文献类型：期刊文献

中文题名：对古塔变形趋势的若干思考

英文题名：Some Thoughts on Pagoda Deformation Trend

作者：纪小玲[1]

第一作者：纪小玲

机构：[1]定西师范高等专科学校,甘肃定西743000

第一机构：甘肃中医药大学定西校区

年份：2014

期号：11

起止页码：133

中文期刊名：牡丹江教育学院学报

外文期刊名：Journal of Mudanjiang College of Education

语种：中文

中文关键词：多项式拟合曲线;曲率;挠率

外文关键词：polynomial fitting curve; curvature; torsion

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.