Unified characterization method for characteristic lines of gear three-dimensional error

Abstract

The invention discloses a uniform characterization method for a characteristic line of a gear three-dimensional error, wherein the method comprises the steps: building a relation between a coordinate system on a gear and a coordinate system of a meshing surface; giving out an equation of a gear characteristic line under a gear coordinate system under a meshing surface coordinate system, wherein an involute is a section line of a tooth surface cut by an end plane, a contact line is an intersection line of a base circle tangent plane and the tooth surface, the normal meshing tooth form is a track of an instantaneous contact point generated on the tooth surface when two tooth surfaces are meshed in spiral gear transmission, and the spiral line is the intersecting line of the gear axis coaxial cylindrical surface and the tooth surface; then two-dimensionally representing the three-dimensional measurement error on the tooth surface, and analyzing the curves to obtain that four characteristic lines on the tooth surface are all straight lines in a meshing surface coordinate system, thereby realizing unified mathematical representation of each characteristic line in the meshing surface coordinate system; finally, giving out the method for extracting a tooth profile deviation curve, a spiral line deviation curve, a contact line deviation curve and a normal meshing tooth profile deviation curve on a tooth surface along a meshing normal direction under a meshing plane coordinate system and evaluating the deviations. According to the method, four characteristic curves at any position on the tooth surface are extracted based on a large amount of tooth surface measurement data and are comprehensively evaluated, and the measurement evaluation result is 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 shape 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 have ...

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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