中文摘要：

为实现产品原理方案向结构化布局映射,提出产品布局元层次关系网及产品布局多色模型.首先在布局模块及其属性关系网的基础上构建布局元层次关系网;然后应用多色集合的个人颜色、统一颜色,给出产品布局元层次关系网的数学描述,形成产品布局多色模型,并提出推理算法;再利用个人颜色、统一颜色之间的围道布尔矩阵推理原理,进行产品结构布局设计过程中功能—运动分配—布局模块之间映射过程的形式化描述.应用该模型进行结构化布局设计,可有效地支持产品结构布局设计的公理化;最后在Pro/E平台中利用VC.net 2003工具进行二次开发,并以数控机床结构布局设计为例验证了文中模型和设计方法的可行性和有效性.

英文摘要：

This paper presents a novel product layout modeling approach based on a hierarchical product layout element relationship net, and proposes a product layout polychromatic model for solving a mapping problem between product principle schemes and structural layout schemes. The hierarchical product layout element relationship net is constructed by using layout modules and attribute relationship net. Then the product layout polychromatic model and its reasoning algorithm are described with the mathematical representation of the hierarchical product layout element relationship net in polychromatic sets element pigmentation and unified color. Subsequently, the mapping process among product functions, motions and layout modules is formally described utilizing polychromatic sets boolean matrix reasoning rules. This representation supports axiomatic design of product layouts efficiently. Finally, NC machine tools layout design has been used to demonstrate the proposed product layout polychromatic model.