悬索桥主缆成桥线形的解析计算  

Iterative Analysis on Main Cable Shape of Suspension Bridges

作　　者：张佳文[1,2] 赵彬[3] 

机构地区：[1]中南大学土木建筑学院,长沙410075 [2]湖南都市职业学院,长沙410137 [3]长沙理工大学土木与建筑学院,长沙410076

出　　处：《湖南城市学院学报（自然科学版）》2011年第1期19-23,共5页Journal of Hunan City University:Natural Science

基　　金：湖南省教育厅科研基金资助项目(10C0101)

摘　　要：根据悬索桥在恒载作用下的力学特点,对悬索桥的主缆线形及无应力索长的计算方法进行了研究.采用悬链线单元建立悬索桥线形和无应力索长的计算公式,结合施工中加劲梁的架设特点,确定了成桥线形分析中的吊索力,还对计算悬索桥主缆线形的非线性方程组采用Newton-Raphson迭代格式求解并编制程序.最后通过算例验证了该方法的计算精度、有效性和稳定性,并将计算结果与其他文献的计算结果进行了分析比较.分析结果表明:该方法具有计算过程简洁和精度高的优点,其精度满足成桥几何线形的初步设计要求,适用于大跨度悬索桥的主缆线形和内力的计算与分析.A method of analytical iteration is presented for calculation the cable shape and the unstressed element length of main cable of suspension bridge based on the mechanical feature of the bridge under dead load.The presented nonlinear equations were analyzed by Newton-Raphson iteration scheme,and a program is developed upon this method.By means of considering the ways of stiff girder construction,the way is provided for calculating the force of suspension cable.Meanwhile,the calculation of suspender force,the solution for the target configuration of main cable of suspension bridge,and the calculation procedures of unstressed element length were discussed in detail.Finally,the efficiency and the accuracy of the proposed method were demonstrated through an example,and the calculation results were compared with the other literature method results.The analytical results show that the presented methods have the advantages of simple procedure and high accuracy.

关 键 词：悬索桥 主缆线形 悬链线 无应力索长 计算方法 

分 类 号：U448.25[建筑科学—桥梁与隧道工程]