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古塔变形的解析
引用本文:陈恩水.古塔变形的解析[J].南通职业大学学报,2014(2):55-58.
作者姓名:陈恩水
作者单位:东南大学数学系,江苏南京210096
摘    要: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。

关 键 词:古塔变形  中心点坐标  倾斜角  弯曲度  扭曲角

Resolution to the Deformation of Old Pagoda
CHEN En-shui.Resolution to the Deformation of Old Pagoda[J].Journal of Nantong Vocational College,2014(2):55-58.
Authors:CHEN En-shui
Institution:CHEN En-shui (Mathematics Department, Southeast University, Nanjing 210096, China)
Abstract: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.
Keywords:old pagoda deformation  center coordinates  tilt angle  bending  twist angle
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