车辆移动荷载作用下悬浮隧道锚索-管体三维非线性耦合振动研究

RESEARCH ON THREE-DIMENSIONAL NONLINEAR VIBRATION OF CABLE-TUBE COUPLED SYSTEM OF SUBMERGED FLOATING TUNNEL UNDER MOVING VEHICLE LOAD

  • 摘要: 为了分析移动车辆荷载下悬浮隧道的动力响应,该文建立了悬浮隧道锚索-管体三维非线性耦合系统的动力学模型。利用Hamilton原理分别推导非线性锚索和管体的三维运动方程,考虑锚索和管体的空间位移协调关系,结合Galerkin方法进行多模态截断,得到广义坐标下锚索-管体三维非线性耦合运动方程。将车辆简化为等间距匀速移动集中荷载,并考虑了偏心荷载引起的管体横向位移与扭转,采用四阶龙格库塔方法进行数值求解,分析了车辆移动荷载下悬浮隧道的非线性动力学行为,以及控制系统结构设计参数对悬浮隧道结构动力响应的影响。研究结果表明,与单模态相比,采用多模态计算才能得到准确的数值模拟结果。通过调节荷载偏心距、管体浮重比、车辆自重与速度等结构设计参数,会改变系统的结构动力响应,为悬浮隧道的结构设计提供依据。

     

    Abstract: A dynamic model of a three-dimensional nonlinear cable-tube coupled system of submerged floating tunnel is establisheed to analyze the dynamic response of the submerged floating tunnel under moving vehicle loads. Using Hamilton's principle, the three-dimensional motion equations of nonlinear anchor cables and tube are derived. Taking into account the spatial displacement coordination relationship between the cables and the tube, the Galerkin method is used for multimodal truncation to obtain the three-dimensional nonlinear coupled motion equation of cable-tube system in generalized coordinates. The vehicle is simplified as a uniformly moving concentrated load with equal space, and the lateral displacement and torsion of the tube caused by eccentric loads are considered. The fourth order Runge Kutta method is used for numerical solution to analyze the nonlinear dynamic behavior of the suspended tunnel under vehicle moving loads, as well as the influence of control system structural design parameters on the dynamic response of the submerged floating tunnel. The research results indicate that accurate numerical simulation can be obtained using multimodal calculations, compared with single mode calculations. By adjusting structural design parameters such as load eccentricity, buoyancy-weight ratio of tube, weight and speed of vehicle, the structural dynamic response of the system can be changed. The research can provide a basis for the structural design of submerged floating tunnel.

     

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