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Volume 16
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10.3390/buildings16020276
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Article

A Beam-Deflection-Based Approach for Cable Damage Identification

by
Yanxiao Yang
1,2,
Lin Li
1,
Sha Li
3,*,
Li Zhao
4,*,
Hongbin Xu
5,6,*,
Weile Yang
7,
Shaopeng Zhang
8,9 and
Meng Wang
10
1
School of Art and Design, Shijiazhuang University, Shijiazhuang 050035, China
2
School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
3
School of Civil Engineering and Architecture, Hebei University of Engineering Science, Shijiazhuang 050091, China
4
Hebei Vocational College of Labour Relations, Shijiazhuang 050093, China
5
Optoelectronic System Laboratory, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
6
National Key Laboratory of Green and Long-Life Road Engineering in Extreme Environment, Shenzhen University, Shenzhen 518060, China
7
China First Highway Engineering Co., Ltd., Beijing 100024, China
8
Civil Engineering Design Research Institute, China Railway Design Corporation, Tianjin 300142, China
9
School of Civil Engineering, Guangzhou University, Guangzhou 510006, China
10
Hebei Coal Science Research Institute Co., Ltd., Xingtai 054000, China
*
Authors to whom correspondence should be addressed.
Buildings 2026, 16(2), 276; https://doi.org/10.3390/buildings16020276
Submission received: 3 December 2025 / Revised: 29 December 2025 / Accepted: 30 December 2025 / Published: 8 January 2026
(This article belongs to the Section Building Structures)
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Abstract

To address the limitations of existing cable damage identification methods in terms of environmental robustness and measurement dependency, this study proposes a novel damage identification approach based on the second-order difference characteristics of main beam deflection. Through theoretical derivation, the intrinsic relationship between cable damage and local deflection field disturbances in the main beam was revealed, leading to the innovative definition of a second-order difference of deflection (DISOD) index for damage localization. By analyzing the second-order deflection differences at the anchorage points of a three-cable group (a central cable and its two adjacent cables), the damage status of the central cable can be directly determined. The research comprehensively employed finite element numerical simulations and scaled model experiments to systematically validate the method’s effectiveness in identifying single-cable and double-cable (both adjacent and non-adjacent) damage scenarios under various noise conditions. This method enables damage localization without direct cable force measurement, demonstrates anti-noise interference capability, achieves rapid and accurate identification, and provides a technically promising solution for the health monitoring of long-span cable-stayed bridges.
Keywords: stay cable; damage identification; second-order difference of deflection; cable force; bending moment stay cable; damage identification; second-order difference of deflection; cable force; bending moment

Share and Cite

MDPI and ACS Style

Yang, Y.; Li, L.; Li, S.; Zhao, L.; Xu, H.; Yang, W.; Zhang, S.; Wang, M. A Beam-Deflection-Based Approach for Cable Damage Identification. Buildings 2026, 16, 276. https://doi.org/10.3390/buildings16020276

AMA Style

Yang Y, Li L, Li S, Zhao L, Xu H, Yang W, Zhang S, Wang M. A Beam-Deflection-Based Approach for Cable Damage Identification. Buildings. 2026; 16(2):276. https://doi.org/10.3390/buildings16020276

Chicago/Turabian Style

Yang, Yanxiao, Lin Li, Sha Li, Li Zhao, Hongbin Xu, Weile Yang, Shaopeng Zhang, and Meng Wang. 2026. "A Beam-Deflection-Based Approach for Cable Damage Identification" Buildings 16, no. 2: 276. https://doi.org/10.3390/buildings16020276

APA Style

Yang, Y., Li, L., Li, S., Zhao, L., Xu, H., Yang, W., Zhang, S., & Wang, M. (2026). A Beam-Deflection-Based Approach for Cable Damage Identification. Buildings, 16(2), 276. https://doi.org/10.3390/buildings16020276

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