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该文考虑深水系缆的拉伸和弯曲变形,取正交坐标和切向量描述任意结点的6个广义位移,考虑缆变形的几何非线性和水动力影响,基于细长杆理论推导缆索的单元刚度矩阵,得到12×12的非线性刚度矩阵,实现了该文单元与有限元软件的调用对接。针对水深318m的Spar平台,四根缆定位,计算了系泊系统固有频率和模态以及系泊缆群的张力响应。计算结果表明:该文单元刚度矩阵能够反映深海系泊缆的动力响应特性。
In this paper, six generalized displacements of arbitrary nodes are described by orthogonal coordinates and tangent vectors considering the tensile and bending deformation of deepwater cables. Considering the geometrical nonlinearity and hydrodynamic influence of cable deformation, the cable is derived based on slender rod theory Element stiffness matrix, a 12 × 12 non-linear stiffness matrix is obtained, and the call between the element and finite element software is realized. For the Spar platform with a depth of 318m and four cables, the natural frequencies and modalities of the mooring system and the tension responses of the mooring lines are calculated. The calculation results show that the element stiffness matrix of this unit can reflect the dynamic response of deep mooring lines.