Cylinder axis element error model under multi-tolerance coupling effect and solving method

By combining the SDT small displacement screw method and the Monte Carlo method, an error model for the cylindrical axis under multi-tolerance coupling was established, which solved the problem of uncertain variation range of geometric element errors of the cylindrical axis and realized accurate prediction of errors and verification of design accuracy.

CN120911015APending Publication Date: 2025-11-07BEIJING UNIV OF TECH
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Patent Information

Application Number
CN202511010325.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-07-22
Publication Date
2025-11-07

AI Technical Summary

Technical Problem

Existing technologies struggle to accurately predict the range of error variation in the geometric elements of a cylindrical axis under multiple tolerance coupling constraints, and they neglect the combined effects of geometric shape deviation and pose deviation.

Method used

Combining the SDT small displacement screw method with part tolerances, the error is described by small variations in six degrees of freedom. A cylindrical axis error model under multi-tolerance coupling is established, and linear regression fitting and Monte Carlo method are used for solution, taking into account the coupling constraints of coaxiality, perpendicularity and straightness tolerances.

Benefits of technology

It enables accurate prediction of cylindrical axis errors, verifies the correctness of design accuracy levels, and reduces unnecessary manufacturing costs.

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Abstract

The invention discloses a cylinder axis element error model and a solving method under a multi-tolerance coupling effect, and the method comprises the steps: 1, describing the geometric element error of a part through the tiny variation of six degrees of freedom; 2, constructing a rectangular coordinate system by taking the center of the rational cylinder as an original point; 3, according to the technical specification, the intersecting line of the straightness tolerance domain and the plane YOZ is a parallel straight line with the interval being TF. 4, the coaxiality not only locks the directions of the geometric elements, but also limits the positions of the geometric elements; the perpendicularity only locks the direction; 5, substituting the variation inequality and the constraint inequality of each error component of the upper and lower boundaries of the straightness tolerance to determine the variation range and the constraint inequality range of each error component; and 6, simulating and sampling error component groups of the upper and lower boundaries by combining the error component probability distribution model. According to the method, whether the error under the design tolerance coupling effect exceeds the required maximum error or not can be accurately verified, the correctness of the design precision grade is verified, and the unnecessary manufacturing cost is reduced.
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