考虑导轨几何误差和滑块位置的双驱动滚珠丝杠副载荷分布分析和接触刚度预测

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-12-10 DOI:10.3390/fractalfract7120873

Zhifeng Liu, Weiliang Zuo, Baobao Qi, C. Chen, Jinyan Guo, Dong Li, Shan Gao

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引用次数: 0

摘要

双驱动滚珠丝杠副是横梁移动固定龙门机床的关键部件。在使用过程中，双驱动滚珠丝杠副的轴向载荷会发生变化，从而影响滚珠丝杠副的接触载荷分布。为研究轴向载荷的变化，提出了一个用于确定双驱动滚珠丝杠副轴向载荷偏移的计算模型。考虑了与导轨和滑块位置相关的几何误差的影响。本文提出了双驱动滚珠丝杠副的接触载荷分布模型。本研究探讨了机床在使用过程中双驱动滚珠丝杠副的接触载荷和接触角分布。此外，还基于分形理论建立了单个微凸体和接触面的刚度模型。考虑到导轨几何误差和滑块位置的影响，本研究对滚珠丝杠副的接触刚度进行了全面分析。此外，还通过实验获得了滚珠丝杠副的三维表面形态。本文研究了双驱动滚珠丝杠副在使用过程中的接触刚度分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Load Distribution Analysis and Contact Stiffness Prediction of the Dual-Drive Ball Screw Pair Considering Guide Rail Geometric Error and Slide Position

The dual-drive ball screw pair serves as a crucial element within the fixed gantry machine tool with cross-rail movement. When in service, the dual-drive ball screw pair experiences variations in axial load, impacting the contact load distribution of the ball screw pair. A calculation model for determining the axial load offset of the dual-drive ball screw pair is proposed to investigate the variation in axial load. The impact of the geometric error associated with the guide rail and the position of the slide are considered. This paper presents the contact load distribution model for the dual-drive ball screw pair. This study investigates the contact load and contact angle distribution of the dual-drive ball screw pair during the machine tool in service. Additionally, based on fractal theory, the stiffness models of individual micro-convex body and contact surfaces have been established. This study provides a comprehensive analysis of the contact stiffness of the ball screw pair, considering the influence of guide rail geometric error and slide position. In addition, the three-dimensional surface morphology of ball screw pair is obtained by experiments. This paper investigates the contact stiffness distribution of dual-drive ball screw pair during service.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.