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非等步长GM(1,1)模型在建筑物变形监测中的应用研究
引用本文:杜海燕,吴吉贤,张耀文.非等步长GM(1,1)模型在建筑物变形监测中的应用研究[J].高原地震,2010,22(1):46-49.
作者姓名:杜海燕  吴吉贤  张耀文
作者单位:1. 秦皇岛星球数码科技有限公司,河北,秦皇岛,066002
2. 燕山大学建工学院,河北,秦皇岛,066004
3. 山东省烟台市地震局,山东,烟台,264001
摘    要:将灰色系统理论应用于建筑物变形监测数据分析,针对观测周期的不确定性因素,提出使用非等步长GM(1,1)模型进行监测,并用最小二乘法求解模型参数,给出模型精度的检验方法,并以实际的建筑物的沉降观测数据为例说明应用此方法的全部过程,将分析和预测结果与传统GM模型进行比对,获得了更好的拟合数据和预测数据,且精度更高。

关 键 词:沉降监测  非等步长GM(1  1)模型  最小二乘法  变形

RESEARCH OF UNEQUAL-STEP GM(1, 1) MODEL AND ITS APPLICATION IN SETTLEMENT OBSERVATION
DU Haiyan,Wu Jixian,ZHANG Yaowen.RESEARCH OF UNEQUAL-STEP GM(1, 1) MODEL AND ITS APPLICATION IN SETTLEMENT OBSERVATION[J].Plateau Earthquake Research,2010,22(1):46-49.
Authors:DU Haiyan  Wu Jixian  ZHANG Yaowen
Institution:1.Qinhuangdao Planet Digital Co.Ltd.,Heibei Province,Qinhuangdao 066002,China;2.College of Engineering & Mechanics,Yanshan University,Heibei Province,Qinhuangdao 066004 China;3.Earthquake Administration of Yantai City,Shandong Province,Yantai 264002,China)
Abstract:In this paper,gray system theory is used in data analysis of building which was observed for several months.Because of the uncertainty of observation period,unequal-step GM(1,1) model is used to process the data,least square is used to get the parameters of unequal-step GM(1,1) model.Test methods are given to inspect the accuracy of this model.According to an example,data process is displayed.Comparing these results to those processed by the traditional GM model,the unequal-step GM(1,1) model is better than the traditional GM model in accuracy,fitting data and forecasting data.
Keywords:Settlement observation  Unequal step GM(1  1)  Least-squares  Deformation
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