Abstract: As to structural engineers who intend to choose the forms of structures, they must at first explore the geometrical component of systems, and then consider other factors.However, so far the normal analysis methods of geometrical component can not yet analyze all sorts of structures.The mathematical method of geometrical component analysis of member systems is proposed in this paper.This method can analyze the geometrical component of all sorts of structures, especially the complex structures.It clears away the obstacles in use of complex structures in actual engineering and expands the range that limits the development of complex structures.

Key words: member systems, geometrical component, degree of freedom, constraint, mathematical method, simple structure, complex structure

摘要： 结构工程师在选用结构形式时,首先要明确结构的几何组成.而通常的几何组成分析方法还不能分析所有的杆件系统.本文提出了杆件系统几何组成分析的数学方法.这种方法可以彻底地分析任何结构,特别是复杂结构的几何组成.为复杂结构在工程中的应用扫清了几何组成分析方面的障碍,全面拓展了结构形式优化时的选择范围.

关键词: 杆件系统, 几何组成, 自由度, 约束, 数学方法, 简单结构, 复杂结构