中文摘要：

针对生长型设计过程对功能表面分解粒度控制的需求，应用功能模式的几何特性表达了产品的几何结构信息，并以其为载体集成了产品制造过程信息，建立了基于功能表面的产品制造信息模型。利用信息熵理论对该模型信息进行了量化，将概念产品制造信息熵的最小值作为功能表面分解粒度的控制指标，来决定是否终止概念产品生长，并通过具体产品的设计验证了该模型的正确性。

英文摘要：

Aiming at the demands to control the decomposing granularity of function surface in the process of the growth design,function mode was used to express the product geometric structure in- formation based on its geometric property, which was also used as the carrier to integrate product manufacturing process information. So the manufacturing information model was built based on func- tion surface. The theory of information entropy was introduced to quantify the model information. The minimum value of conceptual product manufacturing information entropy was used as the control tar- get of function surfaces decomposing granularity to determine whether to stop the growth of conceptu- al product or not. The correctness of the theory was verified through the specific product design exper- iments.