基于MEWMA控制图的车身焊接装配尺寸偏差控制研究

中国机械工程 ›› 2014, Vol. 25 ›› Issue (5): 692-697.

基于MEWMA控制图的车身焊接装配尺寸偏差控制研究

曾超;刘坚;李蓉

湖南大学，长沙，410082

出版日期:2014-03-10 发布日期:2014-03-21
基金资助:
国家自然科学基金资助项目（71271078）；国家科技重大专项(2011ZX04015-041)；湖南大学汽车车身先进设计制造国家重点实验室自主课题资助项目(71075005)；中央高校基本科研业务费资助项目

Body Assembly Quality Control Based on MEWMA Control Chart

Zeng Chao;Liu Jian;Li Rong

Hunan University,Changsha,410082

Online:2014-03-10 Published:2014-03-21
Supported by:
National Natural Science Foundation of China（No. 71271078）;National Science and Technology Major Project ( No. 2011ZX04015-041);Fundamental Research Funds for the Central Universities

摘要/Abstract

摘要：

针对车身焊接装配尺寸控制参数多元和尺寸偏移小且缓慢的特点，采用MEWMA控制图对其进行监控。以MEWMA控制图统计性能的分析研究为基础，明确了MEWMA控制图偏移系数δ、控制上限H和权重参数r的关系模型，得到了δ与最优r的计算表达式。应用实例表明，上述方法求解的r值非常接近统计最优的r值，其对应的MEWMA控制图相比于Hotelling's T2控制图和其他r值的MEWMA控制图，对过程小偏移有更好的敏感性。

关键词: 车身焊接装配尺寸, MEWMA控制图, 马尔可夫链, 平均运行链长

Abstract:

Considering the characteristics of body assembly size where multi-parameters were involved and the dimensional shift was slow and small, a MEWMA control chart was proposed for monitoring. Based on its performance analysis, MEWMA control chart's deviation parameter δ,the relation model of upper control limit H and weight parameter r were clarified, and the relational expression of δ and optimum r was obtained as well. In an application example, the value of r resulted from the proposed method is extremely approaching to the statistical optimum value of r, and its MEWMA control chart enjoys better sensibility to small procedure shift, compared with Hotelling's T2 control chart and MEWMA control chart with other values of r.

Key words: body assembly size, multivariate exponentially weighted moving average(MEWMA) control chart, Markov chain, average run length(ARL)

中图分类号:

O213.1

曾超, 刘坚, 李蓉. 基于MEWMA控制图的车身焊接装配尺寸偏差控制研究[J]. 中国机械工程, 2014, 25(5): 692-697.

Zeng Chao, Liu Jian, Li Rong. Body Assembly Quality Control Based on MEWMA Control Chart[J]. China Mechanical Engineering, 2014, 25(5): 692-697.

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