线性判别分析在表征抛光布抛光效果中的应用研究  

Application of linear discriminant analysis to characterize effect of polishing cloths

作　　者：赵登超 刘明 周超[1] 黄宇星 ZHAO Deng-chao;LIU Ming;ZHOU Chao;HUANG Yu-xing(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]福州大学机械工程及自动化学院,福建福州350116

出　　处：《机电工程》2018年第8期793-798,810,共7页Journal of Mechanical & Electrical Engineering

基　　金：国家自然科学基金资助项目(51705082);福建省高端装备制造协同创新中心资助项目(0020-50006103);福建省闽江学者启动基金资助项目(0020-510486)

摘　　要：针对目前抛光表面质量评定方法仅限于使用一维粗糙度参数,评定参数数量选取没有统一标准的问题,选取丝绒、真丝绒、平绒、呢绒4类抛光布和氧化铝抛光液对金属铜进行了抛光实验。通过共聚焦轮廓仪扫描获得了金属铜抛光表面形貌,提出了基于机器学习中的线性判别分析,选取了多个三维粗糙度参数(算术平均高度、高度均方根、倾斜度、峰度等)进行了聚类、降维分析;运用logistic回归、单因素方差分析对所建立的线性判别分析模型进行了交叉验证。研究结果表明:4类抛光布对金属铜表面抛光质量的影响具有差异性,该线性判别分析模型能实现抛光布抛光效果差异性的可视化展示,并提供有效区分4类抛光布抛光质量的粗糙度参数;在表征抛光布抛光质量时,采用算术平均高度参数最好,其次是高度均方根。Aiming at the problems about the method for evaluating quality of polished surfacesis limited to one-dimensional roughness parameters and selected not uniform. The linear discriminant analysis,a method in machine learning,was used to investigate effects of polishing cloths. Experiments were carried out on copper with alumina polishing slurry and four types of polishing cloths including velvet,silk velvet,plain velvet,and woolen. Micro-measure was used to measure polished surfaces morphology. Three-dimensional roughness parameters（ e. g.the arithmetic mean height,the standard deviation of the surface height,the skewness,the kurtosis,etc.） were used for clustering and dimensionality reduction analysis. Logistic regression and one-way analysis variance was used to cross-validation verify the accuracy of the model. The results indicate that four types of polishing cloths have different effects on copper surface and the model can provide its difference visualization,the arithmetic mean height is the best parameter to distinguish the polishing quality of the four cloths used,and the standard deviation of the surface heights is second best.

关 键 词：线性判别分析 抛光布 LOGISTIC回归 算术平均高度 

分 类 号：TH16[机械工程—机械制造及自动化] TG356.28[金属学及工艺—金属压力加工]