非等时距灰色模型在建筑物沉降预测中的应用  

Application of Non⁃equal Time Interval Grey Model in Building Settlement Prediction

作　　者：崔伟 张绪涛[1] 阮兴群 孟凡涛 CUI Wei;ZHANG Xutao;RUAN Xingqun;MENG Fantao(School of Architecture&Civil Engineering,Liaocheng University,Liaocheng,Shandong 252000,China;Shandong Huake Planning Architecture Design Co.,Ltd.,Liaocheng,Shandong 252000,China)

机构地区：[1]聊城大学建筑工程学院,山东聊城252000 [2]山东华科规划建筑设计有限公司,山东聊城252000

出　　处：《施工技术（中英文）》2022年第1期44-50,共7页Construction Technology

基　　金：国家自然科学基金(51804008);山东省自然科学基金面上项目(ZR2020ME240)。

摘　　要：针对传统灰色模型要求原始实测数据是等时距的特点,基于某项目实测数据,利用三次样条插值良好收敛性、优越稳定性以及二阶光滑度的独特性质,将实测数据转化为等时距序列,建立非等时距灰色模型,并采用控制变量法,对时间间隔和观测次数这两种因素进行精度分析,为构建高精度非等时距灰色模型提供借鉴。研究结果表明,三次样条插值具备强大插值能力与高度契合的插值效果,所构建的非等时距灰色模型精度较高,所得到的预测值与实测值误差在3%左右,是高层建筑沉降预测的一种有效方法。In view of characteristics of the traditional grey model which requires that the original measured data are from the equal time interval and in accordance with the measured data of a project,the measured data are converted to time interval,and the unequal time interval grey model is established by taking advantage of the good convergence of cubic spline interpolation and superior stability as well as the unique properties of the second order smoothness.Two factors,i.e.the time interval and the number of observation are accurately analyzed using variable control method,which shed a fresh light to the building of high accuracy unequal time interval grey model.Research results show that the cubic spline interpolation has strong interpolation ability and highly fitting interpolation effect,and the unequal time interval grey model constructed has high accuracy,and the error between the predicted value and the measured value is about 3%.Therefore,it is an effective method for settlement prediction of high⁃rise buildings.

关 键 词：地基 沉降 监测 灰色模型 三次样条插值 非等时距 预测 

分 类 号：TU196[建筑科学—建筑理论]