Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (1): 225-232.doi: 10.13229/j.cnki.jdxbgxb20200451

Previous Articles    

Analysis of free vibration characteristics of cracked box girder bridge based on finite element method

Qing-wen KONG1(),Guo-jin TAN1,Long-lin WANG2(),Yong WANG3,Zhi-gang WEI4,Han-bing LIU1   

  1. 1.College of Transportation，Jilin University，Changchun 130022，China
    2.Guangxi Transportation Science and Technology Group Co. ，Ltd. ，Nanning 530007，China
    3.Jilin Provincial Highway Administration，Changchun 130021，China
    4.Jilin Provincial High Class Highway Construction Bureau，Changchun 130033，China
  • Received:2020-05-06 Online:2021-01-01 Published:2021-01-20
  • Contact: Long-lin WANG E-mail:kongqw18@mails.jlu.edu.cn;wangll18577888161@gmail.com

RICH HTML

 2   

PDF (PC)

333

Abstract:

The free vibration characteristics of cracked box girder bridges were analyzed in this paper. Firstly， the additional flexibility matrices of box girder in the cases of deep crack and shallow crack were derived based on the basic principle of local flexibility formation， and the stiffness matrix of cracked beam element was obtained， and then the free vibration characteristic analysis method of cracked box girder bridge based on finite element method was formed. Next， the dynamic characteristics of the cracked cantilever steel beam were tested， and the experimental results were compared with the natural frequency calculation results to verify the accuracy and reliability of the proposed method. Finally， the numerical analysis of continuous reinforced concrete box girder was carried out， and the influence of crack location， depth and number on the natural frequency of box girder bridge and the influence of crack on vibration mode were analyzed.

Key words: bridge engineering, box section beam bridge, crack, free vibration characteristics

CLC Number: 

  • U446

Fig.1

Cracked beam element"

Fig.2

Box cross section with cracks"

Fig.3

Geometric dimensions of cantilever steel beam"

Fig.4

Box section beam test site"

Fig.5

Change rate of the first second order natural frequency of steel cantilever beam"

Fig.6

Bridge elevation (unit: cm)"

Fig.7

Cross section of bridge (unit: cm)"

Fig.8

Change rate of the first two-order natural frequency of the steel cantilever beam"

Fig.9

Change rate of the first two-order natural frequency of continuous box girder bridge"

Fig.10

The first two-order mode shape of continuous box girder bridge"

