CN-121980713-A - Method, system, equipment and storage medium for calculating accumulated total deviation of tooth pitch

CN121980713ACN 121980713 ACN121980713 ACN 121980713ACN-121980713-A

Abstract

The application discloses a calculation method, a system, equipment and a storage medium of a tooth pitch accumulated total deviation, wherein the calculation method of the tooth pitch accumulated total deviation comprises the steps of obtaining first coordinate data of all tooth surface discrete points of a planetary gear ring, wherein the tooth surface discrete points are discrete nodes of an intersection line of a target tooth surface and a preset reference end surface of the planetary gear ring, the first coordinate data comprise a coordinate before deformation of the tooth surface discrete points and a coordinate after deformation of the tooth surface discrete points, obtaining second coordinate data corresponding to each characteristic node under the condition that each tooth is determined on the basis of all the first coordinate data, determining a single tooth pitch deviation value of each tooth on the target tooth surface on the basis of all the second coordinate data, and determining the tooth pitch accumulated total deviation of the planetary gear ring on the basis of all the single tooth pitch deviation values, so that the calculation efficiency and the accuracy of the tooth pitch accumulated total deviation are improved.

Inventors

WANG JIANING
TANG JINYUAN
LIU HUAMING
SHAO WEN

Assignees

中南大学

Dates

Publication Date: 20260505
Application Date: 20260407

Claims (10)

