Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 514872, 22 pages
http://dx.doi.org/10.1155/2014/514872
Research Article

Dynamic Responses of Simply Supported Girder Bridges to Moving Vehicular Loads Based on Mathematical Methods

1School of Transportation Science and Engineering, Harbin Institute of Technology, Harbin 150090, China
2Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576
3Zhejiang Provincial Institute of Communications Planning, Design and Research, Hangzhou 310000, China

Received 30 June 2014; Revised 18 August 2014; Accepted 19 August 2014; Published 29 September 2014

Academic Editor: Jun Cheng

Copyright © 2014 Qingfei Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. G. M. Neves, A. F. M. Azevedo, and R. Calçada, “A direct method for analyzing the vertical vehicle-structure interaction,” Engineering Structures, vol. 34, pp. 414–420, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. L. Frýba, Vibration of Solids and Structures under Moving Loads, Thomas Telford, Prague, Czech Republic, 1972.
  3. J. E. Akin and M. Mofid, “Numerical solution for response of beams with moving mass,” Journal of Structural Engineering, vol. 115, no. 1, pp. 120–131, 1989. View at Publisher · View at Google Scholar · View at Scopus
  4. A. H. Fuller, “Impact in highway bridges,” Transactions of ASCE, vol. 95, pp. 56–62, 1929. View at Google Scholar
  5. R. Cantieni, Dynamic Load Tests on Highway Bridges in Switzerland-60 Years Experience of EMPA, EMPA, Dübendorf, Switzerland, 1983.
  6. J. R. Billing and R. Green, “Design provisions for dynamic loading of highway bridges,” Transportation Research Record, vol. 950, pp. 94–103, 1984. View at Google Scholar
  7. C. H. Wang, Study on the impact force acted on highway bridges by moving vehicle loads [PhD thesis], Harbin Institute of Technology, Harbin, China, 2007.
  8. H. Jung, G. Kim, and C. Park, “Impact factors of bridges based on natural frequency for various superstructure types,” KSCE Journal of Civil Engineering, vol. 17, no. 2, pp. 458–464, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. W. H. Walker and A. S. Veletsos, Response of Simple-Span Highway Bridges to Moving Vehicles, University of Illinois Engineering Experiment Station, University of Illinois at Urbana-Champaign, Champaign, Ill, USA, 1963.
  10. J. A. Nieto-Ramírez and A. S. Veletsos, Response of Three-Span Continuous Highway Bridges to Moving Vehicles, University of Illinois Engineering Experiment Station, University of Illinois at Urbana-Champaign, Urbana, Ill, USA, 1966.
  11. T.-L. Wang, D. Huang, and M. Shahawy, “Dynamic response of multigirder bridges,” Journal of Structural Engineering, vol. 118, no. 8, pp. 2222–2238, 1992. View at Publisher · View at Google Scholar · View at Scopus
  12. K. Henchi, M. Fafard, M. Talbot, and G. Dhatt, “An efficient algorithm for dynamic analysis of bridges under moving vehicles using a coupled modal and physical components approach,” Journal of Sound and Vibration, vol. 212, no. 4, pp. 663–683, 1998. View at Publisher · View at Google Scholar · View at Scopus
  13. W. H. Guo and Y. L. Xu, “Fully computerized approach to study cable-stayed bridge-vehicle interaction,” Journal of Sound and Vibration, vol. 248, no. 4, pp. 745–761, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. L. Kwasniewski, H. Li, J. Wekezer, and J. Malachowski, “Finite element analysis of vehicle-bridge interaction,” Finite Elements in Analysis and Design, vol. 42, no. 11, pp. 950–959, 2006. View at Publisher · View at Google Scholar · View at Scopus
  15. L. Deng and C. S. Cai, “Development of dynamic impact factor for performance evaluation of existing multi-girder concrete bridges,” Engineering Structures, vol. 32, no. 1, pp. 21–31, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. N. Zhang and H. Xia, “Dynamic analysis of coupled vehicle-bridge system based on inter-system iteration method,” Computers and Structures, vol. 114-115, pp. 26–34, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. D. B. Ashebo, Evaluation of dynamic loads for highway bridges [Ph.D. thesis], The Hong Kong Polytechnic University, Hong Kong, 2006.
  18. J. T. Gaunt and C. D. Sutton, Highway Bridge Vibration Studies, Purdue University, West Lafayette, Ind, USA, 1981.
  19. W.-S. Yoo, C.-H. Lee, W.-B. Jeong, and S.-H. Kim, “Development and application of new evaluation system for ride comfort and vibration on railway vehicles,” Journal of Mechanical Science and Technology, vol. 19, no. 7, pp. 1469–1477, 2005. View at Publisher · View at Google Scholar · View at Scopus
  20. S. Živanović, A. Pavic, and P. Reynolds, “Vibration serviceability of footbridges under human-induced excitation: a literature review,” Journal of Sound and Vibration, vol. 279, no. 1-2, pp. 1–74, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. C. W. Roeder, K. Barth, and A. Bergman, Improved Live Load Deflection Criteria for Steel Bridges, Transportation Research Board, Washington, DC, USA, 2002.
