对古塔变形趋势的若干思考  

Some Thoughts on Pagoda Deformation Trend

作　　者：纪小玲[1] 

机构地区：[1]定西师范高等专科学校,甘肃定西743000

出　　处：《牡丹江教育学院学报》2014年第11期133-134,共2页Journal of Mudanjiang College of Education

摘　　要：通过建立数学模型来分析古塔的总体变形状况,就是为了科学地对古塔变形趋势有所预测,能有效地采取措施对古塔进行维护。文章采用均值法确定古塔各层中心位置;通过大量的分析假设,运用MATLAB软件结合曲线拟合的最小二乘法,对所测数据进行多项式拟合,列出各层中心点所在曲线的参数方程,求得曲线的曲率和挠率,分析古塔的弯曲、扭曲情况;根据离散的数据图形,比较直观地预测它的变形趋势,有的放矢地采取维护方法。Through the establishment of mathematical model to analyze the overall deformation state in Pagoda,we aim to predict the new trend to Pagoda deformation scientifically and to take effective measures to maintain the Pagoda.Based on the mean method to determine the centre of each layer,through a large number of analysis and hypotheses and using the MATLAB software combined with least square algorithm method for curve fitting for polynomial fitting to the measured data,we can give parameter equation of each layer center point curve and get the answers to the curve of curvature and torsion to analyze the practical situation of pagoda.According to the discrete data graphics,we can predict its bending trend and take effective measures to protect it on purpose.

关 键 词：多项式拟合曲线 曲率 挠率 

分 类 号：TU196[建筑科学—建筑理论]