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本文针对柔性悬索结构几何非线性分析的特点,提出了一种用欧拉描述来表示的两节点索单元非线性有限元模型,在索元变形后的位置上由虚功原理建立了非线性有限元基本方程及切线刚度矩阵。这样建立的非线性有限元分析方法可充分考虑拉索的几何非线性特性的影响并给悬索结构的初始平衡分析带来方便。算例结果表明,本文方法是精确有效的。
In this paper, a nonlinear finite element model of two-node cable element represented by Euler’s description is proposed for the characteristics of geometric nonlinear analysis of flexible suspension cables. The nonlinearity of the cable element after deformation is established by the principle of virtual work. Finite element basic equations and tangent stiffness matrix. The nonlinear finite element analysis method established in this way can fully consider the influence of the geometric nonlinearity of the cable and facilitate the initial equilibrium analysis of the cable structure. The results of the example show that this method is accurate and effective.