数控机床元动作链运动误差传递及综合精度建模

doi:10.3901/JME.2023.23.211

机械工程学报 ›› 2023, Vol. 59 ›› Issue (23): 211-220.doi: 10.3901/JME.2023.23.211

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数控机床元动作链运动误差传递及综合精度建模

冉琰^1,2, 田轲^1,2, 窦一凡^1,2, 金传喜^1,2, 张根保³, 慕宗燚³

1. 重庆大学机械与运载工程学院重庆 400044;
2. 重庆大学机械传动国家重点实验室重庆 400044;
3. 重庆文理学院机电工程学院重庆 402160

收稿日期:2022-12-01 修回日期:2023-06-08 发布日期:2024-02-20
通讯作者: 冉琰(通信作者)，女，1988年出生，副教授，博士研究生导师。主要研究方向为数控机床可靠性、机电产品质量。E-mail：ranyan@cqu.edu.cn
作者简介:田轲，男，1991年出生，硕士研究生。主要研究方向为机电产品质量工程。E-mail：tianke1123@126.com
基金资助:
国家自然科学基金(52275473，51835001)和国家重点实验室青年人才(SKLMT-ZZKT-2021R06)资助项目。

Kinematic Error Transfer and Integrated Precision Modeling of the Meta-action Chain for CNC Machine Tools

RAN Yan^1,2, TIAN Ke^1,2, DOU Yifan^1,2, JIN Chuanxi^1,2, ZHANG Genbao³, MU Zongyi³

1. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044;
2. State Key Lab of Mechanical Transmission, Chongqing University, Chongqing 400044;
3. College of Mechanical and Electrical Engineering, Chongqing University of Arts and Sciences, Chongqing 402160

Received:2022-12-01 Revised:2023-06-08 Published:2024-02-20

摘要/Abstract

摘要： 针对目前缺乏数控机床传动链内运动误差传递机理及传递链间精度耦合关系的研究，提出了一种基于元动作的数控机床运动误差传递及综合精度建模方法。首先对机床进行“功能-运动-动作”(FMA)分解，得到元动作和元动作链；然后从元动作单元的输出件入手，分析异层元动作间的运动传递机理，建立单条元动作链的运动误差传递模型；考虑相邻元动作链间同层元动作的耦合影响，基于概率分布及黑箱模型建立元动作链的综合精度模型。最后，以数控机床的转台分度运动为例，说明了该方法的合理性和有效性。

关键词: 数控机床, 元动作, 运动误差, 误差传递, 综合精度

Abstract: Aiming at the lack of research on transmission mechanism of kinematic errors in the transmission chains and the coupling relationship of precision between transmission chains of CNC machine tool, a methodology for kinematic error transfer and integrated precision modeling of CNC machine tools is proposed based on meta-action. Firstly, the "function-motion-action" (FMA) decomposition of the machine tool is carried out to obtain the meta-action and the meta-action chain. Secondly, starting from the output of the meta-action unit, the kinematic transfer mechanism between the meta-actions of different layers is analyzed, and a kinematic error transfer model of the single meta-action chain is established. Considering the coupling influence of the same-layer meta-action between adjacent meta-action chains, an integrated precision model of the single meta-action chain can be established based on probability distribution and black-box model. Finally, the rationality and effectiveness of the method are illustrated by an example of the indexing motion of the turntable of the CNC machine tool.

Key words: CNC machine tool, meta-action, kinematic error, error transfer, integrated precision

中图分类号:

TG659

冉琰, 田轲, 窦一凡, 金传喜, 张根保, 慕宗燚. 数控机床元动作链运动误差传递及综合精度建模[J]. 机械工程学报, 2023, 59(23): 211-220.

RAN Yan, TIAN Ke, DOU Yifan, JIN Chuanxi, ZHANG Genbao, MU Zongyi. Kinematic Error Transfer and Integrated Precision Modeling of the Meta-action Chain for CNC Machine Tools[J]. Journal of Mechanical Engineering, 2023, 59(23): 211-220.

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数控机床元动作链运动误差传递及综合精度建模

Kinematic Error Transfer and Integrated Precision Modeling of the Meta-action Chain for CNC Machine Tools

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