A New Grey Box Approach for Friction Modelling of Machine Tool Drives

Q2 Engineering

Journal of Machine Engineering Pub Date : 2024-03-20 DOI:10.36897/jme/186269

A. Rüppel, M. Meurer, Thomas Bergs

{"title":"A New Grey Box Approach for Friction Modelling of Machine Tool Drives","authors":"A. Rüppel, M. Meurer, Thomas Bergs","doi":"10.36897/jme/186269","DOIUrl":null,"url":null,"abstract":"Measurement of the process force in milling is usually conducted by using piezo-electric dynamometers which are costly and reduce the stiffness of the system. A less invasive alternative is an indirect estimation of cutting forces based on the power of the servo drives. However, a correction of frictional effects from the transmission system is necessary to achieve accurate results. Most machine tools are equipped with ball-screw drives whose friction behavior is highly nonlinear due to dependency on both velocity and position. This study provides a novel approach to consider all frictional and inertial effects in transmission behavior of ball-screw drives by utilizing the well-established generalized M AXWELL slip (GMS) model and combines it with a data-based approach, namely support vector regression (SVR). The approach acquires the internal states of the GMS model and uses them as an addition-nal input for the SVR. The model is validated on different experiments conducted on a five-axis machining center and compared to established friction models, as well as a sole SVR. The results show the model to have errors between 7% and 12% over the full working range of the x-and y-axes, respectively, outperforming the benchmark models significantly.","PeriodicalId":37821,"journal":{"name":"Journal of Machine Engineering","volume":"28 23","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Machine Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36897/jme/186269","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 0

Abstract

Measurement of the process force in milling is usually conducted by using piezo-electric dynamometers which are costly and reduce the stiffness of the system. A less invasive alternative is an indirect estimation of cutting forces based on the power of the servo drives. However, a correction of frictional effects from the transmission system is necessary to achieve accurate results. Most machine tools are equipped with ball-screw drives whose friction behavior is highly nonlinear due to dependency on both velocity and position. This study provides a novel approach to consider all frictional and inertial effects in transmission behavior of ball-screw drives by utilizing the well-established generalized M AXWELL slip (GMS) model and combines it with a data-based approach, namely support vector regression (SVR). The approach acquires the internal states of the GMS model and uses them as an addition-nal input for the SVR. The model is validated on different experiments conducted on a five-axis machining center and compared to established friction models, as well as a sole SVR. The results show the model to have errors between 7% and 12% over the full working range of the x-and y-axes, respectively, outperforming the benchmark models significantly.

查看原文本刊更多论文

机床驱动摩擦建模的灰箱新方法

铣削过程中的加工力测量通常使用压电测力计，这种仪器成本高，而且会降低系统的刚度。另一种侵入性较小的方法是根据伺服驱动器的功率间接估算切削力。不过，要获得准确的结果，必须对传动系统的摩擦效应进行修正。大多数机床都配备有滚珠丝杠驱动装置，其摩擦行为因与速度和位置相关而高度非线性。本研究提供了一种新方法，通过利用成熟的广义 M AXWELL 滑移（GMS）模型，并将其与基于数据的方法（即支持向量回归（SVR））相结合，来考虑滚珠丝杠传动行为中的所有摩擦和惯性效应。该方法获取 GMS 模型的内部状态，并将其作为 SVR 的附加输入。该模型通过在五轴加工中心上进行的不同实验进行了验证，并与已建立的摩擦模型以及唯一的 SVR 进行了比较。结果表明，在 x 轴和 y 轴的整个工作范围内，该模型的误差分别在 7% 和 12% 之间，明显优于基准模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Machine Engineering Engineering-Industrial and Manufacturing Engineering

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： ournal of Machine Engineering is a scientific journal devoted to current issues of design and manufacturing - aided by innovative computer techniques and state-of-the-art computer systems - of products which meet the demands of the current global market. It favours solutions harmonizing with the up-to-date manufacturing strategies, the quality requirements and the needs of design, planning, scheduling and production process management. The Journal'' s subject matter also covers the design and operation of high efficient, precision, process machines. The Journal is a continuator of Machine Engineering Publisher for five years. The Journal appears quarterly, with a circulation of 100 copies, with each issue devoted entirely to a different topic. The papers are carefully selected and reviewed by distinguished world famous scientists and practitioners. The authors of the publications are eminent specialists from all over the world and Poland. Journal of Machine Engineering provides the best assistance to factories and universities. It enables factories to solve their difficult problems and manufacture good products at a low cost and fast rate. It enables educators to update their teaching and scientists to deepen their knowledge and pursue their research in the right direction.