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悬索桥主缆过三定点的精确线形数值解析计算方法
引用本文:王邵锐,周志祥,高燕梅,唐辉.悬索桥主缆过三定点的精确线形数值解析计算方法[J].计算力学学报,2015,32(5):627-632.
作者姓名:王邵锐  周志祥  高燕梅  唐辉
作者单位:重庆交通大学 土木工程学院, 重庆 400074;重庆交通大学 土木工程学院, 重庆 400074;山区桥梁与隧道工程国家重点实验室培育基地, 重庆 400074;重庆交通大学 土木工程学院, 重庆 400074;重庆交通大学 土木工程学院, 重庆 400074
基金项目:交通运输部联合科技攻关(2010-353-341-230)资助项目.
摘    要:系统阐述了悬索桥分段悬链线理论及其基本方程,对变化刚度迭代法计算主缆线形进行了深入分析,发现了其不收敛的情况。对此,提出主缆过三定点的精确线形E-M解析计算方法,通过主缆平衡方程分别推导出末点和中间点标高与主缆左端水平和竖向分力H和V的解析关系式,得出综合考虑末点和中间点标高误差影响的H和V的修正迭代式。算例验证与有限元方法吻合较好,在吊索索力极不均匀的情况下,E-M计算方法仍能有效满足主缆线形过三定点的要求,收敛速度快精度高。

关 键 词:桥梁工程  悬索桥  E-M计算方法  主缆平衡方程  主缆线形
收稿时间:2014/6/22 0:00:00
修稿时间:2014/9/26 0:00:00

Analytical calculation method to calculate the precise main cable alignment of suspension bridge
WANG Shao-rui,ZHOU Zhi-xiang,GAO Yan-mei and TANG Hui.Analytical calculation method to calculate the precise main cable alignment of suspension bridge[J].Chinese Journal of Computational Mechanics,2015,32(5):627-632.
Authors:WANG Shao-rui  ZHOU Zhi-xiang  GAO Yan-mei and TANG Hui
Institution:School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China;School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China;State Key Laboratory Breeding Base of Mountain Bridge and Tunnel Engineering, Chongqing 400074, China;School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China;School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
Abstract:This paper systematically described the segmental catenary theory and the basic equations of suspension bridge.The deformation stiffness iterative method calculating the main cable alignment was analyzed,which has been found that convergence problem may occur;therefore,an E-M method was put forward to calculate the precise main cable alignment of suspension bridge,namely on the basis of the equilibrium equation of main cable to derive the analytical relationship between the elevation of end point,middle point and the horizontal component H and vertical component V of the left end force of main cable,and the modified formulae of H and V considering the elevation error of end point and middle point.An example was introduced,results show that when the cable force is extremely uneven,E-M calculation method still can effectively make the alignment through three fixed points with and fast convergence speed and high precision.
Keywords:bridge engineering  suspension bridge  E-M method  equilibrium equation  main cable alignment
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