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本文介绍了由悬链线基本关系构造的悬链线索元刚度矩阵的迭代方法，对于索中张力己知原长未知的情况给出了确定悬索原长的线性搜索算法。文中建立了悬索绕平衡位置振动的动力学方程并通过香港青马大桥主索的分析计算与相应测试结果对比对本文方法作了验证。该方法优于现有的抛物线类索元方法，在悬索结构分析中具有一定的实用价值。
In this paper, an iterative method of the catenary element stiffness matrix constructed by the basic relationship of the catenary is introduced. The linear search algorithm for determining the original length of the catenary is given for the case where the original length of tension in the cable is unknown. In this paper, the dynamic equation of the suspension around the equilibrium position vibration is established, and the method is validated by comparing the analysis and calculation of the main cable of the Tsing Ma Bridge in Hong Kong with the corresponding test results. The method is superior to the existing parabolic cable element method and has certain practical value in the analysis of the cable structure.