斜拉索受力状态及几何参数的快速迭代分析方法  

A Method for Fast Iteration Analysing Mechanical State and Geometric Parameters of Stay Cable

作　　者：白冰[1] 杨飞[1,2] BAI Bing;YANG Fei(Research Institute of Highway,Ministry of Transport,Beijing 100088,China;China-Road Transportation Verification&Inspection Hi-Tech Co.,Ltd.,Beijing 100088,China)

机构地区：[1]交通运输部公路科学研究院,北京100088 [2]中路高科交通检测检验认证有限公司,北京100088

出　　处：《公路交通科技》2023年第5期58-64,共7页Journal of Highway and Transportation Research and Development

基　　金：中央级公益性科研院所基本科研业务费专项资金项目(2021-9012a)。

摘　　要：斜拉索是大跨度斜拉桥的关键受力构件之一,其受力状态及几何参数的准确确定是开展结构设计分析和施工控制的重要基础和前提之一。针对这一问题,基于悬索解析理论以及数值求解技术,研究了斜拉索在给定目标索力条件下受力状态及几何参数等信息的快速高精度计算方法。首先,根据悬索解析分析,对适于工程应用的斜拉索线形、倾角及无应力索长等计算控制方程进行了分析总结,重点针对控制方程参数,在分析简单迭代格式的基础上,结合弦截法数值求解技术,提出了求解方程参数的快速迭代解法,并就方法性能进行了对比验证。最后,应用上述方法对实际斜拉桥的斜拉索进行了分析探讨。结果表明:所提出方法具有较高的计算精度和良好的适用性,能够应用于实际桥梁工程斜拉索的控制之中;算法计算稳定、快速,首次迭代计算值即与最终收敛结果较为接近,迭代3~5次后计算即可准确收敛;随着斜拉索索长、竖向夹角不断增大,其非线性效应不断增强。算法针对各斜拉索仍能保持良好的精度和性能,取得了较好的应用效果,这为结构的高精度分析和斜拉索的精准制造、精确安装提供了参考。Stay cables are one of the key load-bearing components of long-span cable-stayed bridge,the accurate determination of its stress state and geometric parameters is one of the important foundations and prerequisites for conducting structural design analysis and construction control.In review of this issue,a fast and high-precision calculation method for the stress state and geometric parameters of stay cables under target force condition is studied based on suspension cable analysis theory and numerical solution techniques.First,based on the analysis of suspension cables,the calculation control equations for the shape,inclination angle and unstressed length of the stay cables suitable for engineering applications are analyzed and summarized.Focusing on the parameters of the control equations,a fast iterative solution for solving the equation parameters is proposed based on the analysis of fix point iterative format and the numerical solution technique of the secant method,and the performance of the proposed method is compared and verified.Then,the stay cables in an actual cable-stayed bridge are analyzed and discussed by using this method.The result shows that(1)The proposed method has good accuracy and applicability,which is suitable for the control of stay cables in actual bridge engineering.(2)The method is stable and fast in calculation,and the first iteration values are relatively close to the final convergence result.After 3-5 iterations,the calculation can accurately converge.(3)As the length and vertical angle of the stay cable continue to increase,its nonlinear effect continues to strengthen.The method can maintain good accuracy and performance for each stay cable,and has achieved good application result.This provides a reference for high-precision structural analysis and precise manufacturing and installation of stay cables.

关 键 词：桥梁工程 受力状态 数值迭代 斜拉索 悬链线理论 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]