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本文推导了张拉整体结构的找形分析公式,提出了得到平衡的预应力几何形状的计算方法,建立了结点的有限元基本方程和单元的刚度矩阵,既适于初始平衡态的结构,也适于初始非平衡态的结构。本方法有较高的数值精度,可作为设计张拉整体结构的基础理论和方法。
In this paper, the form-finding analysis formulae of the tensioned monolithic structure are deduced, and the calculation method of the balanced prestressed geometry is proposed. The basic finite element equations of the nodes and the stiffness matrix of the element are established, which are suitable for the structure of the initial equilibrium state. Suitable for initial non-equilibrium structures. This method has high numerical accuracy and can be used as the basic theory and method for designing the tensioned integral structure.