悬索桥主缆成桥线形的计算方法

为了准确地计算悬索桥主缆的成桥线形和无应力索长,采用悬链线单元建立了确定悬索桥主缆线形和无应力索长的计算公式;对计算悬索桥主缆线形的非线性方程组采用Newton-Raphson方法求解,并详细地讨论了吊杆力的计算及悬索桥主缆线形和无应力索长的计算过程;最后通过算例验证了该方法的有效性、计算精度和稳定性,并将计算结果与其他文献方法的计算结果进行了比较。分析结果表明：该方法具有计算过程简洁和计算精度高的优点。

Calculation Method for Target Configuration of Main Cable of Suspension Bridge

In order to accurately calculate the target configuration of main cable and the unstressed element length, the analytical solution of an elastic catenary cable element was utilized to establish the computing formulas for finding the target configuration of main cable and the unstressed element length. The presented nonlinear equations were analyzed by Newton-Raphson method. Meanwhile, the calculation of suspender force, the solution for the target configuration of main cable of suspension bridge, and the calculation procedures of unstressed element length were discussed in detail. Finally, the efficiency and the accuracy of the proposed method were demonstrated through an example, and the calculation results were compared with the other literature method results. The analytical results show that the presented methods have the advantages of simple procedure and high accuracy.