古塔变形分析模型

The Deformation Analysis Model of the Ancient Pagoda

根据2013年全国大学生数学建模比赛C题中某古塔4年的观测数据,给出了确定古塔各层中心位置的通用方法,建立了最优化模型,用Lingo软件求得4次测量的古塔的各层中心坐标。以斜率、曲率、投影、均方差、拟合等知识为基础,对倾斜度、弯曲度、扭曲度三个指标进行定义,结合使用Excel和Matlab软件对古塔变形情况进行量化分析,最后根据得到的数据对古塔的变形趋势进行预测。

According to the 2013 national college students＇ mathematical modeling competition problem C a pagoda four years of observation data, gives the general method of the ancient towers layers center position, the optimization model is established, using Lingo software, obtained four times while hiking in the measurement of each layer center coordinates; And by slope, curvature, projection, the mean square error, fitting, such as knowledge, slope, bending and torsion degrees ＂ define＂ the three indexes and combined with using Excel and Matlab software, the quantitative analysis of the deformation of the tower, and according to the data to predict the deformation trend of tower.