Method for determining actual steel ball size of ball cage type universal coupling

Abstract

The invention discloses a method for determining the actual steel ball size 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: coupling parameter analysis; calculating the center difference between the wheel sorting steel ball and the ellipse and the actual center difference between the steel ball and the ellipse; and calculating the actual center size of the steel ball. According to the method, mechanical professional knowledge is combined, the tangent between the elliptical orbit and the steel ball is analyzed, the actual center size of the steel ball is directly calculated according to different conditions of the inner star wheel and the outer star wheel, repeated modeling work of three-dimensional model analysis in the prior art is avoided, the measurement efficiency is remarkably improved, meanwhile, the universality of the method is enhanced, and the application range is expanded.

Description

Technical Field

[0001] The invention relates to a method for determining the actual steel ball size of a ball cage type universal coupling, and belongs to the technical field of ball cage type universal coupling design. Background Art

[0002] In the aerospace industry, the measurement of ball-and-cage universal couplings is crucial, with ball center dimensions being a key measurement factor. However, in practice, due to discrepancies between design requirements and actual ball dimensions during manufacturing, the originally designed ball center dimensions often need to be adjusted to ensure coupling performance meets design requirements.

[0003] Currently, the commonly used method is 3D simulation. This involves constructing a 3D model of the center of the steel ball and measuring the model by simulating the tangent changes of the elliptical orbit to obtain the corresponding parameters. This method requires repeated modeling based on different steel ball sizes, ball positions, and the major and minor axes of the elliptical orbit, making the process cumbersome and inefficient. Summary of the Invention

[0004] In order to solve the problems existing in the background technology, the present invention provides a method for determining the actual steel ball size of a ball cage type universal coupling.

[0005] To achieve the above object, the present invention adopts the following technical solution: a method for determining the actual steel ball size of a ball cage universal coupling, the method comprising the following steps:

[0006] S1: Coupling parameter analysis:

[0007] Define the ellipse's minor semi-axis a, ellipse's major semi-axis b, theoretical steel ball radius r, actual steel ball radius r1, theoretical steel ball center size D, ellipse center size D1, actual steel ball center size D2, theoretical steel ball and ellipse center difference m, and actual steel ball and ellipse center difference m1;

[0008] S2: Calculate the center difference m between the theoretical wheel steel ball and the ellipse, and the center difference m1 between the actual steel ball and the ellipse;

[0009] By the equation of the ellipse and the equation of a circle We can get:

[0010] (1)

[0011] (2)

[0012] S3: Calculate the actual steel ball center size D2.

[0013] S301: Calculate the actual center size of the steel balls in the coupling:

[0014] (3)

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

[0016] (4)

[0017] Compared with the prior art, the present invention has the following beneficial effects:

[0018] The present invention combines mechanical expertise to analyze the tangency between the elliptical orbit and the steel ball, and directly calculates the actual center size of the steel ball for the different conditions of the inner and outer planetary gears. This avoids the repeated modeling work of three-dimensional model analysis in the existing technology, significantly improves measurement efficiency, and at the same time enhances the versatility of the method and expands its scope of application. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] Figure 1 It is a schematic diagram of the structure of the star wheel in the ball cage universal joint;

[0020] Figure 2 It is a structural diagram of the outer star wheel of the ball cage universal joint. DETAILED DESCRIPTION

[0021] 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.

[0022] A method for determining the actual steel ball size of a ball-cage universal coupling, the method comprising the following steps:

[0023] S1: Coupling parameter analysis:

[0024] Parameter calculation is based on Figure 1 This figure reflects the tangent relationship between the steel ball and the elliptical orbit, and defines the ellipse's minor semi-axis a, the ellipse's major semi-axis b, the theoretical steel ball radius r, the actual steel ball radius r1, the theoretical steel ball center size D, the ellipse center size D1, the actual steel ball center size D2, the theoretical steel ball and ellipse center difference m, and the actual steel ball and ellipse center difference m1;

[0025] S2: Calculate the center difference m between the theoretical wheel steel ball and the ellipse, and the center difference m1 between the actual steel ball and the ellipse;

[0026] By the equation of the ellipse and the equation of a circle We can get:

[0027] (1)

[0028] (2)

[0029] S3: Calculate the actual steel ball center size D2.

[0030] S301: Calculate the actual center size of the steel balls in the coupling:

[0031] (3)

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

[0033] (4).

[0034] 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.

[0035] 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 determining the actual steel ball size of a ball cage universal coupling, characterized by: The method comprises the following steps: S1: Coupling parameter analysis: Define the ellipse's minor semi-axis a, ellipse's major semi-axis b, theoretical steel ball radius r, actual steel ball radius r1, theoretical steel ball center size D, ellipse center size D1, actual steel ball center size D2, theoretical steel ball and ellipse center difference m, and actual steel ball and ellipse center difference m1; S2: Calculate the center difference m between the theoretical wheel steel ball and the ellipse, and the center difference m1 between the actual steel ball and the ellipse; S3: Calculate the actual steel ball center size D2.

2. The method for determining the actual steel ball size of a ball-and-cage universal coupling 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） （2）。 3. The method for determining the actual steel ball size of a ball cage universal coupling according to claim 1 or 2, characterized in that: The S3 comprises the following steps: S301: Calculate the actual center size of the steel balls in the coupling: （3） S302: Calculate the actual center size of the steel ball of the outer spider of the coupling: （4）。

Images