中文摘要：

为研究水下悬浮隧道锚索在索端参数激励作用下振动的稳定性,建立锚索的参数振动数学方程并用伽辽金法对其进行简化后,采用Lyapunov指数法判断锚索振动的稳定性,分析锚索索端激励幅值、频率和系统阻尼比对锚索振动稳定性的影响。计算结果表明：随着索端激励幅值的增加,不稳定区域逐渐增大,当索端激励频率为锚索固有频率2倍左右时,锚索最易发生失稳,锚索振动系统阻尼比越大,锚索越易趋于稳定状态。

英文摘要：

To study the vibration stability of submerged floating tunnel tether subjected to parametric excitation, the parametric vibration equation of tether was set up. The equation was simplified by Galerkin method. The vibration stability of tether was judged by Lyapunov exponent method. Effects of excitation amplitude of tether end, frequency and damping ratio on vibration stability of tether were also analyzed. The results show that unstable region expands gradually as the excitation amplitude of tether end increases; when excitation frequency of tether end is twice as that of tether, the tether is easy to be unstable; the tether tends to be stable as the damping ratio of tether increases.