基于加权影响矩阵的提篮拱二次调索方法研究

Research of Secondary Cable Adjusting Method of Basket Handle Arch Based on Weighted Influence Matrix

为避免大跨提篮拱吊杆索力二次调索过程中,结构内力、位移出现顾此失彼的情况。以一450m特大跨钢箱提篮拱为工程背景,二次调索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。结果表明:实测索力与设计成桥索力的相对误差可控制在5%以内,完全满足规范限值的要求;在有限元计算过程中考虑几何非线性效应的方式,减小了几何非线性效应对结构的影响;作为一种加速收敛的方法,加权影响矩阵具有收敛速度较为均匀的特点。

In order to avoid the inconsiderateness of force and displacement of the structure in the process of secondary cable adjustment of the suspender force of long-span basket handle arch.Use a450 m long-span basket handle arch as engineering background,the process of the cable the influence matrix increase the weighting coefficient,using MATLAB to solve the weighted least-squares solution of equation,after a small amount of iterative computation,the cable force difference is stable.Research shows that:The relative error of the measured cable force with completion cable forces can be controlled within 5%,fully meet the specification limit requirements.The way of considering the geometric nonlinear effect during finite element calculation reduced the influence of the effect on structure.As a way of accelerate convergence,the weighted influence matrix has uniform convergence speed.