DOI QR코드

DOI QR Code

Extension of a semi-analytical approach to determine natural frequencies and mode shapes of a multi-span orthotropic bridge deck

  • Rezaiguia, A. (Mechanics & Structures Laboratory, Guelma University) ;
  • Fisli, Y. (Mechanics & Structures Laboratory, Guelma University) ;
  • Ellagoune, S. (Mechanics & Structures Laboratory, Guelma University) ;
  • Laefer, D.F. (Urban Modeling Group, School of Architecture, Landscape, and Civil Engineering, University College) ;
  • Ouelaa, N. (Mechanics & Structures Laboratory, Guelma University)
  • 투고 : 2010.11.18
  • 심사 : 2012.05.31
  • 발행 : 2012.07.10

초록

This paper extends a single equation, semi-analytical approach for three-span bridges to multi-span ones for the rapid and precise determination of natural frequencies and natural mode shapes of an orthotropic, multi-span plate. This method can be used to study the dynamic interaction between bridges and vehicles. It is based on the modal superposition method taking into account intermodal coupling to determine natural frequencies and mode shapes of a bridge deck. In this paper, a four- and a five-span orthotropic roadway bridge deck are compared in the first 10 modes with a finite element method analysis using ANSYS software. This simplified implementation matches numerical modeling within 2% in all cases. This paper verifies that applicability of a single formula approach as a simpler alternative to finite element modeling.

키워드

참고문헌

  1. Bellman, R.E. and Casti, J. (1971), "Differential quadrature and long-term. integration", J. Math. Anal. Appl., 34, 235-238. https://doi.org/10.1016/0022-247X(71)90110-7
  2. Cheung, M.S., Cheung, Y.K. and Reddy, D.V. (1971), "Frequency analysis of certain single and continuous span bridges", Developments in Bridges Design and Construction, 188-199.
  3. Davalos, J.F., Qiao, P. and Shan, L. (2006), "Advanced fibre-reinforced polymer (FRP) composites for use in civil engineering", Advanced Civil Infrastructure Materials: Science, Mechanics and Applications, Ed. Wu, HC, E-Publishing Inc., New York.
  4. Gorman, D.J. and Garibaldi, L. (2006), "Accurate analytical type solutions for free vibration frequencies and mode shapes of multi-span bridge decks: the span-by-span approach", J. Sound Vib., 290, 321-336. https://doi.org/10.1016/j.jsv.2005.03.020
  5. Hrabok, M.M. and Hrudley, T.M. (1984), "A review and catalogue of plate bending elements", Comput. Struct., 19, 479-495. https://doi.org/10.1016/0045-7949(84)90055-5
  6. Lu, C.F., Zhang, Z.C. and Chen, W.Q. (2007), "Free vibration of generally supported rectangular Kirchhoff plates: State-space-based differential quadrature method", Int. J. Numer. Meth. Eng., 70, 1430-1450. https://doi.org/10.1002/nme.1929
  7. Ng, S.S.F. and Kaul, V. (1987), "Free vibration analysis of continuous orthotropic Bridge decks", J. Sound Vib., 119, 29-38. https://doi.org/10.1016/0022-460X(87)90187-8
  8. Rezaiguia, A. (2008), "Vibroacoustic modelling of highway bridges crossing by moving vehicles", Doctorate Thesis, Annaba University, Algeria.
  9. Rezaiguia, A. and Laefer, D.F. (2009), "Semi-analytical determination of natural frequencies and mode shapes of multi-span bridge decks", J. Sound Vib., 328, 291-300. https://doi.org/10.1016/j.jsv.2009.08.007
  10. Smith, I.M. and William, D. (1970), "The effectiveness of excessive nodal continuities in the finite element analysis of thin rectangular and skew plates in bending", Int. J. Numer. Meth. Eng., 2, 253-257. https://doi.org/10.1002/nme.1620020210
  11. Timoshenko S.P. and Woinowsky-Krieger, S. (1959), Theory of Plates and Shells, McGraw-Hill Book Company, New York.
  12. Wu, C.I. and Cheung, Y.K. (1974), "Frequency analysis of rectangular plates continuous in one or two directions", J. Earthq. Eng. Struc. D., 3, 3-14.
  13. Wu, J.S., Lee, M.L. and Lai, T.S. (1987), "The dynamic analysis of a flat plate under a moving load by the finite element method", Int. J. Numer. Meth. Eng., 24, 743-762. https://doi.org/10.1002/nme.1620240407
  14. Zhou, D. and Cheung, Y.K. (1999), "Free vibration of line supported rectangular plates using a set of static beam functions", J. Sound Vib., 223, 231-245. https://doi.org/10.1006/jsvi.1998.2043
  15. Zhu X.Q. and Law S.S. (2001), "Orthogonal functions in moving loads identification on a multispan bridge", J. Sound Vib., 245, 329-345. https://doi.org/10.1006/jsvi.2001.3577
  16. Zhu, X.Q. and Law, S.S. (2002), "Dynamic loads on continuous multi lane bridge deck from moving vehicles", J. Sound Vib., 251, 697-716. https://doi.org/10.1006/jsvi.2001.3996

피인용 문헌

  1. Dynamic amplification of a multi-span, continuous orthotropic bridge deck under vehicular movement vol.100, 2015, https://doi.org/10.1016/j.engstruct.2015.06.044