四种不同形式的弹性悬索静力解答

首先回顾了悬索静力分析的研究历史，收集整理了国际上常用的不同坐标系下的两种解答及国内近年来推导的不同坐标系下的两种解答，通过同种坐标下国内、外解答的一致性和不同坐标系下国际上流行的两种解答一致性的证明，表明该四种解答是一致的，建议使用竖坐标轴正方向向上的解答，用国际上的相应解答建立悬索分析的有限元方法，用本文作者推导的解答进行索的设计与计算。

Four sets of static solutions for elastic catenary

The static study history of elastic catenary was reviewed. Two sets of solutions commonly used internationally under different reference frames, and another two sets of solutions derived by domestic researchers under different reference frames were collected. After two sets of solutions under the same reference frame were proved consistent respectively, and two sets of solutions under different reference frames were proved consistent, the homology of the given four elastic catenary static solutions were proved. The solutions under the reference frame with airward erect coordinate axial is recommended to use, the international one can be used to develop the elastic catenary element in structural finite element analysis, the one derived by the auther of this paper can be used to design and analyse the cables in structures.