基于分形插值的桥梁桥墩沉降预测

基于某跨海大桥桥墩的沉降资料,使用重标极差(R/S)分析方法说明桥墩沉降的非线性下隐藏的持续性特征,并计算其分形维数,证明该沉降时间序列具有分形特性。由此通过历史数据建立迭代函数系统,经分形插值方法求取吸引子,并在吸引子基础上进行延拓,建立基于分形插值的预测模型,并将此算法应用于桥墩沉降数据的预测中。算例结果表明,分形插值理论具有较高的预测精度,可满足实际应用要求。

Prediction of Bridge Pier Settlement Based on Fractal Interpolation

Based on a sea crossing bridge pier settlement data,the first to use rescaled range (R/s) method illustrate the persistence of pier settlement nonlinear hidden,and calculate the fractal dimension,it is proved that the settlement time series has fractal characteristics.Thus by using historical data to establish iterated function system and by fractal interpolation method to obtain the attractor and the attractor based on of continuation and establish prediction model of fractal interpolation based on,and this algorithm is applied to the bridge pier settlement data prediction.The results show that the fractal interpolation theory has high prediction accuracy,and can meet the requirements of practical application.