A Unified Characterization Method of Characteristic Lines for Three-dimensional Gear Errors

Abstract

The invention discloses a unified characterization method of the characteristic line of the three-dimensional error of the gear, establishes the relationship between the coordinate system on the gear and the coordinate system of the meshing surface, and provides the equation of the characteristic line of the gear under the coordinate system of the gear under the coordinate system of the meshing surface : The involute is the truncation line of the tooth surface cut by the end plane, the contact line is the intersection line between the base circle tangent plane and the tooth surface, and the normal meshing tooth shape is the shape on the tooth surface when the two tooth surfaces mesh in the helical gear transmission. The resulting trajectory and helix of the instantaneous contact point are the intersection lines of the coaxial cylindrical surface of the gear axis and the tooth surface. The three-dimensional measurement error on the tooth surface is represented in two dimensions, and the four characteristic lines on the tooth surface are all straight lines in the meshing surface coordinate system, which realizes the unified mathematical representation of each characteristic line in the meshing surface coordinate system. The method of extracting the tooth profile deviation curve, the helix deviation curve, the contact line deviation curve and the normal meshing tooth profile deviation curve on the tooth surface along the normal direction of the meshing plane coordinate system is given, and the above-mentioned Deviations are assessed. The method is used to extract four characteristic curves at any position on the tooth surface based on a large amount of tooth surface measurement data and conduct a comprehensive evaluation, so that the measurement and evaluation results are more comprehensive.

Description

technical field [0001] The invention relates to a method for unifying characteristic lines of three-dimensional errors of gears, belonging to the technical field of gear machinery manufacturing. Background technique [0002] The parametric curves with specific meaning on the tooth surface are called characteristic lines. Although there are many kinds of parameter curves for tooth surfaces, the selection of characteristic lines is limited by many factors such as the working mechanism of the workpiece, design principles, processing methods, use status, and curve measurability. The errors that affect the performance of gears are finally attributed to the errors on the four characteristic lines of the gear tooth surface, the helix, the involute, the normal meshing tooth profile and the contact line. Helix and involute are commonly used tooth surface characteristic lines, but the normal meshing tooth shape and contact line that can better reflect the performance of gears and hav...

AI Technical Summary

Problems solved by technology

For the large amount of data obtained, using a small sample to evaluate the overall will inevitably lead to significant differences between the evaluation results and the actual performance of the gear

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