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.

Active Publication Date: 2020-01-14
DALIAN UNIV OF TECH
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Problems solved by technology

[0003] In order to solve the problem of approximate calculation of the equidistant curve of the outer contour of the wave generator, that is, the midline of the fl

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

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Embodiment Construction

[0062] In order to make the technical means realized by the present invention easy to understand, the technical solutions provided by the present invention will be described in detail below in conjunction with the drawings and embodiments.

[0063] The invention provides a method for obtaining the conjugate profile of harmonic gear transmission based on rotation transformation. In this example, to illustrate how the rotation transformation method can solve the conjugate tooth profile of the harmonic gear drive by accurately calculating the centerline of the deformed end of the flexspline. The numerical solution of the rigid profile can be calculated by adopting the double-wave harmonic gear with the involute tooth profile of the flex spline and the standard elliptic cam as the wave generator.

[0064] Firstly, the parameter equation of the left profile of the soft profile is given as:

[0065]

[0066] where r b Indicates the radius of the base circle; θ indicates the ang...

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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.

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...

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Application Information

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IPC IPC(8): G06F30/17G06F17/11
CPCG06F17/11
Inventor 于振江凌四营王晓东刘辉凌明王立鼎
Owner DALIAN UNIV OF TECH
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