中文摘要：

对平面投影为四边形的六杆四面体单元组成的新型球面网壳全铰接基本结构体系进行了系统的机动分析.若采用传统的Maxwell准则分析,该网壳的基本结构体系被认为是一个静定结构.而基于平衡矩阵理论进行分析时,可以发现该网壳的基本结构体系是一个静不定、动不定体系.利用平衡矩阵的物理意义和矩阵的初等变换,证明了新型网壳基本结构体系的机构位移模态数与沿圆形平面径向布置的六杆四面体单元数是相等的.在此基础上给出了新型网壳加强结构体系的形成依据,并提出两种适于工程应用的结构体系加强方式.

英文摘要：

A systematical kinematic analysis of the pin-jointed basic structure of a novel spherical lattice shell is carried out in this paper. The shell is composed of six-bar tetrahedral units whose projections are quadrilateral. The basic structure of the shell should be classified into statically determinate structures based on Maxwell＇s rule. However, it is found to be statically and kinematicaily indeterminate using the e- quilibrium matrix theory. The number of mechanisms is proved to be equal to the number of the tetrahedral units distributed in the radial direction of circular plane of the structure, utilizing the physical explanations and elementary transformations of equilibrium matrices. The theoretical foundation for forming a reinforced structure of the shell is given. Two reinforcing ways of the structure, which are suitable for engi- neering applications, are presented on the basis of previous discussions.