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) |
1 | Bellman, R.E. and Casti, J. (1971), "Differential quadrature and long-term. integration", J. Math. Anal. Appl., 34, 235-238. DOI |
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. DOI ScienceOn |
5 | Hrabok, M.M. and Hrudley, T.M. (1984), "A review and catalogue of plate bending elements", Comput. Struct., 19, 479-495. DOI ScienceOn |
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. DOI ScienceOn |
7 | Ng, S.S.F. and Kaul, V. (1987), "Free vibration analysis of continuous orthotropic Bridge decks", J. Sound Vib., 119, 29-38. DOI ScienceOn |
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. DOI ScienceOn |
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. DOI |
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. DOI ScienceOn |
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. DOI ScienceOn |
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. DOI ScienceOn |
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. DOI ScienceOn |