Dynamic Identification of A Cable-Stayed Bridge Induced by Random Traffic Flow

Monika NAPIERAJ; Piotr GÓRSKI

doi:10.2478/acee-2025-0040

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Dynamic Identification of A Cable-Stayed Bridge Induced by Random Traffic Flow

Architecture, Civil Engineering, Environment

Volume 18 (2025): Issue 3 (September 2025)

By: Monika NAPIERAJ and Piotr GÓRSKI

Open Access

|Sep 2025

Figures & Tables

Basic dimensions of the Rheinbrücke Maxau bridge

Schematic cross-section of the bridge deck slab [18]

Location of the measurement points on the bridge girders during the tests

Variability of the 10-min averaged values of the first three natural frequencies of the bridge-vehicle system recorded at the reference point

10 min-averaged PSDs of daily traffic-induced vertical accelerations of the bridge

10-min averaged RMS levels and kurtosis values of bridge accelerations recorded at the reference point

Vertical acceleration time history and their 10-min averaged PSD at the reference point

Charts of singular values of decomposed PSD matrices of traffic-induced bridge vibrations recorded at the reference point and points No. 3', 4', and 3"

Normalized mode shapes, their theoretical approximation, and corresponding modal frequencies identified by the FDD technique

Normalized RD signatures of vertical bridge accelerations collected during a 60-min measurement cycle (first row) and linear regression on the extremes of these signatures (second row)

Statistical data on modal frequencies of the bridge-vehicle system determined by the FDD method

Mode No.	Mean modal frequency f_FDD [Hz]	Range of modal frequencies f_min - f _max [Hz]	Dominant [Hz]	Standard deviation σ [Hz]	Max. relative variation fmax-fminfFDD[%]{{{{\rm{f}}_{\max }}{\rm{ - }}{{\rm{f}}_{\min }}} \over {{{\rm{f}}_{{\rm{FDD}}}}}}[\% ]	Variability factor σfFDD[%]{\sigma \over {{{\rm{f}}_{{\rm{FDD}}}}}}[\% ]
1	0.511	0.507-0.517	0.507	0.004	2.11	0.8048
2	1.038	1.032-1.047	1.035	0.013	1.46	1.2733
3	1.391	1.376-1.404	1.389	0.017	1.98	1.2172
4	1.480	1.471-1.489	1.489	0.046	1.24	3.0779
5	2.046	2.023-2.069	2.023	0.022	2.24	1.0929

Natural frequencies of the bridge-vehicles system determined by the RDM method and statistical data of the modal damping ratios

Mode No.	Mean modal frequency f_RDM [Hz]	Mean damping ratio ξ¯[%]\bar \xi [\% ]	Range of damping ratio ξ_min- ξ_max [%]	Standard deviation Σ	Max. relative variation ξmax−ξminξ[%]{{{\xi _{\max }} - {\xi _{\min }}} \over \xi }[\% ]	Variability factor σξ[%]{\sigma \over \xi }[\% ]
1	0.514	2.35	1.84-2.69	0.32	36.17	13.62
2	1.032	1.62	1.44-1.94	0.17	30.78	10.49
3	1.377	1.42	1.29-1.55	0.10	18.35	7.04
4	1.494	3.61	2.90-4.13	0.42	34.12	11.63
5	2.046	1.68	1.25-1.98	0.32	43.45	19.13

Comparison of the average natural (fFDD, fRDM) and forced (fPP) vibration frequency values of the bridge-vehicle system determined using different techniques

Mode No.	Mean vibration frequency fPP [Hz]	Mean modal frequency f_FDD [Hz]	Mean modal frequency f_RDM [Hz]	Relative variation fFDD−fPPfPP·100[%]{{{{\rm{f}}_{{\rm{FDD}}}} - {{\rm{f}}_{{\rm{PP}}}}} \over {{{\rm{f}}_{{\rm{PP}}}}}}\cdot100[\% ]	Relative variation fRDM−fPPfPP·100[%]{{{{\rm{f}}_{{\rm{RDM}}}} - {{\rm{f}}_{{\rm{PP}}}}} \over {{{\rm{f}}_{{\rm{PP}}}}}}\cdot100[\% ]
1	0.513	0.511	0.514	-0.39	0.19
2	1.033	1.038	1.032	0.48	-0.10
3	1.389	1.391	1.377	0.14	-0.86
4	1.489	1.480	1.494	-0.60	0.34
5	2.046	2.046	2.046	0.00	0.00

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DOI: https://doi.org/10.2478/acee-2025-0040 | Journal eISSN: 2720-6947 | Journal ISSN: 1899-0142

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Language: English

Page range: 191 - 203

Submitted on: May 11, 2025

Accepted on: Aug 24, 2025

Published on: Sep 30, 2025

Published by: Silesian University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Cable-stayed bridge,

In-situ measurement,

Dynamic characteristics,

Random traffic flow,

Modal analysis techniques

Related subjects:

Architecture and design,

Architecture,

Architects, buildings

© 2025 Monika NAPIERAJ, Piotr GÓRSKI, published by Silesian University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 18 (2025): Issue 3 (September 2025)

Dynamic Identification of A Cable-Stayed Bridge Induced by Random Traffic Flow

Figures & Tables

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Statistical data on modal frequencies of the bridge-vehicle system determined by the FDD method

Natural frequencies of the bridge-vehicles system determined by the RDM method and statistical data of the modal damping ratios

Comparison of the average natural (fFDD, fRDM) and forced (fPP) vibration frequency values of the bridge-vehicle system determined using different techniques

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