For the purpose of precisely calculating the volume of cylindrical spur gear billet in cold precision forging, a new theoretical method named average circle method was put forward.
Open image in new window Fig. 4 Gear volumes varied with different modification coefficients and number of teeth a reference circle method; b average circle method; c three-dimensional modeling method.
A new engineering method named average circle method is put forward to calculate the volume of spur gear billet on the basis of our long-term practice and experiment in this article.
Open image in new window Fig. 5 Relative error curves with different modification coefficients and number of teeth a reference circle method; b average circle method F_{a} = left| {frac{{V_{a} - V_{text{proe}} }}{{V_{text{proe}} }}} right| times 100,% (14) F_{r} = left| {frac{{V_{r} - V_{text{proe}} }}{{V_{text{proe}} }}} right| times 100,% (15).
With brief calculating process, convenient operation and higher precision, average circle method possesses an obvious advantage in calculating the billet volume in spur gear cold precision forging. .
With brief calculating process, convenient operation and higher precision, average circle method possesses an obvious advantage in calculating the billet volume in spur gear cold precision forging.
Therefore, the average circle method is a more accurate way to obtain the gear billet volume.
It shows that average circle method possesses a higher calculation accuracy than reference circle method (traditional method), which should be worth popularizing widely in calculation of spur gear billet volume.
Draw an average sized circle.
The relative error with average circle method is less than 1.5%%, indicating a higher calculation accuracy than traditional reference circle method.
This approximate algorithm is called average circle method.
