[1]贺拴海,陈英昊,李源.考虑摩阻力影响的悬索桥索鞍精确算法[J].长安大学学报(自然科学版),2019,39(02):57-64.
　HE Shuan hai,CHEN Ying hao,LI Yuan.Exact algorithm for cable saddle of suspension bridgeinfluences by frictional resistance[J].Journal of Chang’an University (Natural Science Edition),2019,39(02):57-64.
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考虑摩阻力影响的悬索桥索鞍精确算法()
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长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
第39卷
期数:
2019年02期
页码:
57-64
栏目:
桥梁与隧道工程
出版日期:
2019-03-31

文章信息/Info

Title:
Exact algorithm for cable saddle of suspension bridgeinfluences by frictional resistance
作者:
贺拴海; 陈英昊; 李源
(1. 长安大学 旧桥检测与加固技术交通行业重点实验室，陕西 西安 710064；2. 交通运输部公路科学研究院，北京 100088)
Author(s):
HE Shuanhai1;  CHEN Yinghao2;  LI Yuan1
（1. Key Laboratory of Old Bridge Detection Reinforcement Technology Ministry of Transport, Changan University,Xian 710064, Shaanxi, China; 2. Research Institute of Highway, Ministry of Transport, Beijing 100088, China）
关键词:
桥梁工程; 悬索桥; 解析算法; 索鞍位置; 预偏量; 摩阻力
Keywords:
bridge engineering;  suspension bridge;  analytical algorithm;  cable saddle position;  predeviation;  frictional resistance
文献标志码:
A
摘要:
为了在悬索桥分析计算中精确模拟索鞍位置，给悬索桥的设计、施工和监控等提供参考，提出了一种索鞍位置的解析算法。该算法考虑了主缆与索鞍间摩阻力对索鞍位置的影响，根据欧拉公式，推导了摩阻系数的计算公式，通过建立索鞍数学模型和胡克定律，提出了主缆与索鞍间索鞍摩阻力计算方法。从力学和几何关系出发，建立基于弹性悬链线和静力平衡方程的索鞍计算模型，推导了基于初始索鞍位置坐标与平衡状态索鞍位置坐标间偏差的计算公式，引入雅克比矩阵，通过牛顿迭代法求解，使得偏差小于某一允许限值，即可认为索鞍单元位于平衡位置，同时推导了索鞍单元的切向刚度矩阵。结合解析算法，引入温度伸缩杆的概念，给出了一种适用于有限元分析与数值算法相结合的索鞍模拟方法，可用于精确模拟悬索桥索鞍在施工过程中的顶推，提高主缆在施工过程中线形的计算精度，将算法通过MATLAB程序进行迭代计算。最后，通过2组算例对比验证了该算法的可靠性，并通过改变摩阻力的取值，分析了摩阻力对索鞍位置的影响趋势。研究结果表明：提出的解析算法可精确模拟索鞍位置，公式收敛性好；摩阻力对索鞍位置的影响较小，简化计算中可以忽略，但在精确分析尤其是大跨、多跨悬索桥受力分析时，应予以考虑。
Abstract:
To simulate the position of cable saddle in suspension bridge analysis and calculation precisely, and provide references for the design, construction, and monitoring of suspension bridges, an analytical algorithm were proposed. The influence of frictional resistance between the main cable and cable saddle on the cable saddle position was considered in the algorithm. The calculation formula of the friction coefficient was derived using Eulers formula. The mathematical model and Hookes law of the saddle was established, and the calculation method of the friction between the main cable and saddle was determined. The cable saddle calculation model was determined on the basis of elastic catenary and static equilibrium equation, considering the relation between mechanics and geometry. The calculation formula was derived based on the deviation between the coordinates of the original cable saddle position and the position of cable saddle in balanced state. Jacobian Matrix was introduced to cyclically solve this problem through Newtons method， cyclic iteration significantly decreases the deviation value considering the prescribed limit， and the cable saddle elements were assumed to achieve balanced position. At the same time, the tangent stiffness matrix was deduced. A cable saddle simulation method which applicable to finite elements was proposed，and the concept of temperature retractable pole was used in simulating the cable saddle of suspension bridge during construction, combined with the analytical algorithm and numerical algorithm. The calculating accuracy of alignment of the main cable during construction was improved，and iterative computation of the MATLAB program was used. The reliability of the algorithm was validated， by comparing two examples， and the trend of the influence of frictional resistance in cable saddle position was demonstrated, by changing the value of frictional resistance. The results show that the proposed analytical algorithm can exactly simulate the cable saddle position， and has good convergence. The influence of frictional resistance on cable saddle position is negligible. Thus, it may be ignored in a simplified calculation. However, especially in force analysis for the long span and multispan suspension bridges, the influence should be taken into account. 2 tabs, 7 figs, 27 refs.

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更新日期/Last Update: 2019-04-01