基于B-Spline的位移监测数据动态优化拟合  

Dynamic Optimization Fitting of Displacement Monitoring Data Based on B-Spline

作　　者：卫俊杰 荣建 王颖轶[1] 王美华 WEI Junjie;RONG Jian;WANG Yingyi;WANG Meihua(Shanghai Jiaotong University,School of Naval Architecture,Ocean&Civil Engineering,Shanghai 200240,China;Shanghai Urban Construction Municipal Engineering(Group)Co.,Ltd.,Shanghai 200065,China;Shanghai Construction Group Co.,Ltd.,Shanghai 200080,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]上海城建市政工程(集团)有限公司,上海200065 [3]上海建工集团股份有限公司,上海200080

出　　处：《建筑施工》2023年第12期2365-2369,共5页Building Construction

基　　金：上海城建市政工程(集团)有限公司技术攻关项目。

摘　　要：为更好地进行工程位移的监测,对基坑施工过程钢支撑水平位移激光监测数据特征、误差类型及其成因进行了分析,研究了B-Spline在海量监测数据去噪中的适用性,并通过引入待估参数的B样条基函数修正,建立最小二乘控制下位移-时间关系的高精度拟合优化。结果表明:待估参数ζ_(i)的修正重构,把监测数据序列转化为参数估计问题,使位移时变关系的最优化拟合成为可能;移动时间坐标方法,可实现等时距监测数据的动态处理,优化计算时间;B-Spline融合最小二乘法,在最小方差控制下实现监测数据-时间关系最优拟合,形成光滑、连续的高精度拟合曲线,有利于提高监测反馈控制的精度和可靠性。实例应用验证了成果的可靠性和适用性。To better monitor engineering displacement,the characteristics,error types,and causes of laser monitoring data for steel support horizontal displacement during foundation pit construction are analyzed.The applicability of B-Spline in the denoising of massive monitoring data is studied,and the B-Spline basis function with parameters to be estimated is introduced to correct the data.A high-precision fitting optimization method under the control of least squares is established for displacement-time relationship.The results show that the correction and reconstruction of parametersζ_(i) convert the monitoring data sequence into a parameter estimation problem,making it possible to optimize the fitting of displacement time-varying relationship.The moving time coordinate method can realize dynamic processing of isochronous monitoring data and optimize the calculation time.The B-Spline fusion with least squares method achieves optimal fitting of monitoring data-time relationship under the control of minimum variance,forming a smooth and continuous high-precision fitting curve,which is conducive to improving the accuracy and reliability of monitoring feedback control.The application of the example verifies the reliability and applicability of the results.

关 键 词：基坑位移 误差处理 B样条基函数修正重构 B-Spline融合最小二乘法 高精度拟合 

分 类 号：TU753[建筑科学—建筑技术科学]