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中南大学学报(自然科学版)

Journal of Central South University

第48卷    第10期    总第278期    2017年10月

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文章编号:1672-7207(2017)10-2672-06
大型数控成形磨齿机热误差建模及补偿
周宝仓1,王时龙1,方成刚2,杨勇3

(1. 重庆大学 机械传动国家重点实验室,重庆,400044; 2. 南京工业大学 机械与动力工程学院,江苏 南京,210009; 3. 重庆机床(集团)有限责任公司,重庆 401336)

摘 要: 基于大型数控成形磨齿机热误差是影响齿面加工精度的重要因素,通过建立磨齿机热误差实验平台,研究砂轮与工件轴的径向热误差随温度变化的关系。结合模糊聚类法基本原理和最小二乘法理论,建立砂轮与工件轴的径向热误差补偿模型,并将补偿模型的计算值与实验检测值进行对比。进行热误差补偿加工实验,验证热误差补偿模型的准确性与可靠性,揭示成形磨齿机热误差与温度之间的关系。研究结果表明:该误差模型的补偿精度高、可靠性好,与实验测量值的相对误差小于2.000%,可有效提升齿面整体加工精度(ISO) 3级以上。

 

关键词: 数控成形磨齿机;热误差;模糊聚类;最小二乘法;误差补偿模型

Modeling and compensation of thermal error for large-scale CNC gear profile grinding machine tools
ZHOU Baocang1, WANG Shilong1, FANG Chenggang2, YANG Yong3

1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China; 2. School of Mechanical and Power Engineering, Nanjing University of Technology, Nanjing 210009, China; 3. Chongqing Machine Tool (Group) Co. Ltd., Chongqing 401336, China

Abstract:Considering that the thermal error of large-scale computerized numerical control (CNC) gear profile grinding machine tools is an important factor for gear machining accuracy, a thermal error experiment platform was established to investigate the relationship between radial thermal error and temperature of the grinding wheel and the workpiece shaft. Then the thermal error compensation models of them were set up by adopting the methods of fuzzy clustering and least-square. After that, the results of thermal error compensation models and the experimental data were compared. The accuracy and reliability of the thermal error compensation models were verified, and the relationship between the thermal error and the temperature of the gear grinding machine tools was also revealed. The results show that the relative errors between models calculation and experimental data are less than 2.000%, and the machining accuracy of tooth surface can be effectively improved more than three levels according to the ISO standard. The analysis indicates the thermal error models have high compensation precision and good reliability.

 

Key words: CNC gear profile grinding machine tools; thermal error; fuzzy clustering; least-square method; error compensation model

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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