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Analytical Calculation Method for the Preliminary Analysis of Self-Anchored Suspension Bridges

机译：自锚式悬索桥初步分析的解析计算方法

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摘要

The stiffening girder of self-anchored suspension bridge (SSB) is subjected to huge axial force because the main cable is directly anchored on the end of the stiffening girder. To obtain a simple model and accurately understand the mechanical behavior of the whole structure in preliminary design, this paper proposed an analytical calculation method considering the combined effects of the main cable-suspender-stiffening girder. On the basis of the deflection theory of the stiffening girder, the relation between the girder shape and the suspender force was explored. The relation between the main cable end force (MCEF) and the suspender force was derived through segmental catenary theory, and iteration method was further improved to avoid the divergence condition. Finally the solution was obtained through satisfying the compatibility condition. The proposed method does not need to iterate manually and can save calculation time. Examples are introduced to verify the applicability of this method, with the result that this method considers the combined effects of the main cable-suspender-stiffening girder, and the finished bridge state satisfies the minimum strain energy of the stiffening girder. Results also indicate that this method has fast convergence speed and high precision.
机译：自锚式悬索桥（SSB）的加劲梁承受巨大的轴向力，因为主缆索直接锚固在加劲梁的末端。为了获得一个简单的模型并在初步设计中准确地了解整个结构的机械性能，本文提出了一种考虑主缆索-悬索-加劲梁的综合作用的解析计算方法。基于加劲梁的挠度理论，探讨了梁的形状与悬索力之间的关系。通过分段悬链理论推导了主电缆末端力（MCEF）与悬吊力之间的关系，并进一步改进了迭代方法，以避免出现发散条件。最终通过满足相容条件获得解决方案。提出的方法不需要手动迭代，可以节省计算时间。通过实例验证了该方法的适用性，结果表明该方法考虑了主缆索－悬架加劲梁的综合作用，最终的桥状态满足了加劲梁的最小应变能。结果还表明该方法收敛速度快，精度高。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第5期|918649.1-918649.12|共12页
  • 作者

    Wang Shaorui; Zhou Zhixiang; Gao Yanmei; Huang Yayi;

  • 作者单位

    Chongqing Jiaotong Univ, Sch Civil Engn Architecture & Construct, Chongqing 400074, Peoples R China.;

    State Key Lab Breeding Base Mt Bridge & Tunnel En, Chongqing 400074, Peoples R China.;

    Chongqing Jiaotong Univ, Sch Civil Engn Architecture & Construct, Chongqing 400074, Peoples R China.;

    Chongqing Jiaotong Univ, Editorial Dept Appl Math & Mech, Chongqing 400074, Peoples R China.;

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