  22. K. Youcef, T. Sabiha, D. El Mostafa, D. Ali, and M. Bachir, “Dynamic analysis of train-bridge system and riding comfort of trains with rail irregularities,” Journal of Mechanical Science and Technology, vol. 27, no. 4, pp. 951–962, 2013. View at Publisher · View at Google Scholar · View at Scopus
  23. L. Frýba, Vibration of Solids and Structures under Moving Loads, Thomas Telford, Prague, Czech Republic, 3rd edition, 1999.
  24. A. N. Krylov, Mathematical Collection of Papers of the Academy of Sciences, vol. 61, Matematischeskii Sbornik Akademii Nauk, 1905.
  25. S. P. Timoshenko, “Forced vibration of prismatic bars,” Izvestiya Kievskogo Politekhnicheskogo Instituta, no. 59, pp. 163–203, 1908 (Russian). View at Google Scholar
  26. S. C. E. Inglis, A Mathematical Treatise on Vibrations in Railway Bridges, The University Press, Cambridge, Mass, USA, 1934.
  27. V. Koloušek and R. F. McLean, Dynamics in Engineering Structures, Butterworths, 1973.
  28. X. D. Shao, X. Y. Cheng, and L. F. Li, Bridge Design & Computation, China Communication Press, Beijing, China, 2007.
  29. K. A. Deng, Dynamic response of certain types of highway bridges to moving vehicles [Ph.D. thesis], University of Ottawa, Ottawa, Canada, 1998.
  30. A. K. Chopra, Dynamics of Structures, Prentice Hall, Bakersfield, Calif, USA, 4th edition, 2011.
  31. T. D. Gillespie, “Fundamentals of Vehicle Dynamics,” SAE Technical Paper, Washington, DC, USA, 1992. View at Google Scholar
  32. Y. F. Song, Dynamics of Highway Bridges, China Communication Press, Beijing, China, 2000, (Chinese).
  33. G. Strang and K. Aarikka, Introduction to Applied Mathematics, Wellesley-Cambridge, Wellesley, Mass, USA, 1986. View at MathSciNet
  34. J. Cheng, H. Zhu, S. Zhong, Y. Zeng, and X. Dong, “Finite-time H control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals,” ISA Transactions, vol. 52, no. 6, pp. 768–774, 2013. View at Publisher · View at Google Scholar · View at Scopus
  35. J. W. Cao, “Improved delay-dependent stability conditions for mimo networked control systems with nonlinear perturbations,” The Scientific World Journal, vol. 2014, Article ID 196927, 4 pages, 2014. View at Publisher · View at Google Scholar
  36. D. Huang, “Vehicle-induced vibration of steel deck arch bridges and analytical methodology,” Journal of Bridge Engineering, vol. 17, no. 2, pp. 241–248, 2012. View at Publisher · View at Google Scholar · View at Scopus
  37. J. Cheng, H. Zhu, Y. Ding, S. Zhong, and Q. Zhong, “Stochastic finite-time boundedness for Markovian jumping neural networks with time-varying delays,” Applied Mathematics and Computation, vol. 242, pp. 281–295, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  38. S. Jerath and S. Gurav, “Road surface roughness generation by power spectral density in bridge design,” in Proceedings of the Structures Congress, pp. 1–7, 2008.
  39. H. Honda, Y. Kajikawa, and T. Kobori, “Spectra of road surface roughness on bridges,” Journal of the Structural Division, vol. 108, no. 9, pp. 1956–1966, 1982. View at Google Scholar · View at Scopus
  40. E. S. Hwang and A. S. Nowak, “Simulation of dynamic load for bridges,” Journal of Structural Engineering, vol. 117, no. 5, pp. 1413–1434, 1991. View at Google Scholar
  41. Q. F. Gao, Z. L. Wang, B. Q. Guo, H. R. Bu, and W. Xiong, “Design on dynamic performance of highway bridges to moving vehicular loads,” Key Engineering Materials, vol. 574, pp. 43–51, 2014. View at Google Scholar
  42. B. Q. Guo, Study on driving comfort of cable-stayed bridges with moving vehicles [Master, thesis], Harbin Institute of Technology, Harbin, China, 2013.
  43. R. Mee, A Comprehensive Guide to Factorial Two-Level Experimentation, Springer, Berlin, Germany, 2009.
  44. L. Q. Ren, Optimum Design and Analysis of Experiments, Higher Education Press, Beijing, China, 2nd edition, 2003, (Chinese).
  45. C. F. J. Wu and M. S. Hamada, Experiments: Planning, Analysis, and Optimization, Wiley Series in Probability and Statistics, John Wiley & Sons, Hoboken, NJ, USA, 2nd edition, 2011. View at MathSciNet
  46. D. I. McLean and M. L. Marsh, Dynamic Impact Factors for Bridges, Transportation Research Board, Washington, DC, USA, 1998.
  47. China PR Ministry of Communications, JTG D60-2004 General Code for Design of Highway Bridges and Culverts, China Communication Press, Beijing, China, 2004.
  48. T. P. Ryan, Modern Engineering Statistics: Solutions Manual to Accompany, John Wiley & Sons, Hoboken, NJ, USA, 2000.
  49. D. C. Montgomery, Design and Analysis of Experiments, John Wiley & Sons, Hoboken, NJ, USA, 2008.