1. The method for calculating the accumulated total deviation of the tooth pitch is characterized by comprising the following steps of: Acquiring first coordinate data of all tooth surface discrete points of a planetary gear ring, wherein the tooth surface discrete points are discrete nodes of an intersection line of a target tooth surface of the planetary gear ring and a preset reference end surface, and the first coordinate data comprises a pre-deformation coordinate of the tooth surface discrete points and a post-deformation coordinate of the tooth surface discrete points; Under the condition that the characteristic nodes of each tooth on the target tooth surface are determined based on all the first coordinate data, second coordinate data corresponding to each characteristic node are obtained, wherein the tooth surface discrete points comprise the characteristic nodes, and the second coordinate data comprise pre-deformation coordinates of the characteristic nodes and post-deformation coordinates of the characteristic nodes; Determining a single tooth pitch deviation value for each tooth at the target tooth face based on all of the second coordinate data; The cumulative total deviation of the pitches of the planetary gear ring is determined based on all of the individual pitch deviation values.
2. A method of calculating a cumulative total deviation of a tooth space according to claim 1, wherein said determining a characteristic node of each tooth at said target tooth surface based on all of said first coordinate data comprises: determining a first circumference radius corresponding to each tooth surface discrete point based on the first coordinate data; under the condition of acquiring the reference circle radius of the planetary gear ring, subtracting the reference circle radius from the first circumference radius to obtain a radius difference value corresponding to each tooth surface discrete point; screening out the minimum value of the radius difference value of each tooth on the target tooth surface; and taking the tooth surface discrete point corresponding to the minimum value as the characteristic node of the corresponding tooth.
3. The method according to claim 2, wherein the pre-deformation coordinates include a pre-deformation abscissa and a pre-deformation ordinate, wherein the determining a first circumference radius corresponding to each of the tooth surface discrete points based on the first coordinate data includes: Calculating the square value of the abscissa before deformation of each tooth surface discrete point; calculating the square value of the ordinate before deformation of each tooth surface discrete point; calculating the sum of the square value of the abscissa before deformation and the square value of the ordinate before deformation to obtain the square sum of the coordinates before deformation; And obtaining the first circumference radius corresponding to each tooth surface discrete point by dividing the square sum of the coordinates before deformation by square root.
4. A method of calculating a cumulative total deviation of pitches according to claim 3, wherein said determining a single pitch deviation value for each tooth at said target tooth surface based on all of said second coordinate data comprises: determining a second circumference radius corresponding to each feature node based on the pre-deformation coordinates of the feature node; determining a displacement value corresponding to each characteristic node based on the pre-deformation coordinates of the characteristic node and the post-deformation coordinates of the characteristic node; The single tooth pitch deviation value for each tooth at the target tooth surface is determined based on the pre-deformation coordinates of the feature node, the second circumference radius, and the displacement value.
5. The method of claim 4, wherein the displacement values include an abscissa displacement value and an ordinate displacement value, wherein the determining the single pitch displacement value for each tooth at the target tooth surface based on the pre-deformation coordinates of the feature nodes, the second circumference radius, and the displacement value comprises: multiplying the abscissa displacement value by the pre-deformation ordinate of the characteristic node to obtain a first product value; multiplying the ordinate displacement value by the abscissa before deformation of the characteristic node to obtain a second product value; Subtracting the second product value from the first product value to obtain a product difference value; dividing the product difference value by the second circumference radius to obtain circumferential displacement corresponding to the characteristic node; Under the condition that a preset starting tooth is used as a first tooth, all teeth are arranged in an ascending order according to a preset tooth surface direction, the circumferential displacement of a characteristic node corresponding to a second tooth is subtracted from the circumferential displacement of the characteristic node corresponding to the first tooth, the single tooth pitch deviation value of the first tooth is obtained, and the like until the circumferential displacement of the characteristic node corresponding to the first tooth is subtracted from the circumferential displacement of the characteristic node corresponding to an N-th tooth, and the single tooth pitch deviation value of the N-th tooth is obtained, wherein N is the total number of teeth of the planetary gear ring.
6. The method according to claim 5, wherein the post-deformation coordinates include a post-deformation abscissa and a post-deformation ordinate, and the determining the displacement value corresponding to each of the feature nodes based on the pre-deformation coordinates of the feature nodes and the post-deformation coordinates of the feature nodes includes: Subtracting the before-deformation abscissa of the feature nodes from the after-deformation abscissa of the feature nodes to obtain the abscissa displacement value corresponding to each feature node; subtracting the ordinate before deformation of the feature nodes from the ordinate after deformation of the feature nodes to obtain the ordinate displacement value corresponding to each feature node.
7. The method of claim 5, wherein said determining said cumulative total deviation of pitches of said planetary gear ring based on all of said individual pitch deviation values comprises: Taking the single pitch deviation value of the first tooth as a first pitch cumulative total deviation; Adding the single pitch deviation value of the first tooth and the single pitch deviation value of the second tooth to obtain a second accumulated total pitch deviation; Adding the single pitch deviation value of the first tooth, the single pitch deviation value of the second tooth and the single pitch deviation value of a third tooth to obtain a third pitch accumulated total deviation, and so on until the single pitch deviation value of the first tooth to the single pitch deviation value of the Nth tooth are accumulated to obtain an Nth pitch accumulated total deviation; Screening the maximum value from the first accumulated total deviation of tooth pitches to the accumulated total deviation of tooth pitches N to obtain the maximum accumulated total deviation of tooth pitches; screening a minimum value from the first pitch accumulated total deviation to the Nth pitch accumulated total deviation to serve as a minimum pitch accumulated total deviation; Subtracting the minimum pitch accumulated total deviation from the maximum pitch accumulated total deviation to obtain the pitch accumulated total deviation of the planetary gear ring.
8. A system for calculating a cumulative total deviation of a tooth pitch, said system comprising: The data acquisition module is used for acquiring first coordinate data of all tooth surface discrete points of the planetary gear ring, wherein the tooth surface discrete points are discrete nodes of an intersection line of a target tooth surface of the planetary gear ring and a preset reference end surface, and the first coordinate data comprises tooth numbers of the tooth surface discrete points, pre-deformation coordinates of the tooth surface discrete points and post-deformation coordinates of the tooth surface discrete points; The characteristic node determining module is used for acquiring second coordinate data corresponding to each characteristic node under the condition that the characteristic node of each tooth on the target tooth surface is determined based on all the first coordinate data, wherein the tooth surface discrete points comprise the characteristic nodes, and the second coordinate data comprise tooth numbers of the characteristic nodes, coordinates before deformation of the characteristic nodes and coordinates after deformation of the characteristic nodes; a single pitch deviation value determination module for determining a single pitch deviation value for each tooth at the target tooth surface based on all of the second coordinate data; And a pitch cumulative total deviation determination module for determining the pitch cumulative total deviation of the planetary gear ring based on all of the individual pitch deviation values.
9. An electronic device comprising at least one controller and a memory for communication with the controller, the memory storing instructions executable by the at least one controller to cause the at least one controller to perform a method of calculating a cumulative total deviation of pitch as claimed in any one of claims 1 to 7.
10. A computer-readable storage medium having stored thereon computer-executable instructions for causing a computer to perform a method of calculating a cumulative total deviation of tooth pitch as claimed in any one of claims 1 to 7.

