Research on the Application of DDGM(2,1)Model in the Prediction of Settlement of High-rise Buildings
To effectively monitor the settlement of high-rise buildings,a direct discrete model of second-order chi-square sequence,DDGM(2,1),is proposed to establish a prediction model for the settlement of high-rise buildings by combining these data with the observation data of high-rise build-ing settlements in the neighborhood of Bengbu city.To reduce the cumulative error,a generalized pre-diction model equivalent to the DDGM(2,1)model is derived.Moreover,the predicted values of the DDGM(2,1),Verhulst and DNDGM(2,1)models are compared with the actual values,and evaluation indices such as the RMSE,MAE and MSE of each model are calculated.The results show that the pre-diction accuracy of the direct discrete generalized form model is better than that of the direct discrete model in the simulation region,while its prediction accuracy is inferior to that of the direct discrete mod-el in the model prediction region;moreover,the absolute error in the MAE between the two models is 10%.The DDGM(2,1)model-fitted and predicted settlements were less than 0.211 mm,and the mean absolute error(MAE)was reduced by 78%compared with that of the DNDGM(2,1)model and by 9%compared with that of the Verhulst model,which indicated a better prediction ability.
GM(2,1)direct discretegeneralized form modelbuilding settlementprediction