在变形能原理和能量守恒的基础上,推导出了柔性立管各层的刚度矩阵。将各层刚度矩阵进行叠加,得到柔性立管总体刚度矩阵,并用总体刚度矩阵求解静载荷作用下立管变形响应。同时基于ABAQUS软件建立八层非粘结柔性立管有限元模型,并将有限元计算结果和刚度矩阵计算结果进行比较。分析结果表明:运用推导得到的刚度矩阵求解静态载荷下立管的变形是一种简便且准确的方法。 Based on the principle of deformation energy and the conservation of energy, the stiffness matrix of each layer of flexible riser is deduced. The stiffness matrices of each layer are superposed to obtain the global stiffness matrix of the flexible riser and the total stiffness matrix is ​​used to solve the deformation response of the riser under the static load. At the same time, an eight-layer non-bonded flexible riser finite element model was established based on ABAQUS software, and the finite element calculation results and stiffness matrix calculation results were compared. The analysis results show that it is a simple and accurate method to solve the deformation of riser under static load by using the deduced stiffness matrix.