摘要
某千年古塔由于长期受自重、气温、风力等自然因素的影响而会发生诸如倾斜、弯曲或扭曲等形变。文中分析了从1986年~2011年25年间的4次观测数据,运用空间解析几何理论以及VC、Excel等软件,编写了任意凸多边形重心的算法程序,定量分析得出了古塔倾斜、弯曲或扭曲形变趋势的数学模型,为文物部门对其制定必要的保护措施提供了依据。
Deformation such as tilt, bending or twisting of a thousand-year-old pagoda subject to long-term weight, temperature, wind and other natural factors is studied. This paper analyzes the four sets of observation data during 25 years from 1986 to 2011 based on the space analytic geometry theory and the VC, excel and other software, by which an arbitrary convex polygon center of gravity algorithm is formulated. A quantitative analysis is made to obtain mathematical model of the tilt, bend, or twisted deformation trends, which provides a basis for the euhural relics sector to develop the necessary measures to protect them.
出处
《电子科技》
2015年第8期119-121,125,共4页
Electronic Science and Technology
基金
山东省自然科学基金资助项目(ZR2013AQ023)
关键词
古塔
形变
非线性回归
最小二乘法
数学模型
ancient pogoda
deformation
nonlinear regression
least squares method
mathematical model
