journal article·2026-04-16Open access

Direct Structural Response Monitoring Versus Weight-Based Damage Detection in Bridge Weigh-in-Motion

Kun Feng, Arturo González, Miguel Casero

Applied Sciences· Volume 16· Issue 8

Abstract

Bridge weigh-in-motion (BWIM) systems estimate axle and gross vehicle weights from measured bridge responses, typically strains but also displacements and rotations, via algorithms based on influence lines. Changes in inferred weights have been proposed as damage indicators, allowing existing BWIM installations to contribute to structural health monitoring without additional sensors. However, BWIM accuracy is sensitive to discrepancies between idealised models and actual bridge–traffic conditions, including variability in vehicle configurations, road profiles, measurement noise, multiple-vehicle presence, and uncertainty in vehicle positioning. This paper uses a numerical vehicle–bridge interaction framework to compare the sensitivity of direct structural responses and BWIM-derived gross vehicle weights to global, local, and combined stiffness reductions in a short-span, simply supported bridge. The analysis considers different signal-to-noise ratios and field-representative BWIM error distributions corresponding to COST 323 accuracy classes. Direct monitoring of strain, displacement, and especially rotation provides slightly higher sensitivity to global stiffness changes than BWIM-inferred weights, but BWIM-inferred weights derived from rotations can be more robust than direct responses for detecting local damage under low signal-to-noise ratios. When BWIM calibration and modelling errors are included, detection performance degrades rapidly with decreasing accuracy class; meaningful local-damage detection is achieved only for the highest class. Multi-sensor configurations combining strain and rotation help distinguish quasi-uniform global changes from localised damage by exploiting their differential sensitivity to global and local stiffness variations.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Structural Health Monitoring Techniques · Transport Systems and Technology · Railway Engineering and Dynamics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of EAE, Anglia Ruskin University, Peterborough PE1 5BW, UK

School of Civil Engineering, University College Dublin, D04 V1W8 Dublin, Ireland

References (81)

