Design method for elliptical orbit of ball cage type universal coupling

Abstract

The invention discloses a design method for an elliptical orbit of a ball cage type universal coupling, and belongs to the technical field of ball cage type universal coupling design. The method comprises the following steps: analyzing coupling parameters; calculating the center difference between a steel ball and an ellipse; calculating the center size of the ellipse; and calculating the residual tangent parameters of the steel ball and the elliptical raceway through the center difference of the steel ball and the ellipse. According to the method, the center size of the ellipse can be accurately calculated, the repeated and tedious process of three-dimensional model analysis is avoided, and the design efficiency is remarkably improved. Meanwhile, the method is suitable for the conditions of different steel ball sizes, positions and long and short axes of ellipses, the universality is higher, the application range is wider, and powerful support is provided for design of the ball cage type universal coupling.

Description

Technical Field

[0001] The invention relates to a design method for an elliptical track of a ball cage type universal joint, and belongs to the technical field of ball cage type universal joint design. Background Art

[0002] In the aerospace industry, the core design factor of a ball-and-cage universal coupling is the center size of the steel balls, which directly determines the coupling's performance and functionality. The elliptical track, the path along which the steel balls roll, must precisely match the center size of the steel balls to ensure proper rolling within the track and enable the coupling to function as a universal joint.

[0003] Therefore, when the center size of the steel ball is determined and is different from the pre-set size, the center size of the elliptical orbit must be redesigned.

[0004] The commonly used method for calculating elliptical orbit parameters is a three-dimensional simulation method. This involves drawing a three-dimensional model of the steel ball's center, simulating the tangent changes of the elliptical orbit, and then measuring the model to obtain the parameters. However, this method requires repeated modeling for different steel ball sizes, positions, and major and minor axes of the ellipse. This is cumbersome and computationally inefficient, making it difficult to meet the requirements of rapidity and versatility in engineering design. Summary of the Invention

[0005] In order to solve the problems existing in the background technology, the present invention provides a design method for an elliptical track of a ball cage type universal coupling.

[0006] To achieve the above object, the present invention adopts the following technical solution: a method for designing an elliptical track of a ball cage universal coupling, the method comprising the following steps:

[0007] S1: Coupling parameter analysis:

[0008] Define the semiminor axis of the ellipse , the major semi-axis of the ellipse , steel ball radius , Steel ball center size , the center size of the ellipse of the inner star wheel of the coupling , Elliptical center size of outer spider of coupling And the center difference between the steel ball and the ellipse ;

[0009] S2: Calculate the center difference between the steel ball and the ellipse :

[0010] By the equation of the ellipse and the equation of a circle We can get:

[0011] (1)

[0012] S3: Calculate the center size of the ellipse;

[0013] S301: Calculate the center size of the star wheel ellipse in the coupling :

[0014] (2)

[0015] S302: Calculate the center size of the outer spider of the coupling :

[0016] (3)

[0017] S4: The difference between the steel ball and the ellipse center Calculate the remaining parameters of the steel ball tangent to the elliptical raceway.

[0018] Compared with the prior art, the present invention has the following beneficial effects:

[0019] The present invention accurately calculates the center size of an ellipse, avoiding the tedious and repetitive process of three-dimensional model analysis and significantly improving design efficiency. Furthermore, the present invention is applicable to different steel ball sizes, positions, and major and minor axes of the ellipse, offering greater versatility and a wider range of applications, providing strong support for the design of ball-and-cage universal couplings. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 It is a schematic diagram of the structure of the star wheel in the ball cage universal joint;

[0021] Figure 2 It is a structural diagram of the outer star wheel of the ball cage universal joint. DETAILED DESCRIPTION

[0022] The technical solutions of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0023] A method for designing an elliptical track of a ball cage universal coupling, the method comprising the following steps:

[0024] S1: Coupling parameter analysis:

[0025] Parameter calculation is based on Figure 1 As a basis. Define the minor semi-axis of the ellipse , the major semi-axis of the ellipse , steel ball radius , Steel ball center size , the center size of the ellipse of the inner star wheel of the coupling , Elliptical center size of outer spider of coupling And the center difference between the steel ball and the ellipse ;

[0026] S2: Calculate the center difference between the steel ball and the ellipse :

[0027] By the equation of the ellipse and the equation of a circle We can get:

[0028] (1)

[0029] S3: Calculate the center size of the ellipse;

[0030] S301: Calculate the center size of the star wheel ellipse in the coupling :

[0031] (2)

[0032] S302: Calculate the center size of the outer spider of the coupling :

[0033] (3)

[0034] S4: The difference between the steel ball and the ellipse center Calculating the remaining parameters of the tangent between the steel ball and the elliptical raceway is a prior art and will not be described in detail.

[0035] It will be apparent to those skilled in the art that the present invention is not limited to the details of the exemplary embodiments described above and that the invention can be embodied in other forms without departing from the spirit or essential characteristics of the invention. Therefore, the embodiments should be considered in all respects as illustrative and non-restrictive, and the scope of the invention is defined by the appended claims, not the foregoing description, and all variations within the meaning and range of equivalents of the claims are intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim to which it relates.

[0036] In addition, it should be understood that although this specification is described in terms of implementation methods, not every implementation method contains only one independent technical solution. This narrative method of the specification is only for the sake of clarity. Those skilled in the art should regard the specification as a whole. The technical solutions in each embodiment can also be appropriately combined to form other implementation methods that can be understood by those skilled in the art.

Claims

1. A method for designing an elliptical track of a ball cage universal coupling, characterized by: The method comprises the following steps: S1: Coupling parameter analysis: Define the semiminor axis of the ellipse , the major semi-axis of the ellipse , steel ball radius , Steel ball center size , the center size of the ellipse of the inner star wheel of the coupling , Elliptical center size of outer spider of coupling And the center difference between the steel ball and the ellipse ; S2: Calculate the center difference between the steel ball and the ellipse : S3: Calculate the center size of the ellipse; S4: The difference between the steel ball and the ellipse center Calculate the remaining parameters of the steel ball tangent to the elliptical raceway.

2. The method for designing an elliptical track of a ball cage universal joint according to claim 1, characterized in that: The calculation process of S2 is as follows: By the equation of the ellipse and the equation of a circle We can get: （1）。 3. The method for designing an elliptical track of a ball cage universal joint according to claim 1 or 2, characterized in that: The S3 comprises the following steps: S301: Calculate the center size of the star wheel ellipse in the coupling : （2） S302: Calculate the center size of the outer spider of the coupling : （3）。

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