基于卡尔曼滤波算法的悬拼梁桥线形控制研究  

Study on Alignment Control Based on Kalman Filtering Algorithm for a Girder Bridge with Cantilever Erection

作　　者：陈浩 邓向振 戴志意 韩晓健[3] 赖韬 王俊[3] CHEN Hao;DENG Xiangzhen;DAI Zhiyi;HAN Xiaojian;LAI Tao;WANG Jun(Nanjing Metro Construction Co.,Ltd,Nanjing Jiangsu 211806 China;China Construction Eighth Engineering Bureau Co.,Ltd,Nanjing Jiangsu 210008China;College of Civil Engineering,Nanjing Tech University,Nanjing Jiangsu 211816 China)

机构地区：[1]南京地铁建设有限责任公司,江苏南京211806 [2]中国建筑第八工程局有限公司,江苏南京210008 [3]南京工业大学土木工程学院,江苏南京211816

出　　处：《江苏建筑》2023年第4期62-66,共5页Jiangsu Construction

基　　金：江苏省建设系统科技项目(2021ZD05)。

摘　　要：线形控制是保证梁桥悬拼施工成桥后满足设计要求的关键。文章分析了桥梁拼装过程中的线形误差产生的原因,提出了考虑施工预拱度和拼装误差的梁桥悬拼高程预测方法及纠偏措施。该方法以卡尔曼滤波算法为理论基础,在状态方程中将相邻节段的设计高程之比作为测量系数,将相邻节段施工预拱度的差值作为控制量,通过卡尔曼估计器递推公式得到拼装过程中节段高程的最优无偏估计值。结合工程实例,通过高程预测方法得出悬拼过程中节段的挠度最大值为3.75 mm,成桥后桥梁挠度实测值与设计值的最大偏差为12.5 mm,满足线形控制要求。基于卡尔曼滤波的高程预测方法所得到的预测值与设计标高偏差较小,可为此类悬拼梁桥的施工提供一定的工程经验。Alignment control is critical to ensure that design requirements are satisfied after a girder bridge is completed by balanced assembling cantilever construction method.This paper analyzes the causes of errors during bridge assemblage,and proposes a prediction method and correction measures for beam bridges considering construction camber.The method is based on the Kalman filtering algorithm,in the state equation,the ratio of the design elevation of adjacent segments is used as the measurement coefficient,and the difference between the adjacent segment construction camber is used as the control variation.Recursive formulas of Kalman estimator get the optimal unbiased estimate of the segment elevation during assembly.The maximum deflection of the segment is 3.75 mm based on the proposed method for a practical engineering project,and the maximum difference of the flexural flexibility value and the design value of the bridge is 12.5 mm,which satisfies the linear control requirements.The predicted value of the elevation prediction method based on Kalman filter is small,which provides a certain engineering experience for similar bridge construction.

关 键 词：线形控制 卡尔曼算法 预测控制法 悬臂拼装法 

分 类 号：U445[建筑科学—桥梁与隧道工程]