Show source-provided references
1. Recent developments in bridge weigh in motion (B-WIM)10.1007/s13349-015-0119-6 ↗
2. Weigh-in-motion system using instrumented bridges10.1061/TPEJAN.0000783 ↗
3. Monte Carlo simulation of extreme traffic loading on short and medium span bridges10.1080/15732479.2012.688753 ↗
4. State-of-the-art review on bridge weigh-in-motion technology10.1177/1369433216655922 ↗
5. Non-intrusive schemes for speed and axle identification in bridge-weigh-in-motion systems10.1088/1361-6501/aa52ec ↗
6. Nothing-on-road bridge weigh-in-motion considering the transverse position of the vehicle10.1080/15732479.2017.1401095 ↗
7. Improved axle detection for bridge weigh-in-motion systems using fiber optic sensors10.1007/s13349-017-0229-4 ↗
8. Contactless bridge weigh-in-motion10.1061/(ASCE)BE.1943-5592.0000776 ↗
9. A non-contact vehicle weighing approach based on bridge weigh-in-motion framework and computer vision techniques10.1016/j.measurement.2023.113994 ↗
10. González, A. (2010). Development of a Bridge Weigh-in-Motion System, LAP Lambert Academic Publishing.
11. Field-calibrated influence lines for improved axle weight identification with a bridge weigh-in-motion system10.1080/15732479.2014.904383 ↗
12. Development of bridge influence line identification methods based on direct measurement data: A comprehensive review and comparison10.1016/j.engstruct.2019.109539 ↗
13. Biondini, F., and Frangopol, D.M. (2023). Bridge weigh-in-motion to support SHM. Life-Cycle of Structures and Infrastructure Systems, CRC Press.10.1201/9781003323020 ↗
14. Application of bridge weigh-in-motion system in bridge health monitoring: A state-of-the-art review10.1177/14759217231154431 ↗
15. Sources of errors in fatigue assessment of steel bridges using BWIM10.1007/s13349-017-0225-8 ↗
16. Dual-purpose procedure for bridge health monitoring and weigh-in-motion used for multiple-vehicle events10.1016/j.autcon.2023.104768 ↗
17. Assessment of highway bridge upgrading by dynamic testing and finite-element model updating10.1061/(ASCE)1084-0702(2003)8:3(162) ↗
18. Damage detection and parameter identification by finite element model updating10.1007/BF03044517 ↗
19. Hekič, D., Anžlin, A., Kreslin, M., Žnidarič, A., and Češarek, P. (2023). Model updating concept using bridge weigh-in-motion data. Sensors, 23.10.3390/s23042067 ↗
20. Bridge damage detection using weigh-in-motion technology10.1061/(ASCE)BE.1943-5592.0000674 ↗
21. Monitoring of changes in bridge response using weigh-in-motion systems10.4028/www.scientific.net/KEM.569-570.183 ↗
22. Bridge damage detection using rotation measurements—Experimental validation10.1016/j.ymssp.2019.106380 ↗
23. Bridge damage detection using vehicle axle-force information10.1016/j.engstruct.2017.10.012 ↗
24. Identifying damage on a bridge using rotation-based bridge weigh-in-motion10.1007/s13349-020-00445-w ↗
25. Bridge damage localization using axle weight time history data obtained through a bridge weigh-in-motion system10.1061/(ASCE)CF.1943-5509.0001642 ↗
26. Identifying damage in a bridge by analysing rotation response to a moving load10.1080/15732479.2019.1680710 ↗
27. Monitoring the condition of narrow bridges using data from rotation-based and strain-based bridge weigh-in-motion systems10.1061/(ASCE)BE.1943-5592.0001872 ↗
28. The virtual axle concept for detection of localised damage using bridge weigh-in-motion data10.1016/j.engstruct.2015.02.001 ↗
29. Bridge damage detection by means of displacement based bridge weigh-in-motion10.21741/9781644902455-31 ↗
30. Revised virtual axle method for damage detection using bridge weigh-in-motion systems10.1007/s13349-025-01013-w ↗
31. Irawan, J., Kim, C.W., and Cantero, D. (2025, January 18–21). Comparative sensitivity analysis of virtual axle approaches in bridge weigh-in-motion systems. Proceedings of the Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches, Proceedings of the ABSE Symposium, Tokyo, Japan.10.2749/tokyo.2025.1692 ↗
32. Acceleration-based bridge weigh-in-motion10.3233/BRS-190143 ↗
33. O’Brien, E.J., Khan, M.A., McCrum, D.P., and Žnidarič, A. (2020). Using statistical analysis of an acceleration-based bridge weigh-in-motion system for damage detection. Appl. Sci., 10.10.3390/app10020663 ↗
34. BWIM aided damage detection in bridges using machine learning10.1007/s13349-015-0137-4 ↗
35. Novel methodology for identifying the weight of moving vehicles on bridges using structural response pattern extraction and deep learning algorithms10.1016/j.measurement.2020.108384 ↗
36. Footbridge damage detection using smartphone-recorded responses of micromobility and convolutional neural networks10.1016/j.autcon.2024.105587 ↗
37. Bridge weigh-in-motion considering dynamic response in observation noise with application to multiple driving conditions10.1016/j.strusafe.2023.102350 ↗
38. Nothing-on-road axle detection strategies in bridge-weigh-in-motion for a cable-stayed bridge: Case study10.1061/(ASCE)BE.1943-5592.0001259 ↗
39. Improved accuracy and robustness of bridge weigh-in-motion systems10.1080/15732479.2017.1406958 ↗
40. Development and testing of a bridge weigh-in-motion method considering nonconstant vehicle speed10.1016/j.engstruct.2017.09.044 ↗
41. Convoluted reciprocity and other methods for vehicle speed estimation in bridge weigh-in-motion systems10.1061/JBENF2.BEENG-6422 ↗
42. Bridge influence surface identification using a physical informed neural network and its application on load transverse localisation10.1016/j.engstruct.2025.120618 ↗
