基于条件平差的变形监测控制网数据处理及分析  

Data Processing and Analysis of Deformation Monitoring and Control Network Based on Condition Adjustment

作　　者：曹元志 黄长军 Cao Yuanzhi;Huang Changjun(Hunan City University Institute of Municipal and Mapping Engineering,HunanYiyang 413000)

机构地区：[1]湖南城市学院市政与测绘工程学院,湖南益阳413000

出　　处：《科技风》2023年第36期73-75,共3页

基　　金：湖南省自然科学基金联合基金项目(2022 JJ50261);湖南省自然科学基金面上项目(2021JJ30076)。

摘　　要：在某几何模型中,总的实际观测次数为n,必要观测次数t,则多余观测次数r=n-t,那么可列立r=n-t个独立条件方程,这种以条件方程为函数模型的平差方法,称为条件平差法。在变形监测控制网数据处理中,通常可以采用条件平差法对网中的观测数据进行平差和点位精度分析,求出最弱点中误差、最弱边中误差、绘制误差椭圆。其中处理的关键是条件方程式的列立、非线性条件方程式线性化、误差方程式的求解及未知点精度评定。本文以在益阳市资江三桥布设的桥梁控制网为例,推导了全部的桥梁控制网解算过程,并得出了结论。In a certain geometric model,the total actual number of observations is n,and the necessary number of observations is t,so the number of observations r is redundant.Then an independent conditional equation r=n-t can be listed.This adjustment method based on conditional equation as a function model is called conditional adjustment method.In the data processing of deformation monitoring and control network,it is usually possible to use the condition adjustment method to analyze the adjustment and point position accuracy of the observed data in the network,to find out the error of the weakest point,the error of the weakest edge,and draw the error ellipse.The key to deal with these problems are the formulation of conditional equations,linearization of nonlinear conditional equations,solving of error equations and evaluating the accuracy of unknown points.Taking the bridge control network in Zijiang Bridge No.3 of Yiyang City as an example,this paper deduces all the process of solving the bridge control network and draws a conclusion.

关 键 词：条件平差 法方程 测量平差 线性方程组 

分 类 号：G63[文化科学—教育学]