«上一篇/Previous Article|本期目录/Table of Contents|下一篇/Next Article»

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

卷:

39卷

期数:

2022年02期

页码:

119-127

栏目:

桥梁工程

出版日期:

2022-03-30

文章信息/Info

Title:

Numerical Analysis of Identifying Frequency and Vibration Mode of Rough Bridge by Articulated Vehicle Model

文章编号:

1673-2049(2022)02-0119-09

作者:

张文武¹,亓兴军²,肖志全²,亓 圣²,王珊珊¹

(1. 山东高速集团有限公司,山东 济南 250098; 2. 山东建筑大学 交通工程学院,山东 济南 250101)

Author(s):

ZHANG Wen-wu¹, QI Xing-jun², XIAO Zhi-quan², QI Sheng², WANG Shan-shan¹

(1. Shandong Hi-speed Group Co., Ltd., Jinan 250098, Shandong, China; 2. School of Transportation Engineering, Shandong Jianzhu University, Jinan 250101, Shandong, China)

关键词:

桥梁;  频率;  振型;  桥梁间接测量法;  铰接车辆模型

Keywords:

bridge;  frequency;  vibration mode;  bridge indirect measurement method;  articulated vehicle model

分类号:

TU375

DOI:

10.19815/j.jace.2021.05018

文献标志码:

A

摘要:

根据车桥耦合振动理论和桥梁间接测量法基本原理,对实际工程某连续梁桥建立桥梁模型,采用2辆单轴1/4车辆模型模拟测量车辆,1辆双轴半车模型模拟牵引车辆提供额外桥梁激励,三车前后铰接建立车辆模型。基于分离法原理与车辆动力学理论,利用约束方程实现任意时刻车轮与桥面接触点的位移协调关系,采用APDL编程实现铰接车辆过桥的耦合动力时程响应分析。提取前后测试车辆匀速通过不同等级粗糙桥面时车辆振动加速度时程响应,对通过桥梁同一位置处的前后测试车辆加速度数值进行相减处理并应用快速傅里叶变换识别桥梁频率。采用带通滤波技术与汉宁窗相结合的处理方法提取分离出与桥梁固有频率相关的桥频分量响应,利用桥频分量响应及其希尔伯特变换构造出与每阶固有频率相对应的振型。结果表明:在A、B、C级桥面不平整度条件下,采用铰接车辆模型识别出的桥梁前3阶频率相对误差均在1%以内; 对加速度时程响应数据加窗处理后识别出的桥梁前3阶振型MAC值均在0.95以上,满足工程精度需求; 研究结果可以为移动传感间接测量方法在桥梁检测工程中的应用提供理论参考。

Abstract:

According to the vehicle bridge coupling vibration theory and the basic principle of bridge indirect measurement method, a bridge model of a continuous beam bridge in practical engineering was established. Two single-axle 1/4 vehicle models were used to simulate the measurement vehicle, and one two-axle half-vehicle model was used to simulate the traction vehicle to provide additional bridge excitation.Three vehicles were hinged at the front and rear to establish the vehicle model. Based on the principle of separation method and vehicle dynamics theory, the displacement coordination relationship between wheel and bridge deck contact point at any time was realized by using constraint equation. The coupling dynamic time history response analysis of articulated vehicle crossing the bridge was realized by APDL programming. The time history response of vehicle vibration acceleration when the front and rear test vehicles passed through different levels of rough bridge deck at a uniform speed was extracted. The acceleration values of the front and rear test vehicles passing through the same position of the bridge were subtracted, and the bridge frequency was identified by fast Fourier transform. The bridge frequency component response related to the bridge natural frequency was extracted and separated by the combination of band-pass filtering technology and Hanning window. The vibration mode corresponding to each natural frequency was constructed by using the bridge frequency component response and its Hilbert transform. The results show that under the condition of class A, B and C deck roughness, the first three frequency errors of the bridge identified by the articulated vehicle model are all within 1%. After windowing the acceleration time history response data, the MAC values of the first three vibration modes of the bridge identified are more than 0.95, meeting the engineering accuracy requirements. The research results can provide a theoretical reference for the application of mobile sensor indirect measurement method in bridge detection engineering.

