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Gear tooth deformation calculation method under introduction of measuring force in gear double-sided meshing measurement

A technology for measuring force and gears, applied in measuring devices, elastic testing, testing of mechanical components, etc., can solve problems such as no measurement force error compensation, different gears not given, different measurement force standards, etc.

Active Publication Date: 2020-01-07
BEIJING UNIV OF TECH
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  • Abstract
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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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  • Gear tooth deformation calculation method under introduction of measuring force in gear double-sided meshing measurement
  • Gear tooth deformation calculation method under introduction of measuring force in gear double-sided meshing measurement
  • Gear tooth deformation calculation method under introduction of measuring force in gear double-sided meshing 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, which belongs to the field of precision testing technologies and instruments, discloses a gear tooth deformation calculation method under introduction of a measuring force in gear double-sided meshing measurement. The method comprises the following steps: (1), causing deforming of a gear tooth by a measuring force in double-sided meshing and thus changing a double-meshing center distance to affect a double-meshing error curve; calculating gear tooth deformation values caused by the measuring force in left and right meshing line directions, and superposing the gear tooth deformation values at left and right meshing lines according to meshing phases to obtain a double-meshing center distance variable quantity caused by the measuring force; (2), dividing the component of the measuring force in the meshing line direction by the gear rigidities on the meshing lines to obtain deformation values in meshing line directions; (3), carrying out superposition of rigidities of all contacts at each meshing line to obtain the gear rigidity of each meshing line; (4), forming the rigidity of the gear at one contact point by the bending rigidity and the shearing rigidity of the gear tooth and the contact rigidity of the gear surface; and (5), calculating the bending and shearing rigidities by a cantilever beam model and calculating contact deformation based on a 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 Applications(China)
IPC IPC(8): G01M13/021G01M5/00
CPCG01M5/0041G01M13/021
Inventor 汤洁杨炳耀石照耀
Owner BEIJING UNIV OF TECH
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