基于UL列式的两节点悬链线索元非线性有限元分析

从UL列式的虚功增量方程和索的悬链线方程出发,建立起了一套完整的对索进行精确分析的非线性有限元法。在该方法中,索的自重影响未作任何的近似予以考虑;导出的索单元切线刚度阵是显示表达式;索单元的节点力可以精确计算。本文方法可以方便地应用于大跨度悬索桥、斜拉桥以及张拉结构等的非线性有限元分析计算。

THE NON-LINEAR FINITE ELEMENT ANALYSIS FOR TWO-NODE CATENARY ELEMENT OF CABLE STRUCTURE BASED ON UL FORMULATION

Based on the virtual work increment equation of updated Lagrangian formulation and the catenary equation of cable, that a non-linear Finite Element Method for complete and accurate analysis of cable structure is established. In the method, the self-weight of the cable has not been considered with any approximations, the tangent stiffness matrix of cable element is shown as an expression; the nodal forces of cable element can be accurately calculated. The method, in the paper can conveniently be used for the computation in non-linear Finite Element analysis of long-span suspension bridges, cable-stayed bridges and tensile structures etc. The results of the calculting examples are shown that the method, in the paper, is accurate and efficient .