Improved calculation method of contact deformation of ball screw pair based on fractal theory

By constructing microscopic and macroscopic deformation models of ball screw pairs using fractal theory and contact mechanics theory, and combining effective ball number optimization, the problem of inaccurate deformation calculation in traditional models is solved, and high-precision prediction of the load-bearing capacity of ball screw pairs is achieved.

CN116629022BActive Publication Date: 2026-07-24NANJING UNIV OF SCI & TECH
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Patent Information

Application Number
CN202310738078.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-06-21
Publication Date
2026-07-24
Estimated Expiration
2043-06-21

AI Technical Summary

Technical Problem

In studying the deformation mechanism of ball screw pairs, existing technologies often fail to accurately calculate deformation because the traditional contact model differs significantly from the actual load and deformation in real-world applications. This lack of research combining microscopic and macroscopic perspectives leads to inaccurate deformation calculations.

Method used

A micro-convex body contact model is constructed based on fractal theory, micro-contact mechanics, and cosine function. Combined with Hertz contact theory, Hornton elastoplastic contact theory, and the Mises criterion for yield characteristics, a macroscopic ball screw pair deformation model is constructed. The model is then optimized by considering the effective number of balls to establish an overall calculation model.

Benefits of technology

The accuracy of deformation calculation during the deformation process of the ball screw pair was improved, and the error was reduced to 4.08%, which significantly improved the prediction accuracy of the load-bearing capacity of the ball screw pair.

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Abstract

The application discloses a kind of based on fractal theory's ball screw pair contact deformation improved calculation method, applied to ball screw pair bearing performance technical field, it includes: based on fractal theory, micro contact mechanics theory and the cosine function to micro asperity elastic-plastic stage research three common constructions micro asperity contact model;Based on Hertz contact theory, hornton elastic-plastic contact theory and yield characteristic Mises criterion, construct macro level ball screw pair deformation model;Optimize macro level ball screw pair deformation model in combination with effective ball number;Establish ball screw pair contact deformation overall calculation model.The application improves the accuracy of deformation amount calculation in the deformation process of ball screw pair, better guide the process and design application of relevant functional components.
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