基于量纲分析的简单线性轮廓与多变量的测量系统能力评价

AN Analysis of Simple Linear Profile and Multivariate Measurement Mystems Integrating Dimensional Analysis

测量系统分析是统计质量改进或控制的一项主要内容,目前,多元测量系统的分析和评价运用多元方差分析法或主成分分析法较多,在实际生产过程中,存在简单线性轮廓与多变量质量特性的复杂多元测量系统的情况,而针对这种复杂多元测量系统能力评估的研究较少。本文提出了基于量纲分析的复杂多元测量系统能力评价方法,集成物理和统计分析,利用物理中量纲分析的方法研究产品或过程各相关变量之间的物理关系,将多元转化为一元测量系统问题,再利用一元测量系统能力评估的统计方法及指标来对测量系统能力进行评价。最后,本文再现经典纸飞机试验,运用所提量纲分析方法对纸飞机的测量系统进行分析和评价,验证方法的有效性。

Measurement system analysis is one of the main contents of statistical quality improvement or control.At present,multivariate analysis of variance or principal component analysis methods are applied to analysis and evaluate multivariate measurement systems.In the actual production process,there are complex multivariate measurement systems with simple linear profile and multivariate quality characteristics.However,few studies have been done on the evaluation of measurement system capability for this complex multivariate quality characteristics.In this article,a method for evaluating the capability of complex multivariate measurement systems based on dimensional analysis is proposed integrating physical and statistical analysis.The method of dimensional analysis in physics is used to study the physical relationship among the related variables of products or processes.The problem of measurement system is transformed from multivariate into univariate measurement system and statistical methods and indicators are used to evaluate the capability of measurement system.Finally,the paper reproduces the classical paper aircraft test,and analyzes and evaluates the measurement system of the paper aircraft by using the proposed dimensional analysis method to verify the effectiveness of the method.