中文摘要：

现有的公理设计是建立在满足独立公理的基础上的，它没有提供分析和处理耦合设计的方法。然而在产品设计尤其是复杂产品设计过程中，耦合设计经常会不可避免地出现。针对公理设计过程中出现的耦合设计问题，提出了一种结构化的耦合设计分析方法，旨在为在功能要求不独立的情况下完成产品设计提供有效解决方案。首先利用分解操作识别独立的功能要求以及耦合功能集；然后采用决策分析方法中的两两比较方法并基于三角模糊数对功能耦合程度进行度量；在此基础上通过解耦和割裂操作对耦合功能进行规划，确定各耦合功能的实现顺序；最后对耦合设计方案进行耦合性分析，计算耦合度指标，为耦合设计方案的耦合性评价及其选择提供依据。结合卧式壳管式冷凝器产品的设计实例，对耦合设计分析方法进行了说明和验证。

英文摘要：

Satisfying the independence axiom is the basis of axiomatic design （AD） in which coupled design is considered unacceptable. However, product design usually involves coupled design, especially for the design of complex products. To deal with coupled design that appears in design with AD, a structural analytical approach is presented with the intension to achieve product design when functional requirements are independent. First, independent functional requirements and coupled function sets are identified using the partition operation. Then pair wise comparison technique in decision analysis based on triangular fuzzy number is applied to measure the strength of the coupled functions. Next, coupled function planning is carded out to find the processing sequence of the coupled functions by means of the decoupling and the tearing operation. Finally, coupling analysis is conducted to calculate the coupling degree of the coupled design to provide criterion for the evaluation and the selection of the coupled design scheme. The effectiveness of the proposed approach is demonstrated by an illustrative example showing the design of a condenser.