张拉整体四棱柱几何作图法找形与找力  

Geometric drawing method for form-finding and force-finding to quadrangular prism of tensegrity

作　　者：尚仁杰[1] SHANG Ren-jie(Central Research Institute of Building and Construction Co.,LTD,MCC Group,Beijing 100088,China)

机构地区：[1]中冶建筑研究总院有限公司,北京100088

出　　处：《空间结构》2021年第1期24-28,共5页Spatial Structures

摘　　要：张拉整体三棱柱和张拉整体四棱柱是最简单的张拉整体结构,也是形成组合式张拉整体结构的基本单元.针对端面平行张拉整体四棱柱,给出了一种几何作图找形方法.张拉整体四棱柱的自平衡内力可在找形过程中通过量测相应线段长度自然得到.通过算例对几何作图法找形和找力过程进行了详细介绍,并对找形后张拉整体四棱柱进行了有限元分析,验证了几何作图法的正确性.几何作图法操作简单,过程可控,可在CAD软件中直观实现找形和找力,为张拉整体结构理论研究与工程应用提供参考.Triangular prism of tensegrity and quadrangular prism of tensegrity are the simplest tensegrity units, and they are the basic units of the combined tensegrity structures. A geometric drawing method is provided to find the form of quadrangular prism of tensegrity when the two end faces are parallel. The self-equilibrium forces of the quadrangular prism of tensegrity can be obtained by measuring the lengths of corresponding line segments along with the form-finding process. The finite element analysis of quadrangular prism of tensegrity is carried out, and the validity of the geometric drawing method is verified. Geometric drawing method for form-finding and force-finding is simple in operating, intuitive and controllable. The method can be achieved in CAD software, and provides reference for theoretical research and engineering application of tensegrity structures.

关 键 词：张拉整体四棱柱 找形 找力 几何作图法 

分 类 号：TU394[建筑科学—结构工程]