基于索滑移模型的空间索膜结构设计分析  

DESIGN OF SPACE CABLE-MEMBRANE STRUCTURE BASE ON AN CABLE SLIDING MODEL

作　　者：张庆港 于潇 李桂旭 谷永振 ZHANG Qinggang;YU Xiao;LI Guixu;GU Yongzhen(Qingdao University of Science and Technology,Shandong Qingdao 266100,China)

机构地区：[1]青岛科技大学,山东青岛266100

出　　处：《低温建筑技术》2023年第8期29-32,36,共5页Low Temperature Architecture Technology

摘　　要：针对空间索膜结构实际应用中会存在索相对薄膜滑移的问题,提出了一种考虑索滑移的索膜组合结构分析模型。利用能量变分原理推导了局部坐标系下空间索单元和膜单元非线性有限元方程,将索和膜单元方程公共项合并得到整体坐标系下索膜组合结构非线性有限元方程。然后将薄膜对索单元节点的拉力分解到垂直于节点相邻两索单元的方向上。根据相邻两索单元张力与摩擦力之间的不等式关系建立了索滑移模型,给出了考虑索滑移的索膜结构非线性有限元方程迭代求解方法。最后将索滑移模型应用到空间索膜结构设计分析中,分析结果表明,索膜间摩擦力的存在会导致索张力不均匀,但在一定程度上可以提高薄膜抵抗外载荷的能力,索膜结构在载荷分析过程中需要考虑摩擦滑移对索膜结构的影响。A cable sliding model of cable-membrane structure analysis is proposed for the cable sliding problem of space cable-membrane structure.Firstly,the nonlinear finite element equations of the cable element and the membrane element in the local coordinate system are derived by using energy variation principles,after which the common terms of the cable and the element equation are combined to obtain the nonlinear finite element equation of the cable-membrane structure in the global coordinate system.Then,the tensile force of the membrane element to the cable element node is decomposed into a direction perpendicular to the adjacent two cable elements of the node.According to the inequality relationship between tension and friction of adjacent two cable elements,the cable sliding model is established,and the iterative solution method of nonlinear finite element equation of cable-membrane structure considering cable sliding is given.Finally,the cable sliding model is applied to the design analysis of the space cable-membrane structure.The results show that the existence of friction between the cable membranes results in uneven cable tension,but it can improve the resistance of the film to external load to a certain extent.The influence of friction slip on the cable membrane structure should be considered in the load analysis process.

关 键 词：索滑移模型 索膜结构 能量变分原理 

分 类 号：TU399[建筑科学—结构工程]