Helical-gear precise modeling method involving tooth alignment errors

Abstract

The invention relates to a helical-gear precise modeling method involving tooth alignment errors. The helical-gear precise modeling method comprises the following steps that (1) a tooth profile equation of a cutter is obtained according to the structure of the rack cutter; (2) according to the forms of the errors and a motion law, a cutter tooth surface equation involving helical line inclination and shape errors is obtained through coordinate transformation; (3) according to the error cutter tooth surface equation and a gear meshing law, a meshing equation is obtained; (4) according to the meshing equation and the error cutter tooth surface equation, a tooth surface equation involving helical line inclination errors and shape errors is obtained; (5) tooth surface discrete points are obtained and processed so that the tooth surface discrete points can be directly read into finite element software, and a helical gear finite element model is built. According to the helical-gear precise modeling method, the helical gear tooth surface equation involving the tooth alignment errors is directly derived according to an error cutter equation, hybrid programming is conducted through mathematical software and the finite element software, the helical gear finite element model involving the tooth alignment errors is built in a parameterized mode, modeling efficiency and precision are improved, and the workload of calculation and analysis is reduced.

Description

technical field [0001] The invention relates to the field of helical gear modeling with tooth direction error, more specifically, relates to a modeling method for helix inclination error and helix shape error obeying sine law. Background technique [0002] Helical gears have been widely used in various mechanical equipment due to their advantages such as large coincidence degree, good meshing performance, stable transmission and high load-carrying capacity. However, in the process of gear processing, due to the installation error of the gear blank, the distortion of the guide rail of the machine tool, the radial and axial runout of the feed screw, and the periodic motion error of the indexing transmission chain, etc., there will be a tooth direction error, which makes the gear during the transmission process. The teeth deviate from the theoretical meshing position, reducing the gear contact accuracy. The reduction of contact accuracy will lead to uneven load distribution an...

AI Technical Summary

Problems solved by technology

However, in the existing methods, the gear model with errors is obtained by directly modifying the coordinates of the points on the theoretical tooth surface. This modeling method is not only complicated in modeling, but also low in efficiency and low in modeling accuracy. Most importantly, The difference in error magnitude needs to be remodeled, and parametric modeling cannot be achieved

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