古塔的变形问题研究
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摘要
中国古塔由于外界环境、时间变化、人为损毁等因素的影响而产生形变,变形的因素有很多,我们主要对古塔的变形量:倾斜、弯曲和扭曲这3个方面进行分析研究,对这些影响因素做更为精确的量化.利用每一层中心点构成的直线与原始的中心轴构建直角三角形,计算得出塔的倾斜角度,用倾斜角θ来量化古塔的倾斜程度.通过研究古塔每个顶点在地面的投影,利用计算机Mathmatica软件作古塔顶点集在地面投影的直线函数拟合,从而计算扭转后与扭转前两条直线的夹角α,用扭转角度来衡量古塔的扭曲程度.通过分析古塔倾斜角和扭曲度随着时间的变化情况,从而来估测n年以后古塔的变形情况.
Chinese tower affected by the external environment,the time change,man-made damage and other factors caused deformation,there are a lot of factors of deformation,we mainly to analysis of three factors: Inclining,Bending,Distorting. We give the impact of these factors are more precise quantification. Based on each layer of the center point of the straight line and the original center axis construction of a right angled triangle,we calculates the tower inclination angle,used to quantify the Tower inclining.Through the study of Tower each vertex in the ground projection,We give an linear function of the each center vertex in the ground projection by using Mathmatica Software,to calculate the Angle of torsion and rotation of two straight lines,Use the rotation angle to measure the torsion angle of tower. Through the analysis of angle of inclination,twist degree changes with time,and thus to estimate the deformation after n years in Tower.
Chinese tower affected by the external environment,the time change,man-made damage and other factors caused deformation,there are a lot of factors of deformation,we mainly to analysis of three factors: Inclining,Bending,Distorting. We give the impact of these factors are more precise quantification. Based on each layer of the center point of the straight line and the original center axis construction of a right angled triangle,we calculates the tower inclination angle,used to quantify the Tower inclining.Through the study of Tower each vertex in the ground projection,We give an linear function of the each center vertex in the ground projection by using Mathmatica Software,to calculate the Angle of torsion and rotation of two straight lines,Use the rotation angle to measure the torsion angle of tower. Through the analysis of angle of inclination,twist degree changes with time,and thus to estimate the deformation after n years in Tower.
引文
[1]黄声享,尹辉,蒋征.变形监测数据处理[M].武汉:武汉大学出版社,2007.
[2]金彪,吴北平,李艳芳.曲线拟合与自回归模型在地铁变形监测中的运用[J].地矿测绘,2009,25(1):35~37.
[3]梁海奎.古塔变形测量方法探讨[J].城市勘测,2011,(3):113~115.
[4]黄强.古塔变形监测的探讨[J].测绘与空间地理信息,2013,(6):218~220.
[2]金彪,吴北平,李艳芳.曲线拟合与自回归模型在地铁变形监测中的运用[J].地矿测绘,2009,25(1):35~37.
[3]梁海奎.古塔变形测量方法探讨[J].城市勘测,2011,(3):113~115.
[4]黄强.古塔变形监测的探讨[J].测绘与空间地理信息,2013,(6):218~220.