拉索穹顶结构几何大变形混合有限元静力分析
A MIXED FINITE ELEMENT METHOD FOR LARGE DEFORMATION ANALYSIS OF CABLE DOME STRUCTURES
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摘要: 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。Abstract: A two node cable element is constructed. It combines with straight member element to Study cable dome structures. The sagging effect of cable is taken into account in the two node cable element. With the aid of updated Lagrangian description and virtual displacement principle, the equilibrium equation of cable dome is established. The incremental method of load is combined with Newton-Raphson method to track the solution A program is desired and an example is studied. The results show that the present method is simple, efficient and accurate. It can be applied to nonlinear analysis of cable dome structures.