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Design method for tooth profile equation of cycloidal gear based on instantaneous velocity center method

A technology of instantaneous velocity center method and design method, which is applied to mechanical equipment, components with teeth, belts/chains/gears, etc., and can solve the problems of complex, difficult to understand, and difficult to derive cycloid equations.

Inactive Publication Date: 2016-09-28
BEIJING UNIV OF TECH
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Problems solved by technology

The equation form of the cycloid wheel obtained by the above method is relatively complicated and difficult to understand, and it is not easy to derive in the later process of deriving the curvature equation of the cycloid tooth profile

Method used

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  • Design method for tooth profile equation of cycloidal gear based on instantaneous velocity center method
  • Design method for tooth profile equation of cycloidal gear based on instantaneous velocity center method
  • Design method for tooth profile equation of cycloidal gear based on instantaneous velocity center method

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Embodiment Construction

[0038] In order to further understand the invention content, characteristics and effects of the present invention, the following examples are given, and detailed descriptions are as follows in conjunction with the accompanying drawings:

[0039] A method for designing cycloid gear tooth profile equations based on velocity instant center method, comprising the following steps:

[0040] Step 1. Determine the corresponding relationship between the instantaneous center of speed and the rotation angle of the cycloid reducer:

[0041] figure 1 Shown is a schematic diagram of cycloidal pinwheel transmission. O in the figure 1 It is the midpoint of the entire cycloidal pin gear reducer and also the midpoint of the pin gear. Cycloid wheel with O C Whilst autobiographical for the midpoint while orbiting the O 1 As for the revolution movement, it can be seen from the kinematic relationship that the self-propagation direction of the cycloid wheel is opposite to the revolution directi...

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Abstract

The invention discloses a design method for a tooth profile equation of a cycloidal gear based on the instantaneous velocity center method. The design method comprises the steps of 1, determining the correspondence relation between the instantaneous velocity center and the turning angle of a cycloidal pin gear speed reducer, wherein for determining the position relation of the instantaneous velocity center of the cycloidal pin gear, the eccentric distance is recorded as E, the number of teeth of the pin gear is recorded as N, the radius of pin teeth is recorded as Rr, the radius of the center circle of the pin gear is recorded as R, and the distance length is recorded as Q; and 2, obtaining the tooth profile equation of the cycloidal gear through the homogeneous coordinate transformation technology. The design method for the tooth profile equation of the cycloidal gear based on the instantaneous velocity center method is obtained through the instantaneous velocity center method and the homogeneous coordinate transformation technology, and theoretical bases can be provided for quickly and conveniently obtaining the tooth profile equation of the cycloidal pin gear.

Description

technical field [0001] The invention relates to the technical field of design and manufacture of a cycloidal wheel, in particular to a method for designing a tooth profile equation of a cycloidal wheel based on a velocity instant center method. Background technique [0002] The tooth profile equation of the cycloidal wheel can generally be obtained in the mechanical design manual, and the general push method is obtained according to the meshing principle of the cycloidal pin wheel and the way of coordinate transformation. The equation form of the cycloid wheel obtained by the above method is relatively complicated and difficult to understand, and it is not easy to derive in the later process of deriving the curvature equation of the tooth profile of the cycloid wheel. Contents of the invention [0003] The purpose of the present invention is: the tooth profile equation of the cycloidal gear in the cycloidal pin gear reducer is the key to the design of the reducer, and the ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): F16H55/08F16H55/17
CPCF16H55/08F16H55/17
Inventor 刘志峰张涛王冰
Owner BEIJING UNIV OF TECH
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