1 General involute spur gear tooth error evaluation method GB10095-88 "Involute cylindrical gear accuracy" national standard, the tooth error ΔFβ is defined as: on the indexing cylinder surface, the tooth width effective part range Inside, the end face distance between the two design tooth lines that contain the actual tooth line and the smallest distance. The national standard is equivalent to the ISO1328-1975 international standard. Although the ISO1328-1975 standard has been invalidated internationally and replaced by the ISO1328 1990s complete set of standards, China also ordered the revision of the 88 national standard in 1997, and the tooth orientation error. The definition has not changed.
The theoretical tooth meshing is in the direction of the full tooth width. Due to factors such as the overall and local helix angle errors generated by the gear manufacturing, the uneven distribution of the load, the elastic deformation, and the expansion caused by the uneven temperature field inside and outside the box, etc., The tooth orientation error occurs when the tooth is meshed toward one end. The 2 gear teeth mesh with one end to assess whether the gear tooth direction error is acceptable, that is, whether the tooth tooth error is included in the design tooth tolerance band. The design tooth direction is determined by the gear designer's gear pattern, and the different requirements for the tooth directions on both sides of the gear tooth profile are drawn according to the design requirements. In the case of a spur gear, it is designed to have a tolerance zone. This is because the ideal tooth line of the spur gear is a straight line, so the tolerance band is a rectangular range.
2 Analysis of tooth-tooth error evaluation method of drum-shaped gears The current method for assessing the tooth-tooth error of drum-shaped gears is exactly the same as that of straight-toothed gears. The tooth-tooth tolerances of the crown-toothed gears are still designed, but if they are directly applied to the drums The shape of the tooth is not suitable, because the ideal tooth line of the drum tooth is the drum shape itself, and the rectangular tolerance band that is easy to exceed, even if it can be satisfied, will greatly increase the processing cost, and many false detections can meet the accuracy requirements. product. For example, the existing STEYR fuel injection pump gear has a drum shape requirement of t=0.005, and the tooth 4-direction tolerance is 0.016, that is, the drum shape can be up to 0.013 in the middle section of the gear, and the tolerance is only 0.016, according to the usual evaluation. The method (containing the smallest area between the two parallel lines of all measurement points is its actual error), the result is easily over-constrained due to the neglect of the drum shape. Obviously, such an evaluation method is too harsh and not reasonable.
3 Discussion on the new method of tooth tooth error evaluation of drum gears Now, let us analyze what kind of evaluation method is more reasonable. Due to the presence of the drum shape, a reasonable evaluation method must consider the amount of drum shape. The ideal drum shape should have a section of arc. Thus, the tooth direction error is actually the arc degree error of the arc (relative to the circle, which can be called the roundness, now the arc, we call it the arc degree).
Ff - design tooth tolerance band size; L - tooth width; R - radius is well known, the tolerance band shape of the roundness error is the zone between the two concentric circles, that is, the ring. Similarly, the tolerance band shape of the arcuity error is the zone band between two concentric arcs. The difference between the radius of the two concentric arcs is the tooth orientation error. The analysis shows whether there is a drum shape and there is an essential difference in the evaluation of the tooth misalignment. The difference is that the shape of the tolerance band has been changed. This brings a great deal of trouble to the evaluation of the tooth misalignment of the crown gear. Now let's analyze qualitatively the several tasks that need to be done to assess the tooth-to-tooth error: a) use the values ​​of several points measured by the coordinate measuring machine to calculate the drum shape, that is, the arc radius R mentioned above; b) Use a concentric arc with a radius tolerance of R Ff/2 and R-Ff/2. If the measuring point falls within the concentric arc, it is qualified. Otherwise, it is unqualified.
4 Conclusion The tooth tooth error measurement of the drum tooth is the same as the general tooth tooth error measurement of the involute cylindrical gear. The key lies in the determination of the tooth tolerance zone.
For drum gears, the design of the tooth line is a drum line. Compared with the rectangular tolerance belt, it is more economical and reasonable to use the arc tolerance belt to test the drum teeth. The proposed and popularized method of tooth-tooth error of drum gear will be of great significance and reference value for process analysis, improving precision and ensuring product quality.
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