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清华大学学报(自然科学版)  2019, Vol. 59 Issue (2): 91-95    DOI: 10.16511/j.cnki.qhdxxb.2019.22.001
  机械工程 本期目录 | 过刊浏览 | 高级检索 |
基于Wiener过程的数控转台极小子样可靠性分析
张云, 姜楠, 王立平
清华大学 机械工程系, 精密超精密制造装备及控制北京市重点实验室, 北京 100084
Reliability analysis of NC rotary table based on a Wiener process for extremely small samples
ZHANG Yun, JIANG Nan, WANG Liping
Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
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摘要 针对数控转台性能退化过程较为缓慢且存在波动的特点,采用Wiener过程进行数学建模,利用极大似然法结合试验数据分析模型中各未知参数的特点。根据分析结果将模型中的漂移系数和扩散系数设为恒定值,假设性能退化初值服从正态分布,得出数控转台的相关可靠性函数,并与基于伪寿命分布法得出的结果进行比较。结果表明:基于Wiener过程得出的结果较基于伪寿命分布法得出的结果更加符合实际情况。
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张云
姜楠
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关键词 数控转台Wiener过程极大似然估计可靠性估计    
Abstract:The performance of numerical control (NC) rotary tables degrades slowly and oscillatorily. A Wiener process model is developed to improve the reliability estimate of NC rotary tables using the maximum likelihood method to analyze the measured characteristics of each parameter with fixed drift and diffusion coefficients assuming that the initial performance degradation values obey a normal distribution. The model gives the correlation reliability function for the NC rotary table. Comparison of the results with those of the pseudo life distribution method shows that the Wiener process model more accurately predicts the actual characteristics.
Key wordsnumerical control (NC) rotary table    Wiener process    maximum likelihood estimation    reliability estimate
收稿日期: 2018-07-20      出版日期: 2019-02-16
基金资助:国家科技重大专项(2016ZX04004-004)
引用本文:   
张云, 姜楠, 王立平. 基于Wiener过程的数控转台极小子样可靠性分析[J]. 清华大学学报(自然科学版), 2019, 59(2): 91-95.
ZHANG Yun, JIANG Nan, WANG Liping. Reliability analysis of NC rotary table based on a Wiener process for extremely small samples. Journal of Tsinghua University(Science and Technology), 2019, 59(2): 91-95.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2019.22.001  或          http://jst.tsinghuajournals.com/CN/Y2019/V59/I2/91
  表1 数控转台性能退化数据 Ⅰ(部分)
  图1 数控转台回转定位精度误差退化量趋势图
  表2 表1中各组数据退化量初值、 漂移系数和扩散系数
  表3 模型参数的平均值、 标准差以及变异系数
  图2 数控转台可靠度函数曲线(表1数据)
  图3 数控转台失效概率密度函数曲线(表1数据)
  表4 数控转台性能退化数据 Ⅱ(部分)
  图4 数控转台可靠度函数曲线(表4数据)
  图5 数控转台失效概率密度函数曲线(表4数据)
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[1] 张云, 于广, 王立平, 姜楠. 基于性能退化数据的数控转台单子样可靠性分析[J]. 清华大学学报(自然科学版), 2020, 60(4): 299-305.
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