Description

Method, system, equipment and storage medium for calculating accumulated total deviation of tooth pitch Technical Field The present application relates to the field of computing technologies of accumulated total deviation of tooth pitches, and in particular, to a method, a system, a device, and a storage medium for computing accumulated total deviation of tooth pitches. Background The accumulated total deviation of the tooth pitch is a core index for evaluating the indexing accuracy and the transmission reliability of the planetary gear ring, and directly influences the meshing performance and the service life of a planetary transmission system. At present, the total accumulated deviation of the tooth pitch is mainly obtained through physical actual measurement or simulation by means of precise equipment such as a gear measuring center or a high-precision tooth pitch instrument, however, the physical actual measurement method depends on precise detection equipment and is difficult to adapt to the requirement of mass production, or a simulation technology is adopted to simulate the whole heat treatment process of a planetary gear ring and obtain tooth surface deformation data, so that the total accumulated deviation of the tooth pitch is predicted, but the planetary gear ring is easy to generate uneven and irregular deformation after heat treatment, and the calculation error is large. Disclosure of Invention The present application aims to at least solve the technical problems existing in the prior art. Therefore, the application provides a method, a system, equipment and a storage medium for calculating the accumulated total deviation of the tooth pitch, which can improve the calculation efficiency and the accuracy of the accumulated total deviation of the tooth pitch. In a first aspect of the present application, a method for calculating a cumulative total deviation of tooth pitch is provided, including the steps of: Acquiring first coordinate data of all tooth surface discrete points of a planetary gear ring, wherein the tooth surface discrete points are discrete nodes of an intersection line of a target tooth surface of the planetary gear ring and a preset reference end surface, and the first coordinate data comprises a pre-deformation coordinate of the tooth surface discrete points and a post-deformation coordinate of the tooth surface discrete points; Under the condition that the characteristic nodes of each tooth on the target tooth surface are determined based on all the first coordinate data, second coordinate data corresponding to each characteristic node are obtained, wherein the tooth surface discrete points comprise the characteristic nodes, and the second coordinate data comprise pre-deformation coordinates of the characteristic nodes and post-deformation coordinates of the characteristic nodes; Determining a single tooth pitch deviation value for each tooth at the target tooth face based on all of the second coordinate data; The cumulative total deviation of the pitches of the planetary gear ring is determined based on all of the individual pitch deviation values. The method for calculating the accumulated total deviation of the tooth pitch has at least the following beneficial effects: according to the method, firstly, the first coordinate data of all tooth surface discrete points of the planetary gear ring are obtained, the tooth surface morphology is completely represented, the position information before and after deformation of each discrete point is completely reserved, comprehensive and accurate basic data support is provided for screening and deviation calculation of subsequent feature nodes, then, under the condition that the feature nodes of each tooth on the target tooth surface are determined based on all the first coordinate data, the second coordinate data corresponding to each feature node is obtained, layering processing of 'complete collection to accurate screening' is achieved, deviation calculation errors caused by feature node omission are avoided, interference of non-feature discrete points on detection results is eliminated, feature node selection of each tooth is guaranteed to be more specific, further, accuracy of single tooth distance deviation value calculation is improved, single tooth distance deviation value of each tooth on the target tooth surface is determined based on all the second coordinate data, total tooth distance deviation of the planetary gear ring is determined, total accumulated quantization from the single tooth distance deviation value to the tooth distance accumulated total deviation of the planetary gear ring is achieved, and tooth distance accumulated total deviation calculation efficiency and accuracy are improved. According to some embodiments of the application, the determining a characteristic node of each tooth at the target tooth surface based on all the first coordinate data includes: determining a first circumference radius corresponding