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本文应用有限元法,结合拉索穹顶结构特征,采用可以直接考虑索元垂度影响的两节点索单元与两节点直杆单元相结合的有限元模型,基于修正的拉格朗日描述方法和虚功原理建立了拉索穹顶结构几何大变形分析的混合有限元静力平衡方程,并利用荷载增量法与Newton-Raphson法相结合的混合增量求解技术编制了计算程序,进行了实例计算。结果表明:本文方法简便、实用、精度高,能充分反应拉索穹顶结构的特点,可供设计参考和采用。
In this paper, the finite element method is used in combination with the structural characteristics of the cable dome. The finite element model combining the two-node cable element and the two-node linear element that can directly consider the influence of cable element sag is used. Based on modified Lagrange method and The virtual finite element method is used to establish the mixed finite element static equilibrium equation of the large deformation analysis of the cable dome structure. The calculation program is compiled by using the hybrid incremental solution method combining load increment method and Newton-Raphson method. The results show that this method is simple, practical and accurate. It can fully reflect the characteristics of the cable dome structure, which can be used for design reference and adoption.