基于加权影响矩阵的提篮拱初张索力确定方法研究  

Research on Initial Cable Forces Determination Method of Basket Handle Arch Based on Weighted Influence Matrix

作　　者：刘世建 卓小丽 Liu Shijian;Zhuo Xiaoli(Guangxi Transportation Research & Consulting Co.,Ltd.,Nanning 530007,China)

机构地区：[1]广西交通科学研究院有限公司

出　　处：《华东交通大学学报》2019年第3期39-45,共7页Journal of East China Jiaotong University

基　　金：广西重点研发计划项目(桂科2018AB66014)

摘　　要：大跨提篮拱吊杆初张索力确定过程中,因其空间结构及受力复杂,容易出现顾此失彼的情况。以某450m特大跨钢箱提篮拱为工程背景,初张索力求解过程中对影响矩阵增加加权系数,通过Matlab求解加权后方程的最小二乘解,经过少量的迭代运算,索力差值即趋于稳定,计算成桥索力与设计成桥索力的相对误差最大为0.28%。加权影响矩阵作为一种加速收敛的方法,吊杆索力收敛速度较为均匀,对类似桥梁成桥索力的确定或索力二次调整提供了一种新思路。Due to its complicated spatial structure and force,the conventional influence matrix method is restricted to some extent in the process of secondary cable adjustment of the suspender force of long-span basket handle arch,inconsiderateness is apt to occur.By using a 450 m long-span basket handle arch as the engineering background and increasing the weighting coefficient of the influence matrix,this study solved the weighted least-squares solution of equation through Matlab.After a small amount of iterative computation,the cable force difference was stable and the maximum relative error between the calculated cable force and the designed cable force was 0.28%.As a method of accelerating convergence with homogeneous rate of convergence,the weighted influence matrix provides a new way for determining the cable force of similar bridges in the completion stage or the secondary cable adjusting.

关 键 词：加权影响矩阵 提篮拱 初张索力 迭代运算 

分 类 号：U44[建筑科学—桥梁与隧道工程]