悬链线构件的有限元方法

Analysis and experimetal verification of the catenary component with the finite element method

悬链线构件在船舶与海洋工程中是广泛存在的一种结构,无论是船舶码头旁靠、锚泊定位中的系泊线,还是各种系泊结构物中各种深海悬链线结构(如深海柔性立管、深海锚泊系统、复合材料悬链线立管等)的系泊力响应,对整个结构物都显得非常重要。其中,由于悬链线构件具有很强的几何非线性,其受力分析的精度对其运动响应的分析尤为重要。根据悬链线构件静力分析,得到悬链线单元的柔度矩阵,从而进一步推导出悬链线单元的刚度矩阵和单元节点力向量,最后以商业有限元软件ABAQUS的用户自定义单元(UEL)为工具,开发出悬链线单元。结果显示:运用此单元得到的简单悬链线结构的数值解与解析解完全一致,同时也基本符合实验结果,为解决各种复杂悬链线构件问题的直接计算法提供了一种新的思路。

The catenary component is widely applied on ships and ocean engineering structures. Wbetber it is for the mooring line of dockside ships, the anchor moored positioning, or various mooring structures with different deep-sea catenary structures （such as deep-sea flexible risers, deepwater mooring systems. deep-sea steel catenary risers, etc.）, as well as tbe mooring force response of the entire structure are of partitular significance. To be more specific, the catenary component in the mooring system is obviously a non- linear structure geometrically, while the accuracy of the stress analysis of the catenary is particularly important. The stiffness matrix and node force vector of the catenary element can be gained based on the flexibility matrix obtained from static analytical solutions of the catenary. Finally, the catenary element is established by using the UEL （User Defined Element） from commercial finite element software ABAQUS. The result is seen to be fully consistent with the analytical solution and the experimental results. In brief, it induces creativity to the direct calculation method of solving various complex catenary component problems.