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Calculation Method of Gear Teeth Deformation Introduced by Measuring Force in Gear Double Sided Mesh Measurement

A technology for measuring force and gears, which is used in measuring devices, elasticity testing, and mechanical component testing.

Active Publication Date: 2021-07-02
BEIJING UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, in general, the instrument does not give different measurement force standards for different gears, nor does it compensate for the error caused by the measurement force.

Method used

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  • Calculation Method of Gear Teeth Deformation Introduced by Measuring Force in Gear Double Sided Mesh Measurement
  • Calculation Method of Gear Teeth Deformation Introduced by Measuring Force in Gear Double Sided Mesh Measurement
  • Calculation Method of Gear Teeth Deformation Introduced by Measuring Force in Gear Double Sided Mesh Measurement

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Embodiment Construction

[0036] The present invention will be further described below in conjunction with the accompanying drawings and derivation formulas.

[0037] Such as figure 1 As shown, F is the radial pressure acting on the product gear, which is provided by the spring force in double-sided meshing, δ L and δ R are the deformation along the left and right meshing lines, δ is the deformation of the gear in the radial direction, and δ and δ L and δ R The relationship is as follows:

[0038]

[0039] α' is the meshing angle, δ L ,δ R is the deformation along the left and right meshing lines.

[0040] The amount of deformation of the gear teeth along the meshing line direction is related to the force on the meshing line direction of the gear teeth and the comprehensive stiffness of the gear teeth, that is:

[0041]

[0042]

[0043] f L , F R is the component of the radial force along the left and right meshing lines, k L 、k R is the comprehensive stiffness along the meshing li...

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Abstract

The invention discloses a gear tooth deformation calculation method introduced by measurement force in the measurement of gear double-sided meshing, and belongs to the field of precision testing technology and instruments. The steps are as follows: (1) Measuring the force during double-face meshing will cause the gear teeth to deform, so that the center distance of the double mesh will change, and then the error curve of the double mesh will be affected. Calculate the gear tooth deformation caused by the measurement force along the left and right meshing lines, and superimpose the tooth deformation on the left and right meshing lines according to the meshing phase, so as to obtain the change of the double tooth center distance caused by the measuring force. (2) The amount of deformation along the meshing line is the component of the measured force along the meshing line divided by the gear stiffness on the meshing line. (3) The tooth stiffness on a single meshing line is the superposition of the stiffness of each contact point on the meshing line. (4) The stiffness of the gear at a contact point is composed of three parts: the bending stiffness of the gear tooth, the shear stiffness and the contact stiffness of the tooth surface. (5) The bending and shear stiffness are calculated by the cantilever beam model, and the contact deformation is calculated by the Hertz formula.

Description

technical field [0001] The invention relates to the field of precision testing technology and instruments, in particular to a method for calculating gear tooth deformation under the influence of measuring force in double-sided meshing measurement. Background technique [0002] As the core mechanical basic part, the quality and performance of the gear determine the performance and reliability of the equipment. The gear industry has become the largest industry in the general basic parts of machinery. Gears are widely used in automobile manufacturing, aerospace, wind power equipment and equipment manufacturing and other fields. The gear precision and quality directly affect the efficiency, noise, movement precision and service life of the equipment. As gear measurement technology and gear processing technology complement each other, the measurement of gears is particularly important. [0003] Double-sided meshing measurement has become the main test method for final inspecti...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01M13/021G01M5/00
CPCG01M5/0041G01M13/021
Inventor 汤洁杨炳耀石照耀
Owner BEIJING UNIV OF TECH