|Table of Contents|

Theoretical study on bridge frequency identification with arbitrary boundary condition using vehicle scanning method(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2026年02期
Page:
130-140
Research Field:
桥隧工程
Publishing date:

Info

Title:
Theoretical study on bridge frequency identification with arbitrary boundary condition using vehicle scanning method
Author(s):
SHI Kang1;  DENG Jinrui1;  MO Xiangqian1;  YANG Yongbin1; 2;  DENG Deshuai1
(1. School of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. School of Civil and Hydraulic Engineering, Chongqing University of Science and Technology, Chongqing 401331, China)
Keywords:
bridge engineering;  frequency identification;  theoretical derivation;  vehicle scanning method;  arbitrary constraint
PACS:
U446.3
DOI:
10.19815/j.jace.2024.10092
Abstract:
In order to truly simulate the boundary conditions of the bridge, a mechanical model using the vertical and rotational springs to simulate the arbitrary boundary conditions at both ends of the bridge was proposed, and the theory based on the vehicle scanning method to identify the bridge frequencies under arbitrary constraints at both ends was proposed. Firstly, the analytical solutions of the vibration response of bridges, vehicles and contact points were derived, and the method to solve the frequency transcendental equation and the explicit expression of the mode function under arbitrary boundary conditions were given. Then, the correctness of the theoretical derivation was verified by comparative analysis. It was proved that the analytical solution could automatically degenerate to the classical boundary conditions i.e., simply supported, cantilever, fixed, etc., according to the given stiffness of the spring at both ends. Finally, the influences of spring support stiffness, vehicle speed, bridge damping ratio and road roughness on the identification frequencies were discussed systematically. The results show that the analytical solution can be applied to any bridge boundary conditions, and the vehicle-bridge coupling dynamic response analysis under any boundary can be realized. The proposed method has strong robustness in identifying bridge frequency. The first several frequencies of the bridge can be well identified under various support stiffness, bridge damping ratios, and running speeds(less than 10 m·s-1). Pavement roughness has a great influence on bridge frequency identification, but the residual response of contact point can eliminate the interference of pavement roughness to a great extent. The study further enriches the theoretical background of vehicle scanning method and can provide technical reference for bridge rapid detection.

References:

