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Method for solving dynamic characteristics of involute straight gear transmission system

A transmission system and dynamic characteristics technology, applied in the field of dynamics, can solve problems such as inability to efficiently and accurately reflect the dynamic characteristics of the gear system, incomplete influencing factors, and low calculation efficiency

Active Publication Date: 2019-08-23
NORTHEASTERN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004]In summary, although scholars at home and abroad have done a lot of meaningful research on the nonlinear dynamics of gear systems, most of the research or consideration of influencing factors do not Comprehensive, or the calculation efficiency is not high, so it cannot reflect the dynamic characteristics of the gear system efficiently and accurately

Method used

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  • Method for solving dynamic characteristics of involute straight gear transmission system
  • Method for solving dynamic characteristics of involute straight gear transmission system
  • Method for solving dynamic characteristics of involute straight gear transmission system

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Embodiment

[0088] This embodiment takes a certain involute spur gear transmission system as the research object, and its specific parameters are shown in Table 1:

[0089] Table 1 Basic parameters of involute spur gear transmission system

[0090]

[0091]

[0092] Such as figure 1 As shown, the present invention provides a method for solving the dynamic characteristics of an involute spur gear transmission system, which includes the following steps:

[0093] Step S1: Establish a nonlinear dynamic model of the involute spur gear transmission system based on the concentrated mass method;

[0094] figure 2 In the model shown, in the ideal center A of the driving and driven gears i Establish a fixed coordinate system A i (x i ,y i ,z i )(i=1,2), at the ideal center B of the bearing i Establish a fixed coordinate system B i (x bi ,y bi ,z bi )(i=1~4). Coordinate axis x i , X bi Perpendicular to gear meshing line; coordinate axis y i , Y bi Parallel to gear meshing line; coordinate axis z i ,z bi P...

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Abstract

The invention provides a method for solving dynamic characteristics of an involute straight gear transmission system. The method comprises the steps: S1, establishing an involute straight gear transmission system nonlinear kinetic model based on a concentrated mass method; s2, considering the time-varying meshing stiffness, the dynamic transmission error, the friction, the eccentricity, the shapecorrection, the gap, the gravity and the nonlinear bearing force, and deriving an involute straight gear transmission system nonlinear kinetic equation based on a Lagrangian equation; s3, based on Runger-Kutta method to solve the dynamic characteristics of the involute straight gear transmission system. According to the method, nonlinear influence factors such as time-varying meshing stiffness anddynamic transmission errors are comprehensively considered, and a mass concentration method, a Lagrangian equation and Runger-Kutta method is combined and applied to solving the dynamic characteristics of the involute straight gear transmission system, the solving accuracy and efficiency of the dynamic characteristics of the involute straight gear transmission system are improved, and the methodhas important significance for improving the meshing stability and bearing capacity of the gear transmission system, reducing the friction loss and the like.

Description

Technical field [0001] The invention relates to the technical field of dynamics, in particular, to a method for solving the dynamic characteristics of an involute spur gear transmission system. Background technique [0002] As the main transmission system, the transmission performance of the gear system directly affects the performance and reliability of high-end equipment. The transmission process of the gear system is often affected by the nonlinear coupling of multiple factors, so the study of the nonlinear dynamics of the involute spur gear transmission system is of great significance to improve the mechanical performance and reliability of high-end equipment. [0003] Many scholars at home and abroad have done a lot of meaningful research on the dynamic characteristics of the gear system and have achieved certain results. Fernandez et al. established a nonlinear dynamic model with tooth profile error, and analyzed the influence of tooth profile error on transmission performan...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F17/11
CPCG06F17/11G06F30/20Y02T90/00
Inventor 张禹王明明唐滋阳李帅卫
Owner NORTHEASTERN UNIV
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