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Structural Engineering and Mechanics Volume 43, Number 1, July10 2012 , pages 71-87 DOI: https://doi.org/10.12989/sem.2012.43.1.071 |
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Extension of a semi-analytical approach to determine natural frequencies and mode shapes of a multi-span orthotropic bridge deck |
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A. Rezaiguia, Y. Fisli, S. Ellagoune, D.F. Laefer and N. Ouelaa
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| Abstract | ||
| 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. | ||
| Key Words | ||
| natural frequencies; natural mode shapes; multi-span orthotropic bridge deck; dynamic loading; traffic | ||
| Address | ||
| A. Rezaiguia, Y. Fisli, S. Ellagoune, D.F. and N. Ouelaa: Mechanics & Structures Laboratory, Guelma University, P.O.B 401, Guelma 24000, Algeria D.F. Laefer: Urban Modeling Group, School of Architecture, Landscape, and Civil Engineering, University College, Belfield, Dublin 4, Ireland | ||