Studies on the domical structure through the period of Late-Antique and Early -Medieval era on the basis of the architectural survey of Hagia Sop hia, Istanbul

1)通过对结构内表面网格数据和等高线图的一系列分析，明确了与圣索菲亚大教堂的主要结构元素（主墩、拱壁、垂拱、南北大拱门）相关的结构变形。计算了从教堂第一次完工到现在的位移和倾角值。2)分析了圆顶飞檐上的一对设置线。分析结果表明，穹顶檐口本身的变形与穹顶基座从外部紧靠吊杆的变形有明显的相似性。通过分析，确定了飞檐水平上穹顶的初始水平形式。扶壁的倾斜度与大拱的倾斜度是一致的。4)计算了主拱倾斜垂直内面的附加修正量。5)南北双拱形成一个统一的结构。6)利用新获取的数据和等高线图（比例尺为1 ~ 50）计算鼓室向北和向南的变形。7)根据1992年开展的摄影测量，绘制了圣塞尔吉乌斯和巴克斯圆顶的等高线地图（比例为1:50）。

1) Structural deformations relating to the principal structural elements -main piers, buttresses, pendentives, northern and southern great arches-of Hagia Sophia have been clarified through a series of analyses of mesh data and contour maps of the inner surface of the structure. Values of the displacement and angles of the inclination since the first completion of the church up to the present were calculated. 2) A pair of setting lines on the dome cornice were analyzed. The analysis has shown the marked similarity between the deformation of the dome cornice itself and that of dome base abutting the pendentives from the outside. Through the analysis, the initial horizontal form of the dome on the level of the cornice was fixed. 3) Inclination of the buttresses and that of great arches were proved to be correspondent. 4) The amount of the additional correction of the inclined vertical inner face of the main arches was calculated. 5) The double arches on the north and south act as one unified structure. 6) The deformations of the tympana to the north and south were calculated using newly acquired data and contour maps( on the scale of 1 to 50). 7) A contour map (on the scale of 1 to 50) of the dome of Hagios Sergius and Bacchus has been made by the photogrammetry carried out in 1992.