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A Calculation Method for Time-varying Mesh Stiffness of Helical Cylindrical Gears Considering Axial Deformation

A technology of helical cylindrical gears and time-varying meshing stiffness, which is applied in calculation, design optimization/simulation, instruments, etc., can solve problems such as low calculation accuracy and does not consider the influence of time-varying meshing stiffness, and achieve the effect of improving accuracy

Active Publication Date: 2019-12-24
XIDIAN UNIV
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Problems solved by technology

However, this analytical calculation method does not consider the influence of the axial deformation of the helical cylindrical gear on the time-varying meshing stiffness under actual working conditions, so there is a problem of low calculation accuracy due to incomplete consideration of the stiffness.

Method used

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  • A Calculation Method for Time-varying Mesh Stiffness of Helical Cylindrical Gears Considering Axial Deformation
  • A Calculation Method for Time-varying Mesh Stiffness of Helical Cylindrical Gears Considering Axial Deformation
  • A Calculation Method for Time-varying Mesh Stiffness of Helical Cylindrical Gears Considering Axial Deformation

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Embodiment Construction

[0026] The present invention will be further described in detail below in conjunction with the accompanying drawings and taking the structural parameters of the helical spur gear shown in Table 1 as an example.

[0027] Table 1

[0028]

[0029]

[0030] refer to figure 1 , a calculation method for time-varying mesh stiffness of helical cylindrical gears considering axial deformation, including the following steps:

[0031] Step 1) Calculate the end face bending stiffness dk of the helical cylindrical gear tooth slice tb , end face shear stiffness value dk ts , radial compression stiffness value dk ta and face tooth base stiffness value dk tf ;

[0032] Step 1.1) Based on the slice theory, the teeth of the helical cylindrical gear are divided into multiple slices of width dl along the tooth width direction, and the meshing force F perpendicular to any slice is decomposed to obtain the end face meshing force F of the slice t and axial meshing force F a , and then t...

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Abstract

The invention proposes a method considering axial deformation for calculating time-varying meshing stiffness of a helical gear. The method aims at improving the accuracy of calculating the meshing stiffness of the helical gear. The method comprises the implementation steps of calculating the end surface bending stiffness, end surface shearing stiffness, radial compression stiffness and end surfacetooth base stiffness of the helical gear; calculating contact stiffness; calculating the end surface meshing stiffness of a single tooth pair; deducing and calculating axial bending stiffness, axialshearing stiffness and axial tooth base stiffness; calculating the meshing stiffness of the single tooth pair; calculating the time-varying meshing stiffness. According to the method, the influence ofaxial meshing force on the time-varying meshing stiffness of the helical gear is considered, a calculation expression for the quantitative calculation of the axial bending stiffness, axial shearing stiffness and axial tooth base stiffness of the helical gear is deduced, the time-varying meshing stiffness of the helical gear is calculated by combining all the stiffness in the end surface direction, the calculation accuracy is improved, and the method can be used for the dynamic performance analysis and optimization design of the helical gear.

Description

technical field [0001] The invention belongs to the field of gear precision transmission technology and mechanical analysis, and relates to a calculation method for time-varying meshing stiffness of helical cylindrical gears considering axial deformation, which can be used for dynamic performance analysis and optimal design of helical cylindrical gears. Background technique [0002] In the traditional gear system, it mainly includes various transmission methods such as spur gear transmission, helical gear transmission and worm gear transmission. The helical gear transmission can be further divided into helical cylindrical gear transmission, helical bevel gear transmission and helical tooth section Gear transmission and other forms, and helical cylindrical gear transmission is one of the most widely used transmission forms in the field of transmission. This transmission structure not only has the characteristics of stable transmission, low impact, vibration and noise, but also...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/20G06F2111/06
Inventor 王奇斌赵博孔宪光马洪波付洋
Owner XIDIAN UNIV
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