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The Basic Differential Equations of Self-Anchored Cable-Stayed Suspension Bridge

机译：自锚式斜拉桥的基本微分方程

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摘要

The static behavior of self-anchored cable-stayed suspension bridge under vertical load is described with the continuum method. Based on the partition generalized variation principle, considering the compression-bending coupling effect of the main girder and the tower, the large displacement incomplete generalized potential energy functional of three-span self-anchored cable-stayed suspension bridge is established. Then, the basic differential equations of self-anchored cable-stayed suspension bridge are derived through constraint variation. Taking a self-anchored cable-stayed suspension bridge with main span 100 m, for example, the results by the proposed analytic method agree with that of numerical analysis. Therefore, the basic differential equations proposed in this paper could be applied to the preliminary analysis of self-anchored cable-stayed suspension bridge. The equations also provide a theoretical basis to describe the static behavior of this type of bridge.
机译：用连续介质法描述了自锚式斜拉悬索桥在垂直荷载下的静态行为。基于分区广义变分原理，考虑主梁与塔的压弯耦合效应，建立了三跨自锚式斜拉桥大位移不完全广义势能函数。然后，通过约束变化推导了自锚式斜拉悬索桥的基本微分方程。以主跨为100 m的自锚式斜拉悬索桥为例，所提出的解析方法与数值分析结果吻合。因此，本文提出的基本微分方程可用于自锚式斜拉桥的初步分析。这些方程式还提供了理论基础来描述这种类型的桥梁的静态行为。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第3期|p.469-480|共12页
  • 作者

    Wang Hui-Li; Qin Si-Feng; Zhang Zhe; Huang Cai-Liang; Xu Wen-Jun;

  • 作者单位

    Bridge Engineering Research Institute, Dalian University of Technology, Dalian 116085, China;

    Research Center for Numerical Tests on Material Failure, Dalian University, Dalian 116622, China;

    Bridge Engineering Research Institute, Dalian University of Technology, Dalian 116085, China;

    Bridge Engineering Research Institute, Dalian University of Technology, Dalian 116085, China;

    Bridge Engineering Research Institute, Dalian University of Technology, Dalian 116085, China;

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