Study and analysis of the data of the architectural survey of Hagia Sophia

该研究与1997年和1998年对圣索菲亚大教堂的实地调查同时进行，目的是分析与纪念碑上部结构内表面有关的摄影测量数据。就中央圆顶而言，我们的分析显示了以下几点，而四个大拱门和两个鼓室的分析仍在进行中。1)我们看到的穹顶檐口上表面的背景线，是在6世纪穹顶重建期间切割的，由两条分段曲线组成，由于第一个浅穹顶倒塌造成的向外倾斜和位移，两条曲线的中心被分开定位。背景线弧的位移和变形可分为两部分：(1)由支撑结构在同一方向上的运动引起的弧本身向外的近似平行运动；(2)由于6世纪重建后的檐口变形引起的弧本身的变形或偏离。虽然Van Nice给出的与第一点有关的值有一定的不准确性，但我们的分析首次给出了第二个分量，这对于进一步考虑结构的变形历史很重要。2)将数字化摄影测量数据与参考半圆测量数据进行对比，分析了肋部和中央穹顶垂直剖面的形式特征。在第6部分，垂直剖面的形状在距离地面53-55m的高度附近有明显的偏离。偏差显示了显而易见的。10世纪和14世纪的倒塌痕迹。这种偏差在南部更为明显，并在重建部分的边界处变得明显。10世纪和14世纪的部分，随后在这些世纪的部分倒塌后重建，在截面形状上显着不同，因为它们的肋骨在45米的高度周围有不规则的波浪。少

The object of the research, carried on in parallel with the in-situ survey on the Hagia Sophia in 97 and 98, is to analyze the photogrammetric data relating to the inner surface of the upper structures of the monument. As far as the central dome is concerned, our analyses have shown the following points, while the analyses of the four great arches and two tympana are still in process.1) The setting lines as we see on the upper surface of the dome cornice, incised during the reconstruction of the dome in the 6th century, consists of two segmental curves, the centers of which were separately positioned due to the outward inclinations and displacements mainly caused by the collapse of the first shallow dome. The displacement and deformation of the arc of the setting lines can be divided into two components : (1)a approximately parallel movement of the arc itself toward the outside, caused by the movements of the supporting structure in the same direction, and (2) deformation or the deviat … More ion of the arcs themselves due to the deformation of the cornice after its reconstruction in the 6th century. While the values, though with certain inaccuracy, relating to the first point were given by Van Nice, our analyses have given for the first time the second component which is important for further consideration of the deformation history of the structure.2) The formal characteristics of the ribs and the vertical sections of the central dome has also been analyzed, comparing the digitized data of the photogrammetric survey with the reference semi-circle. In the 6th part, the shape of the vertical section deviates noticeably around the height of 53-55m from the ground level. The deviation shows the evident .trace of the collapse in the 10th and 14th century. The deviation is more clearly visible in the southern portion and becomes obvious toward the border of the reconstructed part. The portions of the 10th and 14th century, subsequently reconstructed after the partial collapse of these centuries, are markedly different in sectional shape in that their ribs have a irregular waving around the height of 45m. Less