicate that three significant factors affecting the overall lost motion are the radial clearance of the tapered roller bearing, the backlash of the involute spline, and the radial runout of the small tooth difference gear. The tolerance correction reduced the difficulty of actual manufacturing, allowing the three highly sensitive error ranges to be relaxed to 757.58 times, 1.26 times, and 8.63 times of their original values, when the lost motion of the whole machine is less than 1arcmin.

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