43. Using bridge weigh-in-motion systems to monitor single-span bridge influence lines10.1007/s13349-020-00407-2 ↗
44. Testing of a bridge weigh-in-motion algorithm utilising multiple longitudinal sensor locations10.1520/JTE104576 ↗
45. Experimental testing of a moving force identification bridge weigh-in-motion algorithm10.1007/s11340-008-9188-3 ↗
46. Adaptation of cross entropy optimisation to a dynamic bridge WIM calibration problem10.1016/j.engstruct.2012.05.047 ↗
47. Zhu, X., Cao, M., Ostachowicz, W., and Xu, W. (2019). Damage identification in bridges by processing dynamic responses to moving loads: Features and evaluation. Sensors, 19.10.3390/s19030463 ↗
48. Wavelet-based crack identification of bridge beam from operational deflection time history10.1016/j.ijsolstr.2005.07.024 ↗
49. Structural damage detection from dynamic responses of the bridge deck under a moving load using discrete wavelet transform10.1186/s43251-022-00053-2 ↗
50. Damage-identification method for bridge structures based on displacement influence line and wavelet packet analysis10.1061/JPCFEV.CFENG-4549 ↗
51. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis10.1098/rspa.1998.0193 ↗
52. Nonlinear response characterization of post-tensioned R.C. bridges through Hilbert–Huang transform analysis10.1155/2024/5960162 ↗
53. Zeng, S., Cui, J., Luo, D., and Lu, N. (2025). Bridge damage identification using time-varying filtering-based empirical mode decomposition and pre-trained convolutional neural networks. Sensors, 25.10.20944/preprints202507.0398.v1 ↗
54. Damage identification of bridge structure based on frequency domain decomposition and strain mode10.21595/jve.2019.20154 ↗
55. Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle10.1016/j.ymssp.2012.10.002 ↗
56. Damage identification in bridge structures subject to moving vehicle based on extended Kalman filter with l1-norm regularization10.1080/17415977.2019.1582650 ↗
57. Hu, W.H., Tang, D.H., Teng, J., Said, S., and Rohrmann, R.G. (2018). Structural health monitoring of a prestressed concrete bridge based on statistical pattern recognition of continuous dynamic measurements over 14 years. Sensors, 18.10.3390/s18124117 ↗
58. Santos-Vila, I., Soto, R., Vega, E., Crawford, B., and Peña, A. (2025). Damage detection on real bridges using machine learning techniques: A systematic review. Appl. Sci., 15.10.3390/app15168884 ↗
59. Li, S., Zuo, X., Li, Z., and Wang, H. (2020). Applying deep learning to continuous bridge deflection detected by fiber optic gyroscope for damage detection. Sensors, 20.10.3390/s20030911 ↗
60. COST 323 Management Committee (1999). European Specification on Weigh-in-Motion of Road Vehicles (COST 323 WIM Specification, Version 3.0), European Commission.
61. Puppio, M.L., Pucci, A., and Sassu, M. (2025). The integrity of short-span bridges in the case of coastal floods: Monitoring strategies and an example. Infrastructures, 10.10.3390/infrastructures10040074 ↗
62. Garber, D., Helou, R., and Graybeal, B. (2024). Section Shapes for Short-Span UHPC Bridges, Federal Highway Administration. FHWA Report FHWA-RC-24-0009.
63. A drive-by inspection system via vehicle moving force identification10.12989/sss.2014.13.5.821 ↗
64. Dynamic interaction between heavy vehicles and highway bridges10.1016/S0045-7949(96)00198-8 ↗
65. Damping Properties of Highway Bridges in China10.1061/(ASCE)BE.1943-5592.0000578 ↗
66. (2016). Mechanical Vibration—Road Surface Profiles—Reporting of Measured Data (Standard No. ISO 8608:2016).
67. Simplified models for the location of cracks in beam structures using measured vibration data10.1006/jsvi.2001.3978 ↗
68. Crack modeling for structural health monitoring10.1177/1475921702001002002 ↗
69. Multidamage detection of breathing cracks in plate-like bridges: Experimental and numerical study10.1155/2024/8840611 ↗
70. Stiffness estimation of cracked beams based on nonlinear stress distributions near the crack10.1155/2018/5987973 ↗
71. Characterization of the road profile and the rotational stiffness of supports in a bridge based on axle accelerations of a crossing vehicle10.1111/mice.12974 ↗
72. A regularised solution to the bridge weigh-in-motion equations10.1504/IJHVS.2009.027135 ↗
73. A general solution to bridge weigh-in-motion equations based on maximum likelihood estimation10.1016/j.engstruct.2025.121193 ↗
74. Jensen, J., Frangopol, D.M., and Schmidt, F. (2024). Assessment of the accuracy of Bridge Weigh-In-Motion (B-WIM) system in Indonesia. Bridge Maintenance, Safety, Management, Digitalization and Sustainability, CRC Press.10.1201/9781003483755 ↗
75. Genuine influence line and influence surface identification from measured bridge response considering vehicular wheel loads10.1061/JBENF2.BEENG-5604 ↗
76. Wavelet domain analysis for identification of vehicle axles from bridge measurements10.1016/j.compstruc.2006.04.013 ↗
77. Twim, a MATLAB toolbox for real-time evaluation and monitoring of traffic loads on railway bridges10.1080/15732470701478370 ↗
78. Nothing-on-road bridge-weigh-in-motion used for long-span, concrete-box-girder bridges: An experimental case study
79. Probabilistic assessment of the sensitivity of direct and drive-by responses to stiffness loss in a bridge traversed by a vehicle10.1016/j.engstruct.2025.121164 ↗
80. The MathWorks, Inc. (2026, March 23). Lowpass Filter Signals. Available online: https://www.mathworks.com/help/signal/ref/lowpass.html.
81. Permanent installation of wireless structural monitoring systems in infrastructure systems