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| 悬索桥空间缆索实用找形方法 |
| A PRACTICAL METHOD FOR SHAPE FINDING OF SPATIAL CABLE CURVES OF SUSPENSION BRIDGES |
| 投稿时间：2020-08-12 修订日期：2020-09-09 |
| DOI： |
| 中文关键词: 悬索桥 空间缆索 找形 有限元法 迭代计算 |
| 英文关键词:Suspension bridge Spatial cable shape-finding finite element method Iteration calculation |
| 基金项目:大跨度轻窄悬索管道桥雷诺数效应及管道覆冰气动性能研究 |
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| 中文摘要: |
| 针对现存分段悬链线法和有限元法在悬索桥空间缆索找形方面存在对初值敏感、容易发散等问题，本文提出了一种实用方法。该方法基于空间缆索纯索体系的有限元模型，以缆索节点坐标和单元内力为未知参数，通过小弹性模量法确定迭代初值，采用内循环参数更新外循环坐标修正的嵌套循环迭代计算空间缆索线形。三个算例分析结果表明，本文方法计算精度与分段悬链线法一致，且迭代次数更少、收敛性更好、计算效率更高，还适用于纵桥向斜吊杆空间缆索的线形的计算。 |
| 英文摘要: |
| A practical method is proposed to overcome the limitations (such as sensitivity to initial values and easy divergence) of the existing methods (i.e., segmental catenary method and finite element method) for the shape-finding of suspension bridges with spatial cables. This method is based on the finite element model of 3-dimensional cable-hanger system and takes the coordinate of cable nodes and the internal force of elements as unknown parameters. The initial iterative values are determined by the low elasticity modulus method and the spatial cable shape is calculated by nested loop which update parameters in the inner cycle and erect coordinates in the outer cycle. Three numerical examples verify that the accuracy of this method is consistent with the segmental catenary method, with fewer iterations, more stable convergence, and higher efficiency, and it can also be used to analyze the spatial cables with longitudinally inclined hangers. |
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