非等时距MGM(1,m)模型在高速公路沉降预测中的应用

Application of Non-isometric MGM(1,m) Model to the Settlement Prediction in Highway

分别以Lagrange插值法和三次样条曲线法为基础,利用灰色理论建立高速公路沉降预测的非等时距GM(1,m)模型。分析比较MGM(1,m)与GM(1,1)模型精度,基于非等时距的MGM(1,3)模型沉降预测结果与实测情况吻合较好,拟合与预测精度也比非等时距GM(1,1)的精度高,非等时距的序列转换采用Lagrange插值函数法和三次样条曲线法求得,对于此次工程数据采用三次样条曲线法较Lagrange插值函数法精度高。

Based on Lagrange interpolation method and the cubic spline curve method, this paper used the gray theory to establish the non-isometric GM(1,m) model of the highway settlement prediction. Comparing the precision of MGM(1,m) with GM(1,1) model, the results show that the settlement prediction results of MGM(1,3) model agree well with actual situation, and the precision of fitting and prediction of MGM(1,3) model is higher than the non-isometric GM(1,1) model. The non-isometric sequence conversion obtained by Lagrange interpolation method and the cubic spline curve method. According to this engineering data, the precision of the cubic spline curve method is higher than the precision of Lagrange interpolation.