摘 要：给出线性轴向张力下顶端张紧式立管忽略弯曲刚度时的固有频率和模态振型解析解,与Shear7 给出的结果进
行比较。结果表明：在低于20 阶模态数时，两种方法得到的固有频率能很好地符合；在高于20 阶模态数时，随模态数的增
加，两种方法得到的固有频率结果差距也逐渐变大，因此弯曲刚度不能忽略。由悬链线方程将钢悬链线立管等效为顶端张紧
立管，通过研究顶端张紧式立管的涡激振动响应来研究钢悬链线立管的涡激振动响应。研究发现钢悬链线立管的静态位移与
转化之后的等效立管均方根位移组成了类似于锯条的形状。

Abstract: An analytical solution was presented for vertical linearly tensioned riser without flexural rigidity.
Less than 20 modes, natural frequencies and mode shapes of the analytical solution are in agree with those of
Shear7 program. More than 20 modes, the difference of two methods increases with mode number, so flexuralrigidity can’t be neglected. An equivalent vertical straight riser is defined to have approximate parameters of SCR
with catenary equation. VIV response of SCR is obtained through predicting VIV response of the equivalent riser
with Shear7 program. It was found that the shape of SCR’s static displacement combined with that of equivalent
riser’s RMS displacement look like a saw blade.