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Six-degree-of-freedom kinetic model modeling method for internal meshing gear pair

A technology of internal meshing gears and dynamic models, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as low accuracy and poor versatility

Active Publication Date: 2021-02-23
WUHAN UNIV OF TECH
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Problems solved by technology

[0004] The purpose of the present invention is to overcome the defects and problems of low accuracy and poor versatility in the prior art, and provide a six-degree-of-freedom dynamic model modeling method for internal meshing gear pairs with high accuracy and good versatility

Method used

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  • Six-degree-of-freedom kinetic model modeling method for internal meshing gear pair
  • Six-degree-of-freedom kinetic model modeling method for internal meshing gear pair
  • Six-degree-of-freedom kinetic model modeling method for internal meshing gear pair

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Embodiment Construction

[0094] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0095] see figure 1 , a six-degree-of-freedom dynamic model modeling method for internal meshing gear pairs, the method includes the following steps:

[0096] S1. Calculate the moment arm size of the external gear and the internal gear by the frictional force between the i-th pair of teeth from entering the meshing area; specifically, the following steps are included:

[0097] S11, establish six degrees of freedom internal meshing gear pair dynamics model figure (such as figure 2 shown);

[0098] The modeling conditions of the dynamic model of the internal meshing gear pair are:

[0099] (1) Both internal and external gears are involute cylindrical spur gears;

[0100] (2) There is no mass eccentricity in the internal gear and external gear;

[0101] (3) Install according to the standard center distance;

[0102] (4) Both the i...

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Abstract

The invention discloses a six-degree-of-freedom kinetic model modeling method for an internal meshing gear pair. The method comprises the following steps: S1, calculating the force arm of the frictionforce between a pair of gear teeth acting on an external gear and an internal gear from entering a meshing area; S2, approximating the comprehensive time-varying stiffness of the internal meshing gear pair in a rectangular wave form; S3, determining the relative displacement of the internal meshing gear pair in the meshing line direction, and determining a gear backlash function, meshing force, friction force and friction torque through the relative displacement in the meshing line direction; S4, performing energy analysis on the whole internal meshing gear pair system, and obtaining a six-degree-of-freedom dynamic differential equation set of the internal meshing gear pair according to the Lagrange equation of free motion; and S5, performing optimization and dimensionless processing on the six-degree-of-freedom kinetic differential equation set. The design is high in accuracy and good in universality.

Description

technical field [0001] The invention relates to the technical field of mechanical system reliability engineering, in particular to a six-degree-of-freedom dynamic model modeling method of an internal meshing gear pair, which is mainly suitable for improving accuracy and versatility. Background technique [0002] Internal gear transmission has the advantages of high transmission efficiency, compact structure, reliable operation, long service life, etc., and is widely used in couplings, gear pumps and planetary gear reducers and other fields. During the actual working process, the internal meshing gear pair will produce some problems such as vibration and noise, which will affect the normal operation of the machine. The nonlinear vibration problem of gear transmission has always been a hot research topic. The fault of internal meshing gear transmission can be predicted or judged by monitoring its vibration signal. Therefore, it is of great significance to study the vibration m...

Claims

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Application Information

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IPC IPC(8): G06F30/17G06F30/20G06F119/14
CPCG06F30/17G06F30/20G06F2119/14Y02T90/00
Inventor 秦训鹏董书洲
Owner WUHAN UNIV OF TECH
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