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Shock and Vibration
Volume 2015 (2015), Article ID 726410, 15 pages
Research Article

Substructural Identification of Flexural Rigidity for Beam-Like Structures

1College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, Devon EX4 4SB, UK
2Coastal and Environmental Engineering Division, Korea Institute of Ocean Science and Technology, Ansan, Gyeonggi 426-744, Republic of Korea
3Department of Convergence Technology, Ocean Science and Technology School, Korea Maritime and Ocean University, Busan 606-791, Republic of Korea

Received 19 October 2014; Revised 23 December 2014; Accepted 30 December 2014

Academic Editor: Gyuhae Park

Copyright © 2015 Ki-Young Koo and Jin-Hak Yi. 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.


This study proposes a novel substructural identification method based on the Bernoulli-Euler beam theory with a single variable optimization scheme to estimate the flexural rigidity of a beam-like structure such as a bridge deck, which is one of the major structural integrity indices of a structure. In ordinary bridges, the boundary condition of a superstructure can be significantly altered by aging and environmental variations, and the actual boundary conditions are generally unknown or difficult to be estimated correctly. To efficiently bypass the problems related to boundary conditions, a substructural identification method is proposed to evaluate the flexural rigidity regardless of the actual boundary conditions by isolating an identification region within the internal substructure. The proposed method is very simple and effective as it utilizes the single variable optimization based on the transfer function formulated utilizing Bernoulli Euler beam theory for the inverse analysis to obtain the flexural rigidity. This novel method is also rigorously investigated by applying it for estimating the flexural rigidity of a simply supported beam model with different boundary conditions, a concrete plate-girder bridge model with different length of an internal substructure, a cantilever-type wind turbine tower structure with different type of excitation, and a steel box-girder bridge model with internal structural damages.