1 程永春,谭国金,刘寒冰,等. 基于特征解统计特性的桥梁损伤识别[J]. 吉林大学学报: 工学版, 2008, 37(4): 812-816.
Cheng Yong-chun,Tan Guo-jin,Liu Han-bing, et al. Damage identification of bridge structure based on statistical properties of eigen-solution[J]. Journal of Jilin University (Engineering and Technology Edition), 2008, 37(4): 812-816.
2 程永春,谭国金,刘寒冰, 等. 车辆作用下的公路简支梁桥测试频率[J]. 吉林大学学报: 工学版, 2009, 39(6): 1492-1496.
Cheng Yong-chun,Tan Guo-jin,Liu Han-bing, et al. Test frequencies freely supported beam of highway bridge under effect of vehicles[J]. Journal of Jilin University (Engineering and Technology Edition), 2009, 39(6): 1492-1496.
3 Torabi K, Afshari H, Aboutalebi, F H. A DQEM for transverse vibration analysis of multiple cracked non-uniform Timoshenko beams with general boundary conditions[J]. Computers and Mathematics with Applications, 2014, 67(3): 527-541.
4 Zheng T, Ji T. An approximate method for determining the static deflection and natural frequency of a cracked beam[J]. Journal of Sound and Vibration, 2012, 331(11): 2654-2670.
5 Tan G J, Shan J H, Wu C L, et al. Direct and inverse problems on free vibration of cracked multiple I-section beam with different boundary conditions[J]. Advances in Mechanical Engineering, 2011, 9(11): 1-17.
6 Tan G J, Liu Y, Gong Y F, et al. Free vibration of the cracked non-uniform beam with cross section varying as polynomial functions[J]. KSCE Journal of Civil Engineering, 2018, 22(11): 4530-4546.
7 Ostachowicz W M, Krawczuk M. Analysis of the effect of cracks on the natural frequencies of a cantilever beam[J]. Journal of Sound and Vibration, 1991, 150(2): 191-201.
8 Shifrin E I, Ruotolo T. Natural frequencies of a beam with an arbitrary number of cracks[J]. Journal of Sound and vibration, 1999, 222(3): 409-423.
9 Abdel W M, Roeck G D, Peeters B. Parameterization of damage in reinforced concrete structures using modal updating[J]. Journal of Sound and Vibration, 1999, 228(4): 717-730.
10 Yin X F, Liu Y, Kong B. Vibration behaviors of a damaged bridge under moving vehicular loads[J]. Structural Engineering and Mechanics, 2016, 58(2): 199-216.
11 Law S S, Zhu X Q. Dynamic behavior of damaged concrete bridge structures under moving vehicular loads[J]. Engineering Structures, 2004, 26( 9): 1279-1293.
12 Lin H P. Direct and inverse methods on free vibration analysis of simply supported beams with a crack[J]. Engineering Structures, 2004, 26(4): 427-436.
13 Attar M. A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions[J]. International Journal of Mechanical Sciences, 2012, 57(1): 19-33.
14 Tan G J, Shan J H, Wu C L andet al. Free vibration analysis of cracked Timoshenko beams carrying spring-mass systems[J]. Structural Engineering and Mechanics, 2017, 63(4): 551-565.
15 Zheng D Y, Kessissoglou N J. Free vibration analysis of a cracked beam by finite element method[J]. Journal of Sound and Vibration, 2004, 273(3): 457-475.
16 Qian G L, Gu S N, Jiang J S. The dynamic behavior and crack detection of a beam with a crack[J]. Journal of Sound and Vibration, 1990, 138(2): 233-243.
17 Nguyen K V. Mode shapes analysis of a cracked beam and its application for crack detection[J]. Journal of Sound and Vibration, 2014, 333(3): 848-872.
18 Dimarogonas A D, Papadopoulos C A. Vibration of cracked shafts in bending[J]. Journal of Sound and Vibration, 1983, 91(4): 583-593.
19 Tada H, Paris P C, Irwin G R. The Stress Analysis of Cracks Handbook[M]. New York: ASME Press, 2000.
20 Kisa M, Brandon J. The effects of closure of cracks on the dynamics of a cracked cantilever beam[J]. Journal of Sound and Vibration, 2000, 238(1): 1-18.
21 Cheng W L. Determination of the mode I stress intensity factors for an edge-cracked beam with fixed ends[J]. Engineering Fracture Mechanics, 1999,63(2): 193-208.
22 Zienkiewicz O C, Taylor R L. The Finite Element Method[M]. 4th edNew York: McGraw-Hill, 1988.
[1] Hua CHEN,Yao-jia CHEN,Bin XIE,Peng-kai WANG,Lang-ni DENG. Interface failure mechanism and bonding strength calculation of CFRP tendons bonded anchorage system [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(5): 1698-1708.
[2] Ya-feng GONG,Jia-xiang SONG,Hai-peng BI,Guo-jin TAN,Guo-hai HU,Si-yuan LIN. Static test and finite element analysis of scale model of fabricated box culvert [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(5): 1728-1738.
[3] Hao GAO,Jun-jie WANG,Hui-jie LIU,Jian-ming WANG. Design criterion and applied devices for controlled seismic behavior of continuous girder bridges [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(5): 1718-1727.
[4] Qian-hui PU,Jing-wen LIU,Gang-yun ZHAO,Meng YAN,Xiao-bin LI. Theoretical analysis of bearing capacity of concrete eccentric compressive column reinforced by HTRCS [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 606-612.
[5] Yun-long ZHANG,Yang-yang GUO,Jing WANG,Dong LIANG. Natural frequency and mode of vibration of steel⁃concrete composite beam [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 581-588.
[6] Bo-xin WANG,Hai-tao YANG,Qing WANG,Xin GAO,Xiao-xu CHEN. Bridge vibration signal optimization filtering method based on improved CEEMD⁃multi⁃scale permutation entropy analysis [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(1): 216-226.
[7] Miao ZHANG,Yong-jiu QIAN,Fang ZHANG,Shou-qin ZHU. Experimental analysis of spatial force performance of concrete-reinforced stone arch bridge based on enlarged section method [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(1): 210-215.
[8] Sheng-tong DI,Chao JIA,Wei-guo QIAO,Kang LI,Kai TONG. Loading rate effect of meso⁃damage characteristics of crumb rubber concrete [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1900-1910.
[9] Yi JIA,Ren-da ZHAO,Yong-bao WANG,Fu-hai LI. Sensitivity analysis of viscous damper parameters for multi⁃span and long⁃unit continuous girder bridges [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1871-1883.
[10] Chun-ling ZHONG,Dong LIANG,Yun-long ZHANG,Jing WANG. Calculation of natural vibration frequency of simply supported beam strengthened by external prestressing [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1884-1890.
[11] Yi-lun LIU,Qing WANG,Chi LIU,Song-bai LI,Jun HE,Xian-qiong ZHAO. Effect of creep and artificial aging on fatigue crack growth performance of 2524 aluminum alloy [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1636-1643.
[12] Lun-hua BAI,Rui-li SHEN,Xing-biao ZHANG,Lu WANG. In-plane stability of self-anchored suspension bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1500-1508.
[13] Jin⁃gang ZHAO,Ming ZHANG,Yu⁃lin ZHAN,Ming⁃zhi XIE. Damage criterion of reinforced concrete pier based on plastic strain energy density [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1124-1133.
[14] Shi⁃cheng WAN,Qiao HUANG,Jian GUAN,Zhao⁃yuan GUO. Strengthening of continuous steel⁃concrete composite beams in negative moment region using prestressed carbon fiber⁃reinforced polymer plates [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1114-1123.
[15] Kai⁃yu LUO,Yue⁃hua XING,Qing⁃feng CHAI,Shi⁃kai WU,Ye⁃fang YIN,Jin⁃zhong LU. Effects of laser shock peening on corrosion fatigue behaviour of 2Cr13 stainless steel [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 850-858.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd