古塔变形的解析

Resolution to the Deformation of Old Pagoda

对2013全国大学生数模竞赛C题"古塔的变形"进行解析。根据观测点的坐标数据,对缺失数据做出处理,给出确定古塔各层中心位置的解析公式和数值迭代的通用方法,并得出数值结果。在此基础上,分析古塔的倾斜、弯曲、扭曲变形,建立起相关的计算公式,列出了对应的计算结果。

This paper gives a resolution to the problem C titled “Deformation of Old Pagoda”in the 2013 National Undergraduate Mathematical Contest in Modeling. According to the observation points’coordinate data, the missing data is calculated, the general method to determine the analytical formulas and numerical iteration of pagoda layers central location is given, and the numerical results are obtained. On this basis, the author analyzes the inclination, curving, twisting and deformation, of the pagoda, establishes relevant formulas, and lists the corresponding calculation results.