Gear pair abrasion loss prediction method based on dynamic meshing force

A forecasting method and a technology of gear pairs, which are applied in the fields of instruments, calculations, electrical digital data processing, etc., can solve the problem that the forecasting method cannot take into account both forecasting efficiency and forecasting accuracy, and achieve the effect of giving consideration to both efficiency and accuracy

Active Publication Date: 2019-06-11
NORTHEASTERN UNIV
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  • Claims
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Problems solved by technology

[0005] Aiming at the existing technical problems, the present invention provides a method for predicting the amount of gear pair wear based on dynamic m...

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  • Gear pair abrasion loss prediction method based on dynamic meshing force
  • Gear pair abrasion loss prediction method based on dynamic meshing force
  • Gear pair abrasion loss prediction method based on dynamic meshing force

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Embodiment 1

[0061] Such as Figure 8 As shown: this embodiment discloses a method for predicting the amount of gear pair wear based on dynamic meshing force, which is characterized in that it includes the following steps:

[0062] S1. Obtain the basic parameters of the gear pair;

[0063] S2. Calculate the time-varying meshing stiffness and static load distribution coefficient of the worn gear pair according to the obtained basic parameters of the gear pair and the tooth bearing contact analysis method;

[0064] S3, introducing the calculated time-varying meshing stiffness into the dynamic model of the gear-rotor system to calculate the dynamic meshing force and dynamic load distribution coefficient of the gear pair;

[0065] S4. Using the Archard wear theory, the empirical formula of the wear coefficient, the dynamic meshing force of the gear pair and the dynamic load distribution coefficient to calculate the wear amount of the tooth surface of the gear pair.

[0066] It should be note...

Embodiment 2

[0103] This embodiment discloses a method for predicting the amount of gear pair wear based on dynamic meshing force, which includes the following steps:

[0104] Step 1: Determine the basic parameters of the gear pair;

[0105] Step 2: Calculate the time-varying mesh stiffness and static load distribution coefficient of the gear pair;

[0106] In this embodiment, the tooth-loaded contact analysis method is used to calculate the time-varying meshing stiffness and load distribution coefficient of the gear pair. The main idea of ​​the tooth load-bearing contact analysis method is to separate the overall deformation of the gear pair from the local deformation, use the finite element method to calculate the rigid body compliance of the gear, and use the analytical formula to calculate the local contact compliance. Here, the MATLAB platform is used to write the finite element program, such as figure 1 is the overall finite element mesh displayed in the MATLAB environment.

[010...

Embodiment 3

[0166] The parameters of the gear pair in the literature [5] are adopted. The torque is 302Nm, and the output speed is 100r / min.

[0167] Table 1 Main parameters of gear pair

[0168]

[0169] The time-varying mesh stiffness of a worn gear pair is Figure 4 Shown (N represents the number of wear cycles). The present invention matches well with the contact finite element method, and the maximum error is 8.68%. This proves that the tooth-loaded contact analysis method used in the present invention can accurately wear the time-varying mesh stiffness of the gear pair. However, the computational efficiency of this method is much higher than that of the finite element method. Taking the calculation of a meshing cycle as an example, this method and the finite element method take 4 seconds and 2 hours respectively.

[0170] Most of the literature on wear curve prediction assumes that the wear coefficient is constant during the meshing cycle, while the wear coefficient obtained...

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Abstract

The invention belongs to the technical field of mechanical dynamics, and particularly relates to a gear pair abrasion loss prediction method based on dynamic meshing force, which comprises the following steps: S1, acquiring basic parameters of a gear pair; S2, calculating the time-varying meshing stiffness and static load distribution coefficient of the worn gear pair according to the acquired basic parameters of the gear pair and a gear tooth bearing contact analysis method; S3, introducing the time-varying meshing stiffness obtained through calculation into a gear rotor system dynamic modelto calculate a dynamic meshing force and a dynamic load distribution coefficient of the gear pair; and S4, adopting an Archard wear theory, a wear coefficient empirical formula, the dynamic meshing force of the gear pair and the dynamic load distribution coefficient to calculate and obtain the tooth surface wear loss of the gear pair. According to the gear pair abrasion loss prediction method based on the dynamic meshing force, prediction efficiency and prediction precision are both considered.

Description

technical field [0001] The invention belongs to the technical field of mechanical dynamics, in particular to a method for predicting the wear amount of a gear pair based on dynamic meshing force. Background technique [0002] In gear transmission, tooth surface wear is inevitable. Accurate and efficient wear prediction methods have always been a hot topic in academic and engineering research. The most common wear theory is the Archard wear theory. The three factors that determine the amount of wear in Archard's wear theory are wear coefficient, slip velocity and contact stress. Early gear wear prediction methods generally use quasi-static meshing forces to calculate tooth surface contact stress. In subsequent studies, scholars gradually realized the limitations of the gear wear model based on quasi-static meshing force, and began to use dynamic meshing force to calculate contact stress. [0003] For the determination of the time-varying mesh stiffness and load distributi...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 马辉皇甫一樊陈康康李娜赵百顺
Owner NORTHEASTERN UNIV
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