[1] HE X H, SHI K, WU T. An integrated structural health monitoring system for the Xijiang high-speed railway arch bridge[J]. Smart Structures and Systems, 2018, 21(5): 611-621.
[2]余钱华,廖师贤.弹性网络正则化移动荷载识别试验研究[J].交通科学与工程,2022,38(3):57-63.
YU Qianhua, LIAO Shixian. Experimental study on moving force identification based on elastic network regularization[J]. Journal of Transport Science and Engineering, 2022, 38(3): 57-63.
[3]马亚飞,汤 洋,李 祚,等.基于混沌粒子群随机子空间的桥梁多点损伤识别[J].交通科学与工程,2023,39(6):12-23.
MA Yafei, TANG Yang, LI Zuo, et al. Multi-point damage identification of bridge based on chaotic particle swarm stochastic subspace[J]. Journal of Transport Science and Engineering, 2023, 39(6): 12-23.
[4]YANG Y B, LIN C W, YAU J D. Extracting bridge frequencies from the dynamic response of a passing vehicle[J]. Journal of Sound and Vibration, 2004, 272(3/4/5): 471-493.
[5]YANG Y B, MO X Q, SHI K, et al. Scanning torsional-flexural frequencies of thin-walled box girders with rough surface from vehicles' residual contact response: theoretical study[J]. Thin-walled Structures, 2021, 169: 108332.
[6]SHI K, MO X Q, XU H, et al. Furthering extraction of torsional-flexural frequencies for thin-wall beams from the rocking motion of a two-wheel test vehicle[J]. Thin-walled Structures, 2022, 175: 109224.
[7]张文武,亓兴军,肖志全,等.铰接车辆模型识别粗糙桥梁频率和振型的数值分析[J].建筑科学与工程学报,2022,39(2):119-127.
ZHANG Wenwu, QI Xingjun, XIAO Zhiquan, et al. Numerical analysis of identifying frequency and vibration mode of rough bridge by articulated vehicle model[J]. Journal of Architecture and Civil Engineering, 2022, 39(2): 119-127.
[8]YANG Y B, MO X Q, SHI K, et al. Bridge frequency identification using multi-contact responses computed from multi-DOF moving vehicle by nodal distribution method and enhanced integration algorithm[J]. Computers & Structures, 2024, 299: 107397.
[9]贺文宇,丁绪聪,任伟新.环境激励下移动车辆对桥梁模态参数识别的影响研究[J].振动与冲击,2021,40(3):48-53.
HE Wenyu, DING Xucong, REN Weixin. Effects of moving vehicle on bridge modal parametric identification under ambient excitation[J]. Journal of Vibration and Shock, 2021, 40(3): 48-53.
[10]KONG X, CAI C S, DENG L, et al. Using dynamic responses of moving vehicles to extract bridge modal properties of a field bridge[J]. Journal of Bridge Engineering, 2017, 22(6): 04017018.
[11]陈 诚,张 静,杜昌骏,等.基于双车接触点响应残差的桥梁模态参数识别方法研究[J].工程力学,2025,42(1):199-208.
CHEN Cheng, ZHANG Jing, DU Changjun, et al. Bridge modal parameters identification based on the contact point response residues of two vehicles[J]. Engineering Mechanics, 2025, 42(1): 199-208.
[12]KEENAHAN J, OBRIEN E J, MCGETRICK P J, et al. The use of a dynamic truck-trailer drive-by system to monitor bridge damping[J]. Structural Health Monitoring, 2014, 13(2): 143-157.
[13]YANG Y B, SHI K, WANG Z L, et al. Using a single-DOF test vehicle to simultaneously retrieve the first few frequencies and damping ratios of the bridge[J]. International Journal of Structural Stability and Dynamics, 2021, 21(8): 2150108.
[14]阳 洋,许文明,卢会城,等.基于车桥耦合理论的梁式桥阻尼比识别研究[J].力学学报,2022,54(5):1387-1402.
YANG Yang, XU Wenming, LU Huicheng, et al. Research on damping ratio identification of beam bridge based on vehicle bridge coupling theory[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1387-1402.
[15]HE W Y, REN W X, ZHU S Y. Baseline-free damage localization method for statically determinate beam structures using dual-type response induced by quasi-static moving load[J]. Journal of Sound and Vibration, 2017, 400: 58-70.
[16]贺文宇,何 健,任伟新.基于间接法识别的桥梁振型的损伤定位方法[J].振动与冲击,2018,37(24):13-17.
HE Wenyu, HE Jian, REN Weixin. A damage localization method based on indirectly identified mode shapes[J]. Journal of Vibration and Shock, 2018, 37(24): 13-17.
[17]阳 洋,梁晋秋,袁爱鹏,等.基于桥梁单元刚度损伤识别的新型间接量测方法研究[J].中国公路学报,2021,34(2):188-198.
YANG Yang, LIANG Jinqiu, YUAN Aipeng, et al. Bridge element bending stiffness damage identification based on new indirect measurement method[J]. China Journal of Highway and Transport, 2021, 34(2): 188-198.
[18]XU H, HUANG C C, WANG Z L, et al. Damped test vehicle for scanning bridge frequencies: theory, simulation and experiment[J]. Journal of Sound and Vibration, 2021, 506: 116155.
[19]SHI Z H, UDDIN N. Theoretical vehicle bridge interaction model for bridges with non-simply supported boundary conditions[J]. Engineering Structures, 2021, 232: 111839.
[20]COLMENARES D, ANDERSSON A, KAROUMI R. Closed-form solution for mode superposition analysis of continuous beams on flexible supports under moving harmonic loads[J]. Journal of Sound and Vibration, 2022, 520: 116587.
[21]ZIBDEH H S, RACHWITZ R. Moving loads on beams with general boundary conditions[J]. Journal of Sound and Vibration, 1996, 195(1): 85-102.
[22]ABU-HILAL M, MOHSEN M. Vibration of beams with general boundary conditions due to a moving harmonic load[J]. Journal of Sound and Vibration, 2000, 232(4): 703-717.
[23]ABU-HILAL M, ZIBDEH H S. Vibration analysis of beams with general boundary conditions traversed by a moving force[J]. Journal of Sound and Vibration, 2000, 229(2): 377-388.
[24]SVEDHOLM C, ZANGENEH A, PACOSTE C, et al. Vibration of damped uniform beams with general end conditions under moving loads[J]. Engineering Structures, 2016, 126: 40-52.
[25]DI MATTEO A. Dynamic response of beams excited by moving oscillators: approximate analytical solutions for general boundary conditions[J]. Computers & Structures, 2023, 280: 106989.
[26]YANG Y B, MO X Q, SHI K, et al. Contact residue for simultaneous removal of vehicle's frequency and surface roughness in scanning bridge frequencies using two connected vehicles[J]. International Journal of Structural Stability and Dynamics, 2021, 21(13): 2171006.

Memo

Memo:
-
Last Update: 2026-04-01