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Helical gear time-varying mesh stiffness calculating method based on finite element analysis

A technology of time-varying meshing stiffness and calculation method, applied in the direction of calculation, components with teeth, belts/chains/gears, etc., can solve the problems of time-varying meshing stiffness of helical gears

Active Publication Date: 2018-03-06
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology

However, how to obtain the time-varying meshing stiffness of helical gears with high precision and high efficiency remains to be solved

Method used

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  • Helical gear time-varying mesh stiffness calculating method based on finite element analysis
  • Helical gear time-varying mesh stiffness calculating method based on finite element analysis
  • Helical gear time-varying mesh stiffness calculating method based on finite element analysis

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Embodiment Construction

[0059] In order to facilitate those skilled in the art to understand the technical content of the present invention, the content of the present invention will be further explained below in conjunction with the accompanying drawings.

[0060] Such asfigure 1 Shown is the scheme flow chart of the present invention, the technical scheme of the present invention is: a kind of time-varying meshing stiffness calculation method of helical gears based on finite element analysis, comprising:

[0061] S1. Calculate the involute lengths of a pair of meshing gear driving wheels and driven wheels respectively; the specific calculation process is as follows:

[0062]

[0063] θ k =(tanα k -α k ) (2)

[0064] where r b is the base circle radius; θ k is the spread angle at point k on the involute line, r k is the distance from the center of the circle to point k on the involute line, α k is the pressure angle on the involute; s is the length of the gear involute.

[0065] The calcu...

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Abstract

The invention discloses a helical gear time-varying mesh stiffness calculating method based on finite element analysis, and belongs to the field of gear transmission system dynamics optimization design. How to calculate the helical gear time-varying mesh stiffness in a high precision and high efficiency mode in the prior art is the problem needing to be solved. According to the helical gear time-varying mesh stiffness calculating method, elastic deformation is analyzed by building a finite element model, gear single-tooth mesh stiffness is calculated through an ISO method, and accordingly, helical gear mesh stiffness is obtained; the helical angle value range and the gear width value range are not limited, the high-precision helical gear time-varying mesh stiffness can be calculated, and the reference is provided for gear dynamics theory and application perfecting, gear vibration reduced, noise reduction, gear modification and other aspects.

Description

technical field [0001] The invention belongs to the field of dynamic analysis of gear transmission systems, in particular to a calculation method for time-varying meshing stiffness of helical gears. Background technique [0002] Helical gears have the characteristics of stable transmission ratio, compact structure, stable transmission and high transmission efficiency, so helical gears are widely used in various industrial machinery and equipment, such as aircraft, submarines, automobiles, harvesting machines, etc. Gear drives are elastic mechanical systems that rely on external stimuli for dynamic response. However, the primary problem in the study of gear transmission systems is how to solve the basic principles of dynamic excitation of gears, and determine the type and nature of dynamic excitation. Among them, the dynamic excitation generated by the time-varying meshing stiffness of the gear is the most important excitation in the gear transmission system, an important pa...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): F16H55/17G06F17/50
CPCF16H55/17G06F30/17
Inventor 张小玲赵攀韩旺黄协思凌丹张恒宾
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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