## 2 Analytical Model and Equations  
### Mechanism of Tower Deviation Error Formation  
Construction control mainly aims to ensure that the final construction meets the design requirements, and the error is why results deviate from the design state. Many factors can cause the structural error of arch ribs, among which tower deviation and cable force \begin{table}
\begin{tabular}{p{142.3 pt} p{142.3 pt} p{142.3 pt}} \hline \hline
**Research Content** & **Studies** & **Research Flaws** \\ \hline Smart tower deviation control systems & In 2020, [PERSON] [23] introduced a GNSS-based active control technology for the longitudinal displacement of the tower top. & Through theoretical analysis, the feasibility of the smart tower deviation control system was verified, but no actual engineering application was carried out. [PERSON] [24] used intelligent active load regulation technology to adjust the arch rib deformation during the powering process, but did not consider the deformation of the tower. & Through theoretical analysis, the feasibility of the smart tower deviation control system was verified, but no actual engineering application was carried out. [PERSON] [24] used intelligent active load regulation technology to control the deformation of the arch rib during the powering process, but did not consider the deformation of the tower. & Through theoretical analysis, the feasibility of the smart tower deviation control system was verified, but no actual engineering application was carried out. [PERSON] [24] used intelligent active load regulation technology to control the deformation of the arch rib during the powering process, but did not consider the deformation of the tower. & Through theoretical analysis, the feasibility of the smart tower deviation control system was verified, but no actual engineering application was carried out. [PERSON] [24] used intelligent active load regulation technology to control the deformation of the arch rib during the powering process, but did not consider the deformation of the tower. & Through theoretical analysis, the feasibility of the smart tower deviation control system was verified, but no actual engineering application was carried out. [PERSON] [24] used intelligent active load regulation technology to control the deformation of the arch rib during the powering process, but did not consider the deformation of the tower. & Feature to apply satellite monitoring methods to the bridge. \\ The methods of analysing and measurement & [PERSON] and [PERSON]. [27] conducted a precision calibration test on the Beidou monitoring system, and the results show that the horizontal displacement measurement accuracy is within 2 mm, and the settlement measurement accuracy is within 5 mm, proving that the accuracy of automatic satellite monitoring is consistent with the manual monitoring of total station, and it is not easily affected by the environment. & Feature to apply satellite monitoring methods to the bridge. \\ \hline \hline \end{tabular}
\end{table} 
Table 1: The studies about smart tower deviation control systems and the methods of analysing and measurement. deviation are two important factors. To study the impact of tower deviation, the cable force is fixed, only the influence of the tower deviation on the feed rib is studied. The stress deformation of the tower will lead to the linkage effect of the arch ribs on the suspension and affect the suspension precision of the arch girder. In order to explore the basic principle of tower deflection, the following two assumptions are made: (1) assuming that the total length of buckle cable and anchor cable remains unchanged, it is considered that the cable will not be adjusted after the buckle cable is tensioned; (2) It is assumed that the buckle tower and arch rib segments are rigid bodies, there is no elastic deformation, only rigid body displacement.