Journal of South China University of Technology(Natural Science) >

2022 , Vol. 50 >Issue 7: 43 - 55

DOI: https://doi.org/10.12141/j.issn.1000-565X.210730

Architecture & Civil Engineering

High-Accuracy and Non-iteration Methods for Control Tension of Parallel-Strand Stay Cables

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  • 1.School of Civil Engineering and Transportation，South China University of Technology，Guangzhou 510640，Guangdong，China
    2.The 5th Engineering Co. ，Ltd. ，MBEC，Jiujiang 332001，Jiangxi，China
    3.State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures，Shijiazhuang Tiedao University，Shijiazhuang 050043，Hebei，China
    4.Innovation Center for Wind Engineering and Wind Energy Technology of Hebei Province，Shijiazhuang 050043，Hebei，China
余贤宾（1993-），男，博士生，主要从事大跨度桥梁结构理论研究。E-mail：ctxbyu@mail.scut.edu.cn

Received date: 2021-11-18

  Online published: 2022-01-11

Supported by

the National Natural Science Foundation of China(52178138);the Natural Science Foundation of Hebei Province(E2019210311)

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Abstract

In order to obtain the high-accuracy solution for control tension of each strand of stay-cables during construction, this paper studied the nonlinear relationships among the parameters describing the static state of cables and proposed a high-accuracy and non-iteration solving method for control tension of each steel strand. Based on the exact solution of the catenary of the cable shape, the high-precision and approximate solution of the stress-free length of the cable was solved by the Taylor expansion method. Based on the two basic principles of forward assembly analysis and equivalent tensioning method, the equivalent static state of steel strands during the construction process was obtained by recursive calculation when different steel strands were tensioned. The high-precision solution for the control tension of each steel strand was solved by approximating the unstressed cable length, the equivalent cross-sectional area and the projected length of the diagonal cable.Taking the stay-cables of the main bridge of the Honghe Bridge (a composite girder cable-stayed bridge with a main span of 500 meters) in Zhuhai city, the Jitimen Bridge (a prestressed concrete cable-stayed bridge with a main span of 210 meters) in Zhuhai city and cables mentioned in two literatures as examples, the error between the approximate solution of the method in this study and the exact solution of the catenary of iterative solution was calculated. The results show that the calculated error of the stress-free cable length between the method proposed in this paper and the catenary solution is less than 0.002%, and the tension error of each strand is less than 2%, which fully meet the accuracy requirements of construction. The method presented in this paper has the advantages of high precision and low calculation cost, so it has a high value of popularization and application.

Key words： parallel-strand; stay cable; control tension; catenary

Cite this article

YU Xianbin, WANG Ronghui, CHEN Shanting, et al . High-Accuracy and Non-iteration Methods for Control Tension of Parallel-Strand Stay Cables[J]. Journal of South China University of Technology(Natural Science), 2022 , 50(7) : 43 -55 . DOI: 10.12141/j.issn.1000-565X.210730

