基于最小二乘积求解的高速公路桥梁形变监测  

Deformation Monitoring of Expressway Bridge Based on Least Square Product

作　　者：高江华 韩春华[1] 郭健 韩志琴 GAO Jiang-hua;HAN Chun-hua;GUO Jian;HAN Zhi-qin(School of Transportation Engineering,Kunming University of Science and Technology,Yunnan Kunming 650500,China)

机构地区：[1]昆明理工大学交通工程学院,云南昆明650500

出　　处：《计算机仿真》2022年第12期169-172,234,共5页Computer Simulation

基　　金：云南省应用基础研究计划面上项目(2015FB124)。

摘　　要：为解决因外界环境受力影响或年久失修导致的高速公路桥梁形变问题,提出一种基于倾斜摄影的形变监测方法。通过历史桥梁数据的采集与分析,综合分析选择适用性高、可靠性强的倾斜摄影技术,计算公路桥梁挠度值,得出正常情况下的倾斜角。将倾斜角与挠度值关联控制,推导处于最佳状态的挠度曲线。以此为基础,计算倾斜摄影仪器与桥梁监测点间的相位载波。通过二者间的平行关系,建立三方向空间直角坐标系,代入关键点数据,采用最小二乘积算法求解监测变量值。设计误差方程组,将监测变量作为初始输入值,迭代转换,修正取得最终的可靠性监测数值。仿真结果证明,所提方法具有有效性和可靠性,监测精准度较高、鲁棒性较强,可以应用到实际桥梁监测中。In order to solve the deformation problem of expressway bridges caused by external force or bad maintenance, a deformation monitoring method based on oblique photography was proposed. Based on the collection and analysis of historical bridge data, we selected the technology of oblique photography with high applicability and reliability to calculate the deflection value of highway bridge, thus obtaining a normal inclination angle. After that, we controlled the inclination angle and the deflection value in correlation, and then deduced the deflection curve in the best state. On this basis, we calculated the phase carrier between the oblique photographic instrument and the bridge monitoring point. Based on the parallel relationship between the two, the three-directional spatial rectangular coordinate system was constructed. Moreover, we put the data of key points into the system and used the least square product algorithm to solve the values of monitoring variables. In addition, we designed a set of error equations and took monitoring variables as the initial input values. Finally, we got the reliability monitoring values through iterative transformation and data correction. Simulation results prove that the proposed method is effective and reliable, with high monitoring accuracy and robustness, so it can be applied to actual bridge monitoring.

关 键 词：桥梁形变 挠度值 倾斜角 空间直角坐标系 最小二乘积算法 

分 类 号：U446.3[建筑科学—桥梁与隧道工程]