参考文献/References:

[1] FAN W,QIAO P Z.Vibration-based Damage Identification Methods:A Review and Comparative Study[J].Structural Health Monitoring,2011,10(1):83-111.
[2]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.
[3]杨永斌.非传统思维的桥梁监测法[J].桥梁,2015,66(4):34-36.
YANG Yong-bin.Bridge Non-traditional Monitoring Method[J].Bridge,2015,66(4):34-36.
[4]LIN C W,YANG Y B.Use of a Passing Vehicle to Scan the Fundamental Bridge Frequencies:An Experimental Verification[J].Engineering Structures,2005,27(13):1865-1878.
[5]ZHANG Y,WANG L Q,XIANG Z H.Damage Detection by Mode Shape Squares Extracted from a Passing Vehicle[J].Journal of Sound and Vibration,2012,331(2):291-307.
[6]ZHANG Y,LIE S T,XIANG Z H.Damage Detection Method Based on Operating Deflection Shape Curvature Extracted from Dynamic Response of a Passing Vehicle[J].Mechanical Systems and Signal Processing,2013,35(1/2):238-254.
[7]YANG Y B,LI Y C,CHANG K C.Constructing the Mode Shapes of a Bridge from a Passing Vehicle:A Theoretical Study[J].Smart Structures and Systems,2014,13(5):797-819.
[8]MALEKJAFARIAN A,OBRIEN E J.Identification of Bridge Mode Shapes Using Short Time Frequency Domain Decomposition of the Responses Measured in a Passing Vehicle[J].Engineering Structures,2014,81:386-397.
[9]MALEKJAFARIAN A,MCGETRICK P J,OBRIEN E J.A Review of Indirect Bridge Monitoring Using Passing Vehicles[J].Shock and Vibration,2015,2015:1-16.
[10]OBRIEN E J,MALEKJAFARIAN A.A Mode Shape-based Damage Detection Approach Using Laser Measurement from a Vehicle Crossing a Simply Supported Bridge[J].Structural Control and Health Monitoring,2016,23(10):1273-1286.
[11]OBRIEN E J,MALEKJAFARIAN A,GONZALEZ A.Application of Empirical Mode Decomposition to Drive-by Bridge Damage Detection[J].European Journal of Mechanics — A/Solids,2017,61:151-163.
[12]贾宝玉龙.梁式结构基于间接测量法的损伤识别方法研究[D].重庆:重庆大学,2016.
JIA Bao-yulong.Research on Damage Detection of Beam-type Structure by Using Bridge Indirect Measurement Method[D].Chongqing:Chongqing University,2016.
[13]QI Z Q,AU F T K.Identifying Mode Shapes of Girder Bridges Using Dynamic Responses Extracted from a Moving Vehicle Under Impact Excitation[J].International Journal of Structural Stability and Dynamics,2017,17(8):1750081.
[14]谢天宇.桥梁动态讯息间接测量法的多种工况分析研究[D].重庆:重庆大学,2017.
XIE Tian-yu.A Study on the Working Conditions Analysis for the Bridge Indirect Measurement Method[D].Chongqing:Chongqing University,2017.
[15]KONG X,CAI C S,KONG B.Damage Detection Based on Transmissibility of a Vehicle and Bridge Coupled System[J].Journal of Engineering Mechanics,2015,141(1):04014102.
[16]KONG X,CAI C S,KONG B.Numerically Extracting Bridge Modal Properties from Dynamic Responses of Moving Vehicles[J].Journal of Engineering Mechanics,2016,142(6):04016025.
[17]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.
[18]YANG Y B,YANG J P.State-of-the-art Review on Modal Identification and Damage Detection of Bridges by Moving Test Vehicles[J].International Journal of Structural Stability and Dynamics,2018,18(2):1850025.
[19]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 Wen-yu,HE Jian,REN Wei-xin.A Damage Localization Method Based on Indirectly Identified Mode Shapes[J].Journal of Vibration and Shock,2018,37(24):13-17.
[20]阳 洋,项 超,蒋明真,等.考虑粗糙度影响的桥梁损伤识别间接测量方法[J].中国公路学报,2019,32(1):99-106,126.
YANG Yang,XIANG Chao,JIANG Ming-zhen,et al.Bridge Damage Identification Method Considering Road Surface Roughness by Using Indirect Measurement Technique[J].China Journal of Highway and Transport,2019,32(1):99-106,126.
[21]阳 洋,蒋明真,王立磊,等.考虑粗糙度影响间接测量梁刚度的损伤识别方法参数研究[J].建筑结构学报,2019,40(6):147-154,174.
YANG Yang,JIANG Ming-zhen,WANG Li-lei,et al.Parametric Study on Stiffness Damage Identification Method of Bridge Considering Road Roughness[J].Journal of Building Structures,2019,40(6):147-154,174.
[22]CHANG K C,WU F B,YANG Y B.Effect of Road Surface Roughness on Indirect Approach for Measuring Bridge Frequencies from a Passing Vehicle[J].Interaction and Multiscale Mechanics,2010,3(4):299-308.
[23]ELHATTAB A,UDDIN N.Drive-by Bridge Damage Monitoring:Concise Review[J].Civil Engineering Research Journal,2017,1(1):555555.

相似文献/References:

[1]王艺霖,刘西拉,方从启.基于应变指标的桥梁损伤识别方法[J].建筑科学与工程学报,2011,28(02):62.
　WANG Yi-lin,LIU Xi-la,FANG Cong-qi.Bridge Damage Detection Method Based on Strain Index[J].Journal of Architecture and Civil Engineering,2011,28(02):62.
[2]王艺霖,刘西拉,方从启.桥梁损伤定位的差分曲率差值指标[J].建筑科学与工程学报,2012,29(03):68.
　WANG Yi-lin,LIU Xi-la,FANG Cong-qi.Damage Localization in Bridges Using Differential Curvature Difference Indicator[J].Journal of Architecture and Civil Engineering,2012,29(02):68.
[3]陈志为,陈 宇,吴 焜,等.BIM技术在桥梁承载力评定中的应用[J].建筑科学与工程学报,2018,35(05):101.
　CHEN Zhi-wei,CHEN Yu,WU Kun,et al.Application of BIM Technology in the Evaluation of Bridge Bearing Capacity[J].Journal of Architecture and Civil Engineering,2018,35(02):101.
[4]张文武,张荣凤,亓兴军,等.基于静动力模型修正的简支梁桥承载力评定方法[J].建筑科学与工程学报,2022,39(06):122.[doi:10.19815/j.jace.2021.07145]
　ZHANG Wen-wu,ZHANG Rong-feng,QI Xing-jun,et al.Simple-supported Beam Bridge Bearing Capacity Assessment Method Based on Static and Dynamic Model Modification[J].Journal of Architecture and Civil Engineering,2022,39(02):122.[doi:10.19815/j.jace.2021.07145]

备注/Memo

备注/Memo:

收稿日期:2021-05-11
基金项目:山东省交通运输厅科技计划项目(2020B69); 山东省高等学校土木结构防灾减灾协同创新中心项目(XTM201904)
作者简介:张文武(1981-),男,山东济宁人,高级工程师,工学硕士,E-mail:147849246@qq.com。通信作者:亓兴军(1974-),男,山东济南人,教授,工学博士,E-mail:qxj123@163.com。

常用功能

更新日期/Last Update: 2022-03-20