固定铰支承张弦拱单元水平刚度矩阵  

Horizontal stiffness matrix of arch string element supported by fixed hinge

作　　者：程万年 CHENG Wan-nian(Zhejiang Institute of Technology,Hangzhou 310006,China)

机构地区：[1]浙江省计算所

出　　处：《空间结构》2018年第4期30-34,共5页Spatial Structures

摘　　要：讨论两端固定铰支承在下部结构上的张弦拱.撤消右端固定铰支承,使之成为自由滑动铰支,而下部结构对张弦拱的影响化为两端作用的水平力.不考虑下部结构的铅直位移影响,仅考虑水平位移.在小变形假定下,建立了张弦拱结构两端的水平力和水平位移间的关系,即得到了两端固定铰支承张弦拱单元的水平刚度矩阵.它和任何结构的组合就可以利用位移法进行力学分析.最后利用文献算例,使用本文公式计算所得结果和相关文献的理论和试验结果符合很好.This paper discusses the arch string whose both ends are supported by fixed hinges on the lower structure.Removing the right end fixed hinge support,a free sliding hinge is obtained.The influence of the lower structure on the arch string is the horizontal force at the two ends.Vertical displacement of the lower structure is not considered,and only the horizontal displacement is considered.Based on the assumption of small deformation,the relationship between horizontal force and horizontal displacement at both ends of the arch string is established.The horizontal stiffness matrix of a arch string is obtained,with which any structure and the string can be combined into a composite structure.By using the displacement method,further mechanical analysis can be carried out.Finally,a numerical example is provided and the calculation results of the formula discussed in this paper agree well with the theoretical and experimental results in the literature.

关 键 词：张弦拱 固定铰支承 端水平力 端水平位移 单元刚度矩阵 

分 类 号：TU394[建筑科学—结构工程]