Spiral bevel gear tooth root bending stress testing method in consideration with dynamic load based on similarity theory

A technology of spiral bevel gear and bending stress, which is applied in the field of life design and prediction analysis of spiral bevel gear transmission system, and can solve problems such as difficult verification work

Inactive Publication Date: 2017-02-22
BEIHANG UNIV
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Problems solved by technology

In view of the high-speed and heavy-load actual working conditions of spiral bevel gears, bench tests are required t

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  • Spiral bevel gear tooth root bending stress testing method in consideration with dynamic load based on similarity theory
  • Spiral bevel gear tooth root bending stress testing method in consideration with dynamic load based on similarity theory
  • Spiral bevel gear tooth root bending stress testing method in consideration with dynamic load based on similarity theory

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example

[0132] Step (1): Selection of the main parameters in the dynamic load similarity model of the spiral bevel gear;

[0133] The relative displacement along the normal direction of the meshing point between the meshing points of two bevel gear tooth surfaces due to vibration and error is:

[0134] lambda n =(x 1 -x 2 )a 1 -(y 1 -y 2 )a 2 -[(z 1 + r 1 θ 1y )-(z 2 + r 2 θ 1x )]a 3 -e n (t).

[0135] Where: x i 、y i 、y i (i=1,2) are the vibration displacements of the driving wheel 1 and the driven wheel 2 along the x-axis, y-axis and z-axis respectively, where i=1 represents the driving wheel 1, i=2 represents the driven wheel 2; θ 1x , θ 2y are the torsional vibration displacements of the driving wheel 1 around its own axis x-axis and the driven wheel 2 around its own axis y-axis, where the driving wheel 1 is smaller than the driven wheel 2, a 1 =cosδ 1 sinα n , a 2 =cosδ 1 cosα n sinβ 1 , a 3 =cosα n cosβ 1 , e n (t) is the normal transmission static ...

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Abstract

The invention provides a spiral bevel gear tooth root bending stress testing method in consideration with dynamic load based on similarity theory. The method comprises the steps of: (1) selecting main parameters in a spiral bevel gear dynamic load similarity model; (2) determining similarity criteria in the dynamic load similarity model by using the similarity theory; (3) selecting main parameters in a spiral bevel gear tooth root bending stress similarity model; (4) determining similarity criteria in the tooth root bending stress similarity model by using the similarity theory; (5) designing gear parameters and test input parameters of the spiral bevel gear tooth root bending stress similarity model in consideration with dynamic load by combining the dynamic load similarity model with the tooth root bending stress similarity model; and (6) designing a test scheme, constructing a test bed, performing tooth root bending stress test, and acquiring tooth root bending stress in a prototype according to a similarity ratio. The method can lower the tooth root bending stress test condition.

Description

technical field [0001] The invention relates to the technical field of life design and predictive analysis of a spiral bevel gear transmission system, in particular to a method for testing the root bending stress of a spiral bevel gear root considering dynamic load based on similarity theory. Background technique [0002] In the life design and prediction analysis of the spiral bevel gear transmission system, it is necessary to use the stress spectrum distribution of the tooth surface of the spiral bevel gear under real working conditions as the basis. Currently, the more popular methods for obtaining the tooth surface stress spectrum of the spiral bevel gear transmission Usually an experimental measurement. The experimental measurement method is to attach strain gauges to the tooth root of the spiral bevel gear on the test bench, and collect the strain signal of the tooth root in operation. In view of the high-speed and heavy-duty actual working conditions of spiral bevel ...

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Application Information

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IPC IPC(8): G01M13/02G01L1/22
CPCG01L1/22G01M13/021
Inventor 王延忠唐文李岩王段
Owner BEIHANG UNIV
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