武汉杨泗港长江大桥成桥状态的统一悬链线计算方法  

Unified Catenary Calculation Method for Main Cable of Wuhan Yangsigang Changjiang River Bridge in Completion State

作　　者：邓小康 谢肖礼[1] 徐恭义[3] DENG Xiao-kang;XIE Xiao-li;XU Gong-yi(College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Wuhan Municipal Engineering Quality Supervision Station,Wuhan 430015,China;China Railway Major Bridge Reconnaissance ＆ Design Institute Co.,Ltd.,Wuhan 430050,China)

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]武汉市市政工程质量监督站,湖北武汉430015 [3]中铁大桥勘测设计院集团有限公司,湖北武汉430050

出　　处：《桥梁建设》2018年第4期79-83,共5页Bridge Construction

基　　金：广西防灾减灾与工程安全重点实验室系统性研究项目(2016ZDX0001);武汉市城建委科技计划项目(201615)~~

摘　　要：针对采用分段悬链线法计算悬索桥主缆成桥状态的缺陷,以武汉杨泗港长江大桥主桥(主跨1 700m的钢桁梁双层悬索桥)为背景,提出一种新的悬索桥主缆成桥状态计算方法。该方法基于传统分段悬链线理论对索段进行受力分析,推导出全桥索段的统一悬链线方程,以主缆斜率最小点作为计算起始点,根据主缆线形与斜率的关系和变形相容条件建立方程,利用主缆张力的水平分力与垂度的变化规律求解方程。该方法能保证对平面悬索桥的缆索结构求解收敛。根据该方法编写程序对杨泗港长江大桥主桥主跨主缆的成桥状态进行分析,并与分段悬链线法的计算结果进行对比,结果表明该方法正确可行。该方法的计算结果已成功应用于杨泗港长江大桥主桥的设计中。In view of the defects of calculating the main cables of the suspension bridges in completion state,using the segmental catenary method,the main bridge（a double-deck steel truss girder suspension bridge with the main span of 1 700 m）of Wuhan Yangsigang Changjiang River Bridge was cited as an example and a new method for calculating the main cables of the bridges was proposed.Based on the traditional segmented catenary theory,the force conditions of the main cable segments of the example bridge were analyzed,using the proposed new method and the unified catenary equation for the cable segments of the whole bridge of the bridge was deduced.The minimum point of the slope of a main cable of the bridge was taken as the starting point for the calculation.The corresponding equation was firstly established in terms of the relationship between the geometric shape and slope of the cable and also in terms of the deformation compatibility,the equation was then solved with reference to the changing laws of the horizontal components and sagging of the cable tension and the new method was able to guarantee the solution convergence of the main cable structures of the plane suspension bridges.With the method,the program was complied and the main cable over the main span of the bridge in completion state was calculated and analyzed and the calculations were compared to those of the traditional segmented catenary theory.The results reveal that the new method is correct and feasible and the calculations of the method have been finally successfully applied to the design of the main cables of the main bridge of the bridge.

关 键 词：悬索桥 主缆线形 成桥状态 计算方法 悬链线方程 斜率最小点 无应力长度 

分 类 号：U448.25[建筑科学—桥梁与隧道工程] U443.38[交通运输工程—道路与铁道工程]