销接式索夹悬索桥成桥线形的高精度计算方法

HIGH-PRECISION CALCULATION METHOD FOR CONFIGURATION OF COMPLETED SUSPENSION BRIDGES WITH PIN-CONNECTED CABLE CLAMPS

  • 摘要: 由于已有方法对索鞍和索夹的影响考虑不够全面,提出一种求解悬索桥目标成桥状态的高精度方法。该方法通过计入索鞍与主缆间的摩擦影响,全面考虑主缆与索鞍的接触问题,根据分段悬链线方程、闭合条件以及索鞍处主缆的力学平衡关系,分别推导得出中、边跨缆索系统的目标函数,采用Nelder-Mead算法求解函数以确定目标成桥状态。该求解过程自适应地计入了销接式索夹的影响,从而得到可靠的吊索钢丝下料长度和主缆无应力长度。以笋溪河大桥作为工程算例,将所提方法的计算结果与该桥设计值进行对比,验证了该文方法的可靠性。

     

    Abstract: Since the consideration on the saddles and clamps is not comprehensive enough in existing methods, a high-precision shape-finding method of the completed suspension bridges is proposed. This method takes the frictional effect and contact conditions between the main cable and saddles into account. According to the segmental catenary equation, the closure condition and the mechanical equilibrium relationship of the main cable at the saddle, the objective functions of mid-span and side-span systems of the main cable and saddles are derived respectively. The target configuration of a suspension bridge can be calculated by solving these objective functions using the Nelder-Mead algorithm, and then the fabrication lengths of hanger steel wires and the unstressed lengths of main cables can be credibly obtained because the influence of pin-connected cable clamps is considered into the shape-finding calculation adaptively. Finally, taking the Sunxi River Bridge as an example, the validity of this method is verified by the comparison between the calculation results and corresponding design ones of this bridge.

     

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