Earthquake Engineering and Engineering Vibration

, Volume 8, Issue 3, pp 399–407 | Cite as

Dynamic finite element model updating of prestressed concrete continuous box-girder bridge

  • Xiankun LinEmail author
  • Lingmi Zhang
  • Qintao Guo
  • Yufeng Zhang
Technical Papers


The dynamic finite element model (FEM) of a prestressed concrete continuous box-girder bridge, called the Tongyang Canal Bridge, is built and updated based on the results of ambient vibration testing (AVT) using a real-coded accelerating genetic algorithm (RAGA). The objective functions are defined based on natural frequency and modal assurance criterion (MAC) metrics to evaluate the updated FEM. Two objective functions are defined to fully account for the relative errors and standard deviations of the natural frequencies and MAC between the AVT results and the updated FEM predictions. The dynamically updated FEM of the bridge can better represent its structural dynamics and serve as a baseline in long-term health monitoring, condition assessment and damage identification over the service life of the bridge.


prestressed concrete continuous box-girder bridge field ambient vibration testing dynamic characteristics model updating accelerating genetic algorithm objective function 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Doebling SW, Farrar CR, Prime MB and Shevitz DW (1996), “Damage Identification and Health Monitoring of Dtructural and Mechanical Dystems from Changes in Their Vibration Characteristics: a Literature Review,” Research report LA-13070-MS, ESA-EA, Los Alamos National Laboratory, New Mexico, USA, May.Google Scholar
  2. Fei Qingguo, Li Aiqun and Zhang Lingmi (2005a), “Study on Finite Element Model Updating of Nonlinear Structures Using Neural Network,” Journal of Astronautics, 26(3): 267–269. (in Chinese)Google Scholar
  3. Fei Qingguo, Zhang Lingmi, Li Aiqun and Guo Qintao (2005b), “Finite Element Model Updating Using Statisics Analysis,” Journal of Vibration and Shock, 24(3): 23–26. (in Chinese)Google Scholar
  4. Fu Qiang and Zhao Xiaoyong (2006), Model of Projection Pursuit: Theory and Applications, Beijing: Science Press, 8: 35–38. (in Chinese)Google Scholar
  5. Goge and Link M (2003), “Results Obtained by Minimizing Natural Frequency and Mode Shape Errors of a Beam Model,” Mechanical Systems and Signal Processing, 17(1): 21–27.CrossRefGoogle Scholar
  6. Holland JH (1973), “Genetic Algorithms and Optimal Allocations of Trials,” SIAM Journal of Computing, 2: 88–105.CrossRefGoogle Scholar
  7. Holland JH (1992a), “Genetic Algorithms,” Scientific American, 4: 44–50.Google Scholar
  8. Holland JH (1992b), Adaptation in Nature and Artifical Systems, Ann Arbor MI: University of Michigan Press.Google Scholar
  9. Jaishi B, Kim Hyo-Jin, Kim Moon Kyum, Ren Weixin and Lee Sang-Ho (2007), “Finite Element Model Updating of Concrete-filled Steel Tubular Arch Bridge under Operational Condition Using Modal Flexibility,” Mechanical Systems and Signal Processing, 21: 2406–2426.CrossRefGoogle Scholar
  10. Mitsuo and Cheng Runwei (2004), Genetic Algorithms and Engineering Optimization, Beijing: Tsinghua University Press. (in Chinese)Google Scholar
  11. Mottershead JE and Friswell MI (1993), “Model Updating in Structural Dynamics: a Survey,” Journal of Sound andVibration, 167: 347–375.CrossRefGoogle Scholar
  12. Teuguels, Maeck J and Roeck GD (2002),“Damage Assessment by FE Model Updating Using Damage Functions,” Composite Structures, 80: 1869–1879.CrossRefGoogle Scholar
  13. Thonon and Golinval JC (2003), “Results Obtained by Minimizing Natural Frequency and MAC Value Errors of a Beam Model,” Mechanical Systems and Signal Processing, 17(1): 65–72.CrossRefGoogle Scholar
  14. Wang Tong and Zhang Lingmi (2006), “Frequency and Spatial Domain Decomposition for Operational Modal Analysis and Its Application,” Acta Aeronautica et Astronautica Sinica, 27(1): 62–66. (in Chinese)Google Scholar
  15. Xia Pinqi and James M W Brownjohn (2003), “Finite Element Modeling and Model Updating of a Cable-Stayed Bridge,” Journal of Vibration Engineering, 16(2): 119–223. (in Chinese)Google Scholar
  16. Yu Ling, Wan Zuyong, Zhu Hongping and Xu Deyi (2006), “Structural Model Updating and Damage Detection Through Particle Swarm Optimization,” Journal of Vibration and Shock, 25(5): 37–39. (in Chinese)Google Scholar
  17. Zhang LM, Wang T and Tamura Y (2005), “Frequencyspatial Domain Decomposition Technique with Application to Operational Modal Analysis of Civil Engineering Structures,” IOMAC, Copenhagen, Denmark, April, 2005.Google Scholar
  18. Zhou Xingde, Ming Baohua, Pan Ruihong and Zhou Jin (2007), “Research on Modification of Model Reduction Based on Genetic Algorithms,” Journal of Vibration, Measurement & Diagnosis, 27(1): 25–28. (in Chinese)Google Scholar
  19. Zhu Jinsong and Xiao Rucheng (2006), “Damage Identification of a Large-span Concrete Cable-stayed Bridge Based on Genetic Algorithm,” China Civil Engineering Journal, 5: 85–89.Google Scholar

Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration and Springer Berlin Heidelberg 2009

Authors and Affiliations

  • Xiankun Lin
    • 1
    Email author
  • Lingmi Zhang
    • 1
  • Qintao Guo
    • 2
  • Yufeng Zhang
    • 3
  1. 1.Institute of Vibration EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.College of Mechanical and Electrical EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  3. 3.Jiangsu Transportation Research InstituteNanjingChina

Personalised recommendations