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Time-varying characteristic quantitative calculation method for meshing stiffness of gear with minor defect

A technology of meshing stiffness and quantitative calculation, applied in the direction of calculation, special data processing applications, instruments, etc., can solve the problems such as the elastic deformation of the wheel body that are rarely considered, and achieve the effect of reducing the complexity and the amount of calculation.

Inactive Publication Date: 2014-02-12
BEIJING UNIV OF TECH
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Problems solved by technology

[0004] The solution to the time-varying meshing stiffness in foreign countries is mainly based on the energy method, assuming that the elastic strain energy is fully converted into Hertz energy, shear energy, bending energy and radial compression energy Some or all of them, but few consider the elastic deformation of the wheel

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  • Time-varying characteristic quantitative calculation method for meshing stiffness of gear with minor defect
  • Time-varying characteristic quantitative calculation method for meshing stiffness of gear with minor defect
  • Time-varying characteristic quantitative calculation method for meshing stiffness of gear with minor defect

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Embodiment Construction

[0029] The present invention will be further described below in conjunction with the analysis of composite specific examples.

[0030] The implementation steps of this method are as follows:

[0031] 1. Establish the calculation model of gear meshing stiffness

[0032] 1.1 Determine the basic parameters of the gear pair

[0033] 1.2 Determining the meshing interval of single and double teeth of the gear pair

[0034] 1.3 Calculate the five stiffnesses of meshing gears respectively

[0035] Such as figure 1 The force diagram of the gear teeth is shown. When the gear pair is affected by the meshing F, F is decomposed into two forces F parallel and perpendicular to the centerline of the gear teeth a and F b . Due to the line contact of the gear pair, there is a Hertzian contact stiffness; the force F parallel to the centerline of the gear teeth is a The role of the gear, there is radial compression in the gear, so there is a radial compression stiffness; affected by the pe...

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Abstract

The invention relates to a quantitative calculation method for the meshing stiffness of a gear with a minor defect. In order to describe the influence of a typical gear fault on the time-varying stiffness characteristic, a meshing stiffness energy method calculation model is firstly introduced, wherein five kinds of elastic strain energy, which refers to bending, shearing, radial compression, contact and base deformation, are respectively considered, and five corresponding stiffnesses are further formed. The quantitative calculation method is based on the energy method, the influences of case crush, tooth root crack and tooth breakage on the stiffness distribution are discussed one after another. Aiming at spalling defects, the influences of spalling length (in the meshing direction) and spalling width (in the tooth width direction) on a stiffness distribution curve is researched, and the quantitative relationship between the spalling size and the stiffnesses degradation is obtained. In the aspect of flexural fatigue crack, the change rule of the stiffness curve along with the crack depth, and the quantitative relationship between the stiffness curve and the crack depth are discussed. In the aspect of broken gear tooth, the influence of missing of a single tooth on the stiffness distribution is discussed. By adopting the quantitative calculation method, the actual meshing situation can be really reflected, the complexity and computation in the process of solving can be lowered.

Description

technical field [0001] The invention relates to a quantitative calculation method for time-varying characteristics of gear stiffness, which belongs to the field of gear fault diagnosis, and in particular to a quantitative calculation method for time-varying characteristics of gear meshing stiffness with local defects. Background technique [0002] The time-varying mesh stiffness is one of the main excitation sources of the vibration response of the gear transmission system. Therefore, it is of great significance to effectively and accurately calculate the time-varying mesh stiffness of the partially defective gear for the study of the vibration response mechanism of the faulty gear. [0003] At present, there are mainly five research methods on meshing stiffness at home and abroad (1) International standard method: the national standard method can effectively and accurately calculate the average meshing stiffness of gears, but it cannot calculate the time-varying meshing stif...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 张建宇黄胜军马金宝刘鑫博
Owner BEIJING UNIV OF TECH
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