根据锚索式悬浮隧道的运动特性，假设锚索是两端铰接的非线性梁模型，并将管体运动简化为两自由度的质点运动，将其视作一种参数激励。考虑锚索长期处于海流环境下，其顺流向涡激力和管体横荡运动方向一致，锚索的运动响应可能会产生明显变化。建立锚索的非线性顺流向涡激振动方程，并通过Galerkin方法和Runge-Kutta方法对该方程进行求解，选取典型悬浮隧道的结构进行数值分析，结果表明：在锚索前三阶模态中，相比于一阶模态幅值，二阶和三阶模态幅值是一个很小的量，可以忽略不计；参数激励可以使锚索更快进入稳定状态，且对振动幅值的增加有显著影响；参数激励对顺流向涡激振动的影响程度与锚索顶端的端部激励幅值和频率有关。

According to the motion characteristics of the submerged floating tunnel, the cable is assumed to be a non-linear beam model hinged at both ends, and the motion of the tube body is simplified to a mass point motion with two degrees of freedom. Considering that the cable is under the sea current environment for a long period of time, its forward vortex excitation force is in the same direction as the sway motion of the tube, and the motion response of the cable may change significantly. Therefore, it is necessary to establish the non-linear equation of the cable with forward vortex induced vibrations and solve this equation by Galerkin method and Runge-Kutta method. The structure of a typical suspension tunnel was selected for numerical analysis. The results show as follows. In the first three orders of the cable mode, the second and third order mode amplitude is much smaller than the first order mode amplitude, which can be neglected. The effect of parametric excitation on the cable can enable the cable to get into the stability more quickly and the increase in displacement amplitude has a significant effect. The influence of the parametric excitation on the vortex induced vibration in the forward direction is related to the amplitude and frequency of the excitation at the top of the cable.