A calculation method for time-varying meshing stiffness of helical gears based on finite element analysis

A technology of time-varying meshing stiffness and calculation method, applied in the direction of elements with teeth, belt/chain/gear, hoisting device, etc., can solve the problem of time-varying meshing stiffness of helical gears

CN107763173BActive Publication Date: 2020-01-21UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Publication Date
2020-01-21

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Abstract

The invention discloses a method for calculating the time-varying meshing stiffness of helical gears based on finite element analysis, which is applied to the field of dynamic optimization design of gear transmission systems. Aiming at the current problem of how to obtain the time-varying meshing stiffness of helical gears with high precision and high efficiency, The invention analyzes the elastic deformation by establishing a finite element model, and calculates the meshing stiffness of a single tooth of the gear by combining the ISO method, and then obtains the meshing stiffness of the helical gear. The meshing stiffness provides a reference for improving the theory and application of gear dynamics, gear vibration reduction, noise reduction and gear modification.
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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...

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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...