Helical-gear precise modeling method involving tooth alignment errors

A modeling method and a tooth-tooth error technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as complex modeling, low modeling accuracy, and inability to realize parametric modeling

Active Publication Date: 2014-07-23
WUHAN UNIV OF TECH
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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 c...

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  • Helical-gear precise modeling method involving tooth alignment errors
  • Helical-gear precise modeling method involving tooth alignment errors
  • Helical-gear precise modeling method involving tooth alignment errors

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Embodiment Construction

[0100] The invention relates to a helical gear modeling method with tooth direction error, comprising the following steps: (1) obtaining the tooth profile equation of the rack cutter according to the structure of the rack cutter; (2) combining the form of the error and combining the According to the law of motion, the equation of the tool tooth surface containing the helical tilt and shape error is obtained through coordinate transformation; (3) According to the error tool tooth surface equation and the gear meshing law, the rack and pinion meshing equation is obtained; (4) According to the meshing equation and the error tool Tooth surface equation, determine the tooth surface equation of the helix shape error including the helix tilt error and obeying the sine law. (5) According to the tooth surface equation, solve and process the discrete points of the tooth surface, so that they can be directly read into the finite element software, and number the discrete points of the toot...

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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...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 秦训鹏罗涛黄津晶
Owner WUHAN UNIV OF TECH
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