一种连续索滑移的处理方法

目的是建立一种快速简便的拉索滑移问题的有限元计算方法。采用基于弹性悬链线精确解的两节点悬链线单元模拟索结构中的拉索，利用求解非线性方程组的延拓法，再配以常用的牛顿法，建立了快速的给定索原长情况下的拉索刚度计算方法。此法对于一般的给定初值，能很快逼近真实解，从而扩大了解的收敛范围，更重要的是与牛顿法相比更加高效。进而采用二分法建立了索结构中拉索滑移问题处理的算法，编制了相应的程序段，并通过算例证明了其正确性。本文的拉索滑移处理方法可用于索结构的设计与施工。

One method dealing with cable sliding

The aim of this paper is to develop a fast and easy numeri cal method b y FEM, dealing with the cable-sliding problem in cable structures. Based on the precise analytical solution of elastic catenary, the two-point catenary elemen t was used to model the cables in cable structures. Cooperated with Newton metho d, the Continuation method was used to solve the non-linear equations. By which a fast method was built to get the stiffness matrix of cable under the given unstreched length. This method can quickly approach the answers from the initial value, and extend the boud of initial value. Moreover, it is more efficient tha n Newton method. Based on them, the Dichotomy method was used to solve the cable -sliding, the corresponding program was developed, and the examples confirmed its correctness and efficience.The methods in this paper can be used in the desi gn and construction of cable structures.