CAJ | 학술논문

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。
제출기우모호수학원리，채용구궤리득（Euclid）첩근도판별화학정공건가공오차원적방법。가공오차이용모호자집묘술，가공오차원채용어언모호시량묘술，용7개어언치표체가공오차화가공오차원어언모호시량적대속도；구건가공오차원지식고，득도모호어언대속함수적수치표체식，진이득도모호구진；건립가공오차여오차원지간관계적수학모형；계산구궤리득모호첩근도，결합역치원칙화반향추리，실현가공오차원진단。이일계제축적가공위례적실험연구표명，해방법대궤계가공과정중오차원적진단준학、쾌첩。
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 knowledge 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-ple study of a stepped shaft shows that this method is accurate and fast to diagnose machining error sources.