基于多色集合理论的机械产品概念设计方法研究

A New Approach to Conceptual Design of Mechanical Products Using Polychromatic Sets

介绍了多色集合理论 ,指出了多色集合为计算机辅助概念设计、信息建模技术及其相关的推理技术提供了强有力的工具 ,使机械产品概念设计这一难以形式化的设计过程有了建模的可能 .给出了基于多色集合理论和功能方法树的机械产品概念设计的知识表达 .建立了贴近度函数 ,给出一个关于方案功能相对需求功能冗余程度的数学模型 ,通过给定冗余允许值排除不合理方案 .提出了基于多色集合理论的机械产品概念设计的设计步骤和实现流程图 ,为其它机械产品的概念设计提供帮助 .

The paper summarizes the polychromatic sets theory and its application as a powerful tool for the modeling of computer aided conceptual design and the related reasoning process. The polychromatic sets theory makes it possible to establish the conceptual model of mechanical products layout which is difficult to be formalized. The knowledge expression based on polychromatic set theory and function method tree is illustrated. A closeness function is established to build the mathematical model for evaluating the relative redundancy of solutions and eliminating illogical ones. A detailed design process in the form of flow chart is presented. In order to be clear, an example of machining tool design is provided.