基于公理设计与模糊树图的集成式模块划分方法  

Integrated Module Division Method Based on Axiomatic Design and Fuzzy Dendrogram

作　　者：王日君[1] 张进生[1] 葛培琪[1] 王志[1] 

机构地区：[1]山东大学机械工程学院,济南250061

出　　处：《农业机械学报》2009年第4期179-183,共5页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(50475132);山东省自然科学基金资助项目(Z2007F07);山东省科技发展计划项目(2007GG10004008)

摘　　要：提出了一种公理设计和模糊树图相结合的集成式模块划分方法。首先采用公理设计的功能域-物理域的映射变换框架进行产品的逐级分解,在分解得到的设计矩阵均为对角阵的情况下,分解得到的子结构满足了功能和结构的独立性,可单独作为一个模块,完成模块划分。若得到的设计矩阵为三角阵或者满矩阵,则对分解得到的子结构进行功能和结构相关度的分析,采用模糊树图聚类法将子结构聚类为模块。通过实例验证了该方法的有效性和合理性。An integrated module division method based on the combination of axiomatic design and fuzzy dendrogram was proposed. The product was divided step by step using the framework of zigzagging map between the functional domain and physical domain of axiomatic design. In the case that the design matrix are diagonal matrices, the substructures of the division meet the functional and structural independence and can be considered as a separate module, then the division of module can be ended. When the design matrix are triangle matrices or fall rank matrices, the correlation of function and structure between the substructures were analyzed and then fuzzy dendrogram was used to cluster the substructures into modules. An example was used to illustrate the validity and rationality of the proposed approach.

关 键 词：产品设计 模块划分 公理设计 模糊树图 聚类算法 

分 类 号：TH16[机械工程—机械制造及自动化]