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建立了由上层索、下层索、飞柱组成的双层平面索结构,根据节点平衡推导了各索段拉力的计算公式;基于索拉力产生的平衡荷载与索拉力水平分量及索竖向变形之间的关系,推导了平面索在竖向荷载作用下变形计算的有限元列式;通过对平面索结构边界节点施加竖向位移,将上下索边节点移动到建筑要求的位置;当飞柱高度不同时,可通过飞柱的伸长或缩短达到设计要求的飞柱高度,最终实现车辐式张拉结构找形。本文还给出了找形后结构分析和索张拉控制所需的初应变计算公式以及考虑边界梁和柱子在索力下产生弹性变形的处理方法。通过对车辐式张拉结构工程实例进行找形计算,介绍了有限元法的计算过程;对找形后车辐式张拉结构进行了受力分析,将找形时结构荷载施加在找形后的结构上,结构最大竖向位移仅为0.72mm,验证了该找形方法的正确性。
Based on the balance of nodes, the formulas for calculating the pulling force of each cable section are deduced. Based on the equilibrium load and the horizontal component of cable tension and the vertical deformation of cables The finite element formula of deformation calculation of plane cable under vertical load is deduced. By applying vertical displacement to the boundary nodes of plane cable structure, the upper and lower cable edge nodes are moved to the position required by the building. When the height of flying column At the same time, the flying column height can be achieved through the elongation or shortening of the flying column, finally the car-shaped tensioning structure can be found. This paper also gives the calculation formulas of the initial strain needed for the structural analysis and cable tension control after finding the shape, and the treatment method of considering the elastic deformation of the boundary beams and columns under the cable force. Through calculating the form-finding of vehicle-spoke tensioned structure engineering example, the calculation process of finite element method is introduced. After analyzing the force analysis of the vehicle-mounted tensioned structure, the structural load is applied to form-finding After the structure, the maximum vertical displacement of the structure is only 0.72mm, verifying the correctness of the finding method.