1673-159X

CN 51-1686/N

斜拉桥拉索无应力索长的牛顿迭代解法

The Formulas for Solving the Cable-free Cable Length Based on Newton-raphson

  • 摘要: 基于斜拉索悬链线理论,提出斜拉桥拉索无应力索长的计算方法。建立已知端张力状态下的拉索特征参数约束方程,并给出该方法求解拉索无应力索长的迭代公式。利用该方法计算丰都长江二桥斜拉索无应力索长,并与Ernst等效模量法、Levenberg-Marquardt迭代解法的结果进行对比分析,证明了该方法的可靠性与有效性。

     

    Abstract: Based on the catenary theory of stayed cables, a method for calculating the cable length of cable-stayed bridge without stress is proposed. The constraint equations of the cable's characteristic parameters under the known terminal tension state are established, and the formulas for solving the cable-free cable length are given. By using this method, the cable-free cable length of Fengdu Changjiang No.2 Bridge was calculated, and the results were compared with the results of Ernst equivalent modulus method and Levenberg-Marquardt iterative solution. A comparative analysis proves the reliability and effectiveness of the method.

     

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