Method for obtaining harmonic gear transmission conjugate profile based on rotation transformation

A technology of harmonic gear and rotation transformation, applied in complex mathematical operations, geometric CAD, etc.
CN110688716AActive Publication Date: 2020-01-14DALIAN UNIV OF TECH
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Patent Information

Authority / Receiving Office
CN · China
Current Assignee / Owner
DALIAN UNIV OF TECH
Publication Date
2020-01-14

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Abstract

The invention provides a method for obtaining a harmonic gear transmission conjugate profile based on rotation transformation. According to the method, a track expression of any point on a center lineof a deformation end of the flexible gear is solved by utilizing coordinate transformation. According to a kinematics principle, a meshing equation of harmonic gear transmission is constructed. And the calculation flow chart of the method is completely drawn. The method is characterized in that the motion trails of points on the center line of the deformation end of the flexible gear are accurately described through coordinate transformation, that is, the center line of the deformation end of the flexible gear is calculated strictly according to the equidistant curve of the outer contour of the wave generator, and the rotation angle can be accurately calculated. When the profile curve of the wave generator and the profile of any gear are known, the theoretical profile of the other gear can be solved by using the method. The method has important guiding significance for optimization design of the contour shape of the harmonic tooth.
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Description

technical field

[0001] The invention belongs to the field of harmonic gear transmission profile design and relates to a method for obtaining a harmonic gear transmission conjugate profile based on rotation transformation. Background technique

[0002] For the research on the profile design of harmonic gear transmission, many people have put forward corresponding research methods. For example, in the late 1970s, Ginzberg proposed the constant velocity curve method in his book (reference: Ginzberg’s work, translated by Wang Fumin, Harmonic Gear Transmission—Principle, Design and Technology, 1982). For some working profiles, the required results can be obtained according to this method, but the constant velocity curve of the flexspline is sometimes difficult to realize in technology. After entering the 1980s, Chinese scholars Si Guangchen and Shen Yunwen successively published books on harmonic gear transmission, and proposed the envelope method in their works (reference: Shen...

Claims

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