优化的非等距GM(1,1)模型在基坑周边地表沉降预测中的应用  

Application of Optimized Non-equidistance GM(1,1) Model for Predicting Foundation Settlement in the Base Pit Vicinity

作　　者：徐鑫鑫[1] 苏华友[1] 张春萍[1] 王伟[1] 

机构地区：[1]西南科技大学环境与资源学院,四川绵阳621010

出　　处：《数学的实践与认识》2014年第1期91-96,共6页Mathematics in Practice and Theory

摘　　要：由于影响基坑沉降的因素较多,并且在实际工作中监测数据存在非等距的情况,通过传统的非等距GM(1,1)模型的建模原理分析了其预测精度低的原因,同时指出背景值是影响非等距GM(1,1)模型精度的关键因素之一.在此基础上,提出运用Newton插值法和Newton-Cotes求积公式优化背景值,结合工程实例,表明优化后的非等距GM(1,1)模型在沉降预测中的有效性.Because many factors influence the foundation settlement and the data are non- equidistant in the practical work, the reasons of low precision on predicition are analyzed with traditional GM（1,1） model. At the same time, pointing out the background value is one of the most important factor affecting the precision of non-equidistant GM （1, 1） model. Based on this, one method is proposed which optimizes the background value with Newton interpolation and Newton-Cotes quadrature formula. And the engineering example shows the effectiveness of the optimized non-equidistant GM （1, 1） model.

关 键 词：非等距 GM(1 1)模型 背景值 沉降预测 

分 类 号：TU433[建筑科学—岩土工程] N941.5[建筑科学—土工工程]