摘要
提出基于模糊数学原理,采用欧几里得(Euclid)贴近度判别和确定工件加工误差源的方法.加工误差利用模糊子集描述,加工误差源采用语言模糊矢量描述,用7个语言值表达加工误差和加工误差源语言模糊矢量的隶属度;构建加工误差源知识库,得到模糊语言隶属函数的数值表达式,进而得到模糊矩阵;建立加工误差与误差源之间关系的数学模型;计算欧几里得模糊贴近度,结合阈值原则和反向推理,实现加工误差源诊断.以一阶梯轴的加工为例的实验研究表明,该方法对机械加工过程中误差源的诊断准确、快捷.
Based on fuzzy mathematics principle, the method using the Euclidean closeness is put forward to discriminate and determine the machining error sources. The machining errors is described with fuzzy subset and machining error sources are described by language fuzzy vector, and the membership of machining errors and machining errors sources lan- guage fuzzy vector is expressed with seven language value. The knoMedge base of machining error sources is constructed, attaining the numeric expression of fuzzy language membership functions, and then fuzzy matrix is obtained. Mathemati- cal model of the relation between machining errors and error sources is established. Then Euclidean fuzzy closeness is cal- culated to realize the machining error sources diagnosis, combining threshold principle and backward reasoning. An exam- pie study of a stepped shaft shows that this method is accurate and fast to diagnose machining error sources.
出处
《华侨大学学报（自然科学版）》
CAS
北大核心
2014年第4期367-372,共6页
Journal of Huaqiao University(Natural Science)
基金
教育部博士点科研基金资助项目(20103501110001)
福建省科技计划重点项目(2012H0034)
黑龙江省自然科学基金资助项目(41408721-4-12006/E0511)
关键词
欧几里得贴近度
模糊数学
误差源
误差建模
模糊诊断
euclidean closeness
fuzzy mathematics
error sources
error modeling
fuzzy diagnosis
