关于古塔变形的研究

基于2013年高教杯数学建模竞赛C题完成的对古塔的变形情况进行研究,针对古塔的倾斜、弯曲、扭曲等方面进行研究分析,并建立相应的数学模型。首先利用给空间平面拟合法确定古塔各层中心位置的通用方法,求解出古塔各层中心坐标;其次计算古塔的倾斜程度以及弯曲、扭曲的变形程度。最后,分析古塔的变形趋势。根据所建模型,得出古塔的变形趋势,对古塔的保护具有很大的指导意义和使用价值。

Research on deformation of ancient tower

This paper is based on the 2013 higher education cup MCM（Mathematical Contest in Modeling） contest C,which researches the deformation of ancient tower. In this paper,research and analysis the tilting,bending,twisting and other aspects of the ancient tower,and establish the mathematical model. First,calculate each layer of the coordinates of the center of the ancient tower using space plane fitting method determining the center of ancient tower. Second,calculate the tilting,bending and twisting degree of ancient tower. Finally,get the deformation trend of ancient tower. According to the model,get the deformation trend of ancient tower which has great guiding significance and application value to the protection of ancient tower.