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工程设计学报
工程设计学报  2021, Vol. 28 Issue (3): 278-286    DOI: 10.3785/j.issn.1006-754X.2021.00.040
设计理论与方法     
基于多源融合理论的机床圆度误差测量不确定度评定
付扬, 李国龙, 徐凯, 唐晓东
重庆大学 机械传动国家重点实验室， 重庆 400044
Evaluation of uncertainty of machine tool roundness error measurement based on multi-source fusion theory
FU Yang, LI Guo-long, XU Kai, TANG Xiao-dong
State Key Laboratory of Mechanical Transmissions， Chongqing University， Chongqing 400044， China
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摘要： 圆度误差是评价机床加工精度的重要指标。为实现机床圆度误差测量不确定度的评定，对基于球杆仪测量的机床圆度误差的贡献因素及不确定度评定方法进行研究。首先，采用最小二乘法（least sqaure method，LSM）对圆度误差进行评定。然后，基于黑箱理论提出了多源融合误差测量不确定度评定方法。接着，根据球杆仪测量机床圆度误差的基本原理，建立了机床圆度误差测量不确定度评定模型。最后，利用球杆仪对某加工中心ZX平面的圆度误差进行多组重复测量实验，采用所提出的方法对圆度误差测量不确定度进行计算，并与基于蒙特卡罗法（Monte Carlo method，MCM）的计算结果进行对比验证。结果表明，基于所提出方法和MCM的机床圆度误差测量不确定度的评定结果分别为1.190 0 和1.160 0 μm，两者的相对偏差约为2.5%，由此验证了所提出方法的可行性。所提出方法规避了繁杂的输入量与输出量之间函数关系的求解过程，简化了机床圆度误差测量不确定度的评定过程，具有较强的实用性。
Abstract: Roundness error is an important parameter to evaluate the machining accuracy of machine tools. In order to realize the evaluation of the roundness error measurement uncertainty of machine tools, the contributing factors and uncertainty evaluation method of the machine tool roundness error based on the ballbar measurement are studied. Firstly, the least square method (LSM) was used to evaluate the roundness error. Secondly, a multi-source fusion error measurement uncertainty evaluation method was proposed based on the black box theory. Thirdly, according to the basic principle of machine tool roundness error measured by the ballbar, an evaluation model of machine tool roundness error measurement uncertainty was established. Finally, multiple sets of repeated measurement experiments on the roundness error of the ZX plane of a machining center were carried out by the ballbar, and the roundness error measurement uncertainty was calculated by the proposed method, which was compared with the calculation results based on the Monte Carlo method (MCM) for verification. The results showed that the roundness error uncertainty evaluation results of the machine tool based on the proposed method and MCM were 1.190 0 and 1.160 0 μm, respectively, and the relative deviation was about 2.5%, which verified that the feasibility of the proposed method. The proposed method avoids the complicated process of solving the functional relationship between inputs and outputs, and simplifies the evaluation process of the roundness error measurement uncertainty of machine tools, which has strong practicability.
收稿日期: 2020-07-29 出版日期: 2021-06-28
:  TH 161.12  
基金资助: 国家重点研发计划资助项目（2019YFB1703700）
通讯作者: 李国龙（1969—），男，重庆人，教授，博士生导师，博士，从事智能数控技术及系统、精密制齿技术及装备等研究，E-mail：glli@cqu.edu.cn     E-mail: glli@cqu.edu.cn
作者简介: 付扬（1994—），男，湖北十堰人，硕士生，从事智能制造装备及系统开发研究，E-mail：1476551656@qq.com，https：//orcid.org/0000-0002-6037-8051；
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引用本文:

付扬, 李国龙, 徐凯, 唐晓东. 基于多源融合理论的机床圆度误差测量不确定度评定[J]. 工程设计学报, 2021, 28(3): 278-286.

FU Yang, LI Guo-long, XU Kai, TANG Xiao-dong. Evaluation of uncertainty of machine tool roundness error measurement based on multi-source fusion theory. Chinese Journal of Engineering Design, 2021, 28(3): 278-286.

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https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2021.00.040    或    https://www.zjujournals.com/gcsjxb/CN/Y2021/V28/I3/278

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