Mathematical Model for Deformation Analysis of Guta

Abstract

In this paper, the data in the appendix were removed from the missing data and the valid data were retained. The following problems were solved by the statistical processing of the valid data. While examining on foot the measured data of tower layers' positions in different years and different classifications, the measured coordinates of each layer of the ancient tower in 1986 will be taken as the basis, and the scatter distribution of each layer of the tower will be made by MATLAB, and the coordinate point positions are found to be on the same basic circular plane. Based on the minimum sum of distances from any point on the same circular plane to the fixed points (a, b, c), a nonlinear programming model is established, and by substituting the data to calculate the The coordinates of the center of each level of the ancient pagoda four years ago were calculated by substituting the data. When analyzing the settlement of the gutta, the change of the horizontal plane is not considered, but the change of the vertical ground coordinates of the gutta, i.e. the change of the Z-axis causes the overall rise and fall of the gutta. Based on the center coordinates of each level of the guttae obtained from problem 1, the three settlement differences, average settlement and annual average settlement from 1986 to 1996,1996 to 2009, and 2009 to 2011 are calculated. It can be seen that the ancient tower is sinking year by year, and the sinking rate increases year by year.