摘要
普通的灰色残差修正GM(1,1)模型利用差分代替微分,并用原始数据第一个点的值作为时间响应函数的初始值C0,从而给预测带来了一定的误差。本文用多项式逼近法对残差修正GM(1,1)模型进行了改进,并增加了一个初始值参数;还通过一个基础沉降预测的工程实例,对此模型与普通残差修正GM(1,1)模型进行对比。沉降预测结果表明,改进后的模型明显提高了精度,更加适合于基础沉降的预测,具有较好的准确性和工程应用价值。
In common residual-modifying GM（ 1,1 ） model, generally, difference is substituted for differential and the first value of the data sequence is used as an initial value, C0, of the response-time function, which makes some prediction error. In this paper, a new residual-modifying model is proposed by introducing the polynomial approximation method and an initial parameter C0 to improve the residual error. The improved model has compared with common GM（ 1,1 ） by an engineering case of foundation settlement prediction, the results show that the improved model have better precision, so the suggested model in this paper have better accuracy and the value of engineering application for the foundation settlement prediction.
出处
《建筑科学》
北大核心
2007年第11期67-71,共5页
Building Science
基金
湖北省建设科技研究项目(K200549)
关键词
GM(1
1)模型
残差
多项式逼近
沉降预测
GM（ 1, 1 ） model
residual error
polynomial approximation
settlement prediction
