中文摘要：

为了分析组合滑动边界下悬浮隧道锚索在均匀流作用时涡激振动的稳定性问题,建立了锚索的涡激振动方程并用伽辽金法对其进行简化,运用Lyapunov指数法判别了锚索涡激振动的稳定性,同时分析了锚索弯曲刚度、跨度、均匀流速和涡激频率对锚索涡激振动稳定性的影响。研究结果表明,随着均匀流速和锚索跨度的增加,锚索逐渐从稳定的状态转变到不稳定的状态;涡激振动下锚索是否会失稳不仅取决于均匀流速的大小,而且还取决于涡激频率和锚索固有频率之间的关系;当涡激频率与锚索一阶固有频率接近时,会发生涡激共振现象,锚索最容易失稳。

英文摘要：

In order to analyze the vibration stability of submerged floating tunnel tether subjected to vortex-induced vibration under combination sliding boundary, the vortex-induced vibration equation of tether is set up. The equation is simplified by Galerkin method. The vortex-induced vibration stability of tether was judged by Lyapunov exponent method. Effects of bending stiffness and span of tether, current velocity and vortex-induced frequency on vibration stability of tether are analyzed. It may be concluded that, tether has been gradually from stable state to unstable state as the current velocity and the span of tether increase; the stability of tether not only depends on the current velocity, but also depends on the relationship between the vortex-induced frequency and the natural frequency of tether; and when vortex-induced frequency is close to the tether, it will occur vortex-induced resonance and the tether is easy to be unstable.