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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。
In order to analyze the stability of vortex-induced vibration of the suspended tunnel anchor under the combined sliding boundary conditions, the vortex-induced vibration equation of the anchor cable is established and simplified by Galerkin method. The Lyapunov exponent method is used to determine the stability of the anchor cable The stability of vortex-induced vibration is also analyzed. At the same time, the influence of flexural rigidity, span, uniform velocity and vortex frequency on the stability of the vortex-induced vibration of the cable is analyzed. The results show that with the increase of uniform flow velocity and cable span, the cable gradually changes from a stable state to an unstable state. Whether the cable will be unstable under vortex-induced vibration depends not only on the uniform flow rate but also on The relationship between the vortex frequency and the natural frequency of the anchor cable. When the vortex frequency is close to the first natural frequency of the cable, vortex-induced resonance occurs, and the anchor cable is most prone to destabilization.