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Steel and Composite Structures Volume 20, Number 5, April10 2016 , pages 1023-1042 DOI: https://doi.org/10.12989/scs.2016.20.5.1023 |
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Flexural natural vibration characteristics of composite beam considering shear deformation and interface slip |
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Wangbao Zhou, