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A straight gear meshing stiffness calculation method considering a complex matrix and a crack propagation path

A technology of crack propagation and meshing stiffness, which can be used in calculations, special data processing applications, instruments, etc., and can solve problems such as errors, difficult operation, and many interference factors.

Active Publication Date: 2019-05-07
NORTHEASTERN UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the experimental method has problems such as difficult operation, high economic investment, and many interference factors. Therefore, the experimental measurement results often have certain errors.

Method used

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  • A straight gear meshing stiffness calculation method considering a complex matrix and a crack propagation path
  • A straight gear meshing stiffness calculation method considering a complex matrix and a crack propagation path
  • A straight gear meshing stiffness calculation method considering a complex matrix and a crack propagation path

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Embodiment 1

[0084] A method for calculating meshing stiffness of spur gears considering complex matrix and crack propagation path, such as figure 1 As shown, it mainly includes the following steps: Step 1: Determine the basic parameters of the spur gear pair, web parameters, weight-reducing hole parameters and initial crack parameters;

[0085] Step 2: Determine the initial crack parameters and simulate the crack propagation path. The specific steps are as follows:

[0086] Step 2.1: According to the spur gear pair parameters determined in step 1, a finite element model with initial cracks is established in ANSYS software, and the finite element model with singular elements is established as Figure 2a Shown

[0087] Step 2.2: Use ANSYS software to perform stress intensity factor K I And K II The solution. Based on the stress intensity factor K obtained in ANSYS I And K II , According to the maximum tangential stress fracture criterion, the crack propagation angle θ n The calculation method...

Embodiment 2

[0130] A method for calculating the meshing stiffness of a spur gear considering the complex matrix and crack propagation path. This embodiment is based on the first embodiment and includes the following steps:

[0131] Step 1: Determine the basic parameters of the spur gear pair and the position of the web and the parameters of the weight reduction hole;

[0132] Step 2: Determine the initial crack parameters and simulate the crack propagation path. For details, please refer to Step 2 of the Summary of the Invention;

[0133] Step 3: Based on the finite element theory and the load-bearing gear tooth contact analysis method, calculate the compliance matrix of the driving and driven gear with complex matrix and cracks. For specific implementation methods, refer to step 3 in the summary of the invention;

[0134] Step 4: Use deformation coordination equation and Hertz contact theory to carry out static transmission error x s , And then calculate the gear meshing stiffness k considering...

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Abstract

The invention relates to a straight gear meshing stiffness calculation method considering complex matrix and crack propagation, and the method comprises the steps: obtaining an overall flexibility matrix of a driving wheel and a driven wheel of a meshing gear based on a finite element theory, and determining an overall flexibility matrix of a possible contact point at each meshing position; Introducing a nonlinear Hertz contact theory, and calculating a contact flexibility matrix of possible contact points at each meshing position; And introducing the overall flexibility matrix, the contact flexibility matrix and the initial gap vector of the possible contact point into a deformation coordination equation, and calculating the meshing stiffness of the meshing position. According to the method, crack propagation paths obtained through fracture mechanics can be considered at the same time, and the influence of a complex matrix structure (including a web structure and a lightening hole structure) on the meshing rigidity of the straight gear can be considered at the same time. According to the method, the straight gear meshing stiffness considering the gear web structure, the lighteninghole structure and the crack propagation path can be calculated at the same time. The result of the method is verified by adopting a three-dimensional contact finite element method, and the result shows that the method disclosed by the invention has higher precision for calculating the meshing stiffness of the crack-containing complex matrix gear.

Description

Technical field [0001] The invention relates to a method for calculating the meshing stiffness of a spur gear considering a complicated matrix and a crack propagation path, and belongs to the technical field of mechanical dynamics. Background technique [0002] At present, the existing spur gear meshing stiffness calculation methods that can simultaneously consider the complex tooth base and the crack propagation path include the following methods: [0003] 1. Based on finite element analysis software [0004] In the finite element software ANSYS, ABAQUS, etc., establish a three-dimensional finite element model with a complex matrix and crack propagation path, and in the software, select the appropriate element and material parameters, complete the three-dimensional model meshing, establish a suitable contact pair, and set Appropriate constraints and selection of appropriate solution methods are used to calculate the meshing stiffness of spur gears with complex matrix and crack path...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 马辉陈康康皇甫一樊赵志芳韩洪征
Owner NORTHEASTERN UNIV
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