Abstract
Based on Hamilton principle, the governing differential equations and the corresponding boundary conditions of steel-concrete composite box girder with consideration of the shear lag effect meeting self equilibrated stress, shear deformation, slip, as well as rotational inertia were induced. Therefore, natural frequency equations were obtained for the boundary types, such as simple support, cantilever, continuous girder and fixed support at two ends. The ANSYS finite element solutions were compared with the analytical solutions by calculation examples and the validity of the proposed approach was verified, which also shows the correctness of longitudinal warping displacement functions. Some meaningful conclusions for engineering design were obtained. The decrease extent of each order natural frequency of the steel-concrete composite box-girder is great under action of the shear lag effect. The shear-lag effect of steel-concrete composite box girder increases when frequency order rises, and increases while span-width ratio decreases. The proposed approach provides theoretical basis for further research of free vibration characteristics of steel-concrete composite box-girder.
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Foundation item: Projects(51078355, 50938008) supported by the National Natural Science Foundation of China; Project(094801020) supported by the Academic Scholarship for Doctoral Candidates of the Ministry of Education, China; Project(CX2011B093) supported by the Doctoral Candidate Research Innovation Project of Hunan Province, China; Project(20117Q008) supported by the Central University Basic Scientific Research Business Expenses Special Fund of China
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Zhou, Wb., Jiang, Lz. & Yu, Zw. Analysis of free vibration characteristic of steel-concrete composite box-girder considering shear lag and slip. J. Cent. South Univ. 20, 2570–2577 (2013). https://doi.org/10.1007/s11771-013-1770-x
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DOI: https://doi.org/10.1007/s11771-013-1770-x