An efficiency calculation model for ball screws by accounting for lead errors

Q4 Engineering

Mathematical Models in Engineering Pub Date : 2023-11-17 DOI:10.21595/mme.2023.23735

Yishen Zhang, Chang-Guang Zhou, Hutian Feng

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Abstract

Transmission efficiency is a pivotal indicator, providing a comprehensive view of the overall performance of a ball screw. While extensive research has predominantly focused on computing transmission efficiency across various operating conditions, the factors influencing the variability have often been overlooked. This study introduces an innovative method for computing transmission efficiency, which considers lead error, drawing on deformation coordination theory and load distribution. Multiple ball screws of varying precision grades underwent rigorous testing to quantify lead errors. Subsequently, each screw was matched with an identical set of nuts to measure the respective transmission efficiencies. Experimental results reveal a linear correlation between lead error and transmission efficiency when both lead error and uneven ball load distribution in ball screws are considered. The relative error between the calculated transmission efficiency results and experimental values for ball screws of different precision grades falls within the range of 0 % to 7.42 %, confirming the validity of the proposed model in this paper.

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考虑导程误差的滚珠丝杠效率计算模型

传动效率是一个关键指标，可全面反映滚珠丝杠的整体性能。虽然大量研究主要集中在计算各种运行条件下的传动效率，但影响其变化的因素往往被忽视。本研究借鉴变形协调理论和载荷分布，引入了一种计算传动效率的创新方法，该方法考虑了导程误差。多个不同精度等级的滚珠丝杠经过了严格的测试，以量化导程误差。随后，将每个螺钉与一组相同的螺母进行匹配，测量各自的传动效率。实验结果表明，当考虑到滚珠丝杠中的导程误差和滚珠载荷分布不均匀时，导程误差和传动效率之间存在线性相关关系。对于不同精度等级的滚珠丝杠，计算出的传动效率结果与实验值之间的相对误差在 0 % 到 7.42 % 之间，这证实了本文所提模型的有效性。

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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