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混沌理论在桥梁变形监测中的应用
引用本文:黄维腾.混沌理论在桥梁变形监测中的应用[J].地理空间信息,2022,20(2):147-151.
作者姓名:黄维腾
作者单位:茂名市城规勘察测绘院有限公司,广东 茂名 525000
摘    要:针对桥梁的非线性下沉问题,引用了混沌理论,首先求取时间序列的两重构参数时间延迟τ和嵌入维数m进行相空间重构;随后进行混沌特性判别,确定该时间序列存在混沌迹象;最后根据所求参数建立加权零阶局域预计模型和RBF神经网络混沌预计模型对观测数据进行预计分析,并与系数为0.9的指数平滑预测模型进行比较,结果显示混沌预计模型值更接近实测值,三者相比RBF神经网络混沌预计模型的预计精度优于另外两者,表明混沌预计模型预测精度满足桥梁变形监测精度需求。

关 键 词:参数求取  相空间重构  混沌识别  混沌时间序列  加权零阶局域预测  RBF神经网络混沌预测

Application of Chaos Theory in Bridge Deformation Monitoring
HUANG Weiteng.Application of Chaos Theory in Bridge Deformation Monitoring[J].Geospatial Information,2022,20(2):147-151.
Authors:HUANG Weiteng
Institution:(Maoming city urban survey and mapping institute co.LTD,Maoming 525000,China)
Abstract:We introduced chaos theory according to the nonlinear subsidence problem of bridges.Firstly,we obtained the time delay T and em-bedded dimension m of the two time series reconstruction parameters to reconstruct the phase space.Then,we identified chaos characteristics to determine the existence of chaos in the time series.Finally,we established a weighted zero-order local prediction model and a chaotic prediction model based on RBF neural network to predict and analyze the observed data.Compared with the exponential smoothing prediction model with a coefficient of 0.9,the predicted value of the chaotic prediction model is closer to the measured value.The prediction accuracy of the chaotic pre-diction model based on RBF neural network is better than that of the other two models,which shows that the chaotic prediction model can meet the bridge deformation monitoring accuracy requirement.
Keywords:parameter extraction  phase space reconstruction  chaotic recognition  chaotic time series  weighted zero order local prediction  cha-otic prediction of RBF neural network
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