## 6 Conclusions  
In this study, the cable that had the greatest influence on structural deformation was selected as the breaking object, and the dynamic influence coefficient (DIC), dynamic amplification coefficient (DAF) and demand capacity ratio (DCR) were taken as the breaking analysis indexes (3D indexes). The influence of the cable breaking on the dynamic response of asymmetric single-tower cable-stayed bridge was studied using the semi-dynamic simulation method, and the conclusions were as follows:  
(1) A method was proposed to solve the time point of continuous breaking of cables, which could obtain the time of continuous breaking that caused the maximum vibration response of the structure. The peak response value of cables breaking in succession was less than that of the cables breaking at the same time, and the structural vibration caused by the cables breaking in succession was not as severe as that caused by the cables breaking at the same time. (2) The strength of the remaining cables could meet the dynamic stress requirement of instantaneous cable breakage, and the cable with the largest dynamic stress increase was the adjacent cable. The closer to the broken cable, the greater the dynamic stress increase. With the change in cable number, the DAF increased nonlinearly and changed within 1.10-1.30. (3) Although the broken cable caused the stress near the broken cable and the corresponding position on the opposite side of the cable tower to increase sharply, the stress fluctuations in other positions were small. The strength of the main girder met the dynamic stress requirement of the broken cable vibration, and the maximum dynamic displacement of the main girder was less than the stiffness limit. The dynamic stress increase of the #M24 cable breaking was greater than that of the #S29 cable breaking; the dynamic stress increase was the largest at the broken cable position; and the stress DAF was between 1.01 and 2.52, with the largest at the mid-span position of side 3. (4) In the structural vibration caused by successive breakdowns, the strength of the cable tower could meet the demand of dynamic stress. The stress change was relatively small, but the displacement of the tower top changed greatly. The breaking of the longest cable in the side span had the greatest influence on the stress of the tower, with a maximum increase in the dynamic stress of 36.3% and the maximum dynamic displacement of the tower top exceeding 3.0 times that of the initial displacement. Conceptualization, Y.C. and H.C.; formal analysis, Y.C. and S.W. ; methodology, J.Z. and H.C.; software, Y.C. and S.W. ; resources, K.H. and H.C.; writing--review and editing, Y.C. and S.W. ; supervision, S.W., H.C. and Y.C. All authors have read and agreed to the published version of the manuscript. This research was funded by the projects of \"scientific research on intelligent management of long-span double-deck steel truss combined beam and bridge life cycle\" grant number [00501917] and \"research on real-time monitoring system of important bridges\" grant number [0050229916]. And The APC was funded by [0050229916]. We choose to exclude this statement because the study did not require ethical approval. Informed Consent Statement:Informed consent was obtained from all subjects involved in the study. We choose to exclude this statement because the study did not report any data. The authors acknowledge the support of China Railway Bridge Research Institute Co., Ltd. and Fuzhou Municipal Engineering Center. The authors declare no conflict of interest. * _[PERSON] et al. (2011)_ [PERSON]; [PERSON] Numerical and experimental study on the interaction cable structure during the failure of a stay in a cable stayed bridge. _Eng. Struct._**2011**, _33_, 2330-2341. [CrossRef]
* _[PERSON] et al. (2022)_ [PERSON]; [PERSON]; [PERSON]; [PERSON] Model test on static performance degradation of cable-stayed bridge with cable rupture and main girder damage. _Arch. Appl. Mech._**2022**, _53_, 653-664. (In Chinese)
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