TY - JOUR
T1 - Semi-analytical determination of natural frequencies and mode shapes of multi-span bridge decks
AU - Rezaiguia, A.
AU - Laefer, D. F.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2009/12/11
Y1 - 2009/12/11
N2 - The determination of the natural frequencies and mode shapes of structures requires an analytical, semi-analytical or numerical method. This paper presents a new semi-analytical approach to determine natural frequencies and mode shapes of a multi-span, continuous, orthotropic bridge deck. The suggested approach is based on the modal method, which differs from other approaches in its decomposition of the admissible functions defining the mode shapes. Implementation of this technique is simple and enables avoidance of cumbersome mathematical calculations. In this paper, application of the semi-analytic approach to a three-span, orthotropic roadway bridge deck is compared in the first 16 modes of previously published fully analytical results and to a finite element method analysis. The simplified implementation matches within 2 percent in all cases, with the additional benefit of including intermodal coupling. The approach can be extended to similar bridges with more than three spans.
AB - The determination of the natural frequencies and mode shapes of structures requires an analytical, semi-analytical or numerical method. This paper presents a new semi-analytical approach to determine natural frequencies and mode shapes of a multi-span, continuous, orthotropic bridge deck. The suggested approach is based on the modal method, which differs from other approaches in its decomposition of the admissible functions defining the mode shapes. Implementation of this technique is simple and enables avoidance of cumbersome mathematical calculations. In this paper, application of the semi-analytic approach to a three-span, orthotropic roadway bridge deck is compared in the first 16 modes of previously published fully analytical results and to a finite element method analysis. The simplified implementation matches within 2 percent in all cases, with the additional benefit of including intermodal coupling. The approach can be extended to similar bridges with more than three spans.
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U2 - 10.1016/j.jsv.2009.08.007
DO - 10.1016/j.jsv.2009.08.007
M3 - Article
AN - SCOPUS:80052964633
VL - 328
SP - 291
EP - 300
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 3
ER -