References

1 祖祥胜，刘征宇，柏国清 ．钢绞线拉索与钢丝拉索体系的比较［J］．安徽建筑，2010，17（3）：26-28，41．
1 ZU Xiang-sheng， LIU Zheng-yu， Bai Guo-qing ．Comparison of steel strand cable and steel wire cable system［J］．Anhui Architecture，2010，17（3）：26-28，41．
2 杨吉新，喻桥，石旷，等 ．平行钢绞线和平行钢丝斜拉索对比分析［J］．工程与建设，2019，33（1）：38-40．
2 YANG Ji-xin， YU Qiao， SHI Kuang，et al ．Comparison and analysis of parallel steel strand and parallel steel wire cable［J］．Engineering and Construction，2019，33（1）：38-40．
3 威胜利工程有限公司（中国VSL） ．VSL钢绞线斜拉索体系索力控制技术［C］∥2002年全国桥梁学术会议论文集．北京：人民交通出版社，2002：970-981．
4 董春光 ．大跨度钢桁斜拉桥施工控制关键技术研究［D］．广州：华南理工大学，2014．
5 张育智，李乔，唐亮 ．宜宾中坝金沙江大桥索力控制研究［J］．铁道标准设计，2005（8）：27-30．
5 ZHANG Yu-zhi， LI Qiao， TANG Liang ．Research of cable force control of Zhongba Jinsha river bridge in Yibin［J］．Railway Standard Design，2005（8）：27-30．
6 闫维明，张志，陈彦江，等 ．大跨度斜拉桥施工过程中的索力控制方法［J］．土木建筑与环境工程，2010，32（5）：130-134．
6 YAN Wei-ming， ZHANG Zhi， CHEN Yan-jiang，et al ．Method of cable tension controlling in the long-span cable-stayed bridge construction［J］．Journal of Civil，Architectural & Environmental Engineering，2010，32（5）：130-134．
7 冷雪浩，林乐强，黄伟东 ．平行钢绞线斜拉索单根钢绞线张拉过程中的索力控制［J］．北方交通，2008（1）：83-84．
7 LENG Xue-hao， LIN Le-qing， HUANG Wei-dong ．Control of cable force in the process of stretching the single strand of parallel strand stayed-cable［J］．Northern Communications，2008（1）：83-84．
8 邹力，彭旭民，位东升 ．平行钢绞线斜拉索等值张拉力精确计算方法［J］．重庆交通大学学报（自然科学版），2015，34（2）：7-9，44．
8 ZOU Li， PENG Xu-min， WEI Dong-sheng ．Accurate calculation method of equal tensile force of parallel strand stayed-cable［J］．Journal of Chongqing Jiaotong University （Natural Science），2015，34（2）：7-9，44．
9 周正茂，龚振球，王素娟 ．倒退分析法确定拉索中钢绞线的张拉力［J］．公路交通科技，2009，26（4）：73-77．
9 ZHOU Zheng-mao， GONG Zhen-qiu， WANG Su-juan ．Tension control for strands in cables based on reverse analysis［J］．Journal of Highway and Transportation Research and Development，2009，26（4）：73-77．
10 庄冬利，许骏，肖汝诚 ．分阶段单根张拉的平行钢绞线斜拉索张拉力简化计算方法的研究［C］∥第二十一届全国桥梁学术会议论文集（上册）．北京：人民交通出版社，2014：422-428．
11 苑仁安，秦顺全 ．无应力状态法在钢绞线斜拉索施工中的应用［J］．桥梁建设，2012，42（3）：75-79．
11 YUAN Ren-an， QIN Shun-quan ．Application of unstressed state method to construction of steel strand stay cable［J］．Bridge Construction，2012，42（3）：75-79．
12 张卓杰，王荣辉 ．求解平行钢绞线斜拉索初张力的数值算法［J］．华南理工大学学报（自然科学版），2014，42（2）：88-95，102．
12 ZHANG Zhuo-jie， WANG Rong-hui ．Numerical method of determining installation force for parallel strand cables［J］．Journal of South China University of Technology（Natural Science Edition），2014，42（2）：88-95，102．
13 任明飞，袁波，王科 ．平行钢绞线斜拉索单股首次张拉力计算方法研究及ExcelVBA程序编制［J］．城市道桥与防洪，2016（8）：271-273，301，26．
13 REN Ming-fei， YUAN Bo， WANG Ke ．Study on calculation method of initial single-strand tension force of parallel steel strand stay cable and ExcelVBA programming［J］．Urban Roads Bridges & Flood Control，2016（8）：271-273，301，26．
14 陈太聪，马海涛，苏成 ．拉索静力状态的高精度无迭代求解方法研究［J］．工程力学，2013，30（3）：244-250．
14 CHEN Tai-cong， MA Hai-tao， SU Cheng ．Study on high-accuracy and non-iteration methods for determining static status of a cable［J］．Engineering Mechanics，2013，30（3）：244-250．
15 GRADSHTEYN I S， RYZHIK I M ．Table of integrals，series，and products［M］．8th ed．San Diego：Academic Press，2014：42-44．
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