详细地介绍了动态GM(1,1)模型的建立及解算过程,使用傅里叶级数对动态GM(1,1)模型进行修正,然后用修正后的模型对高铁沉降进行预测,并将其与未修正模型结果的精度进行比较。实验结果表明,这种使用傅里叶级数进行修正的动态GM(1,1)模型有较高的预测精度,在沉降监测中有一定的实用性。 The establishment and solution of the dynamic GM (1,1) model are introduced in detail. The dynamic GM (1,1) model is modified by using the Fourier series. Then, the modified model is used to predict the settlement of the high-speed rail. Compare it with the accuracy of the uncorrected model results. The experimental results show that this dynamic GM (1,1) model modified by Fourier series has higher prediction accuracy and has certain practicality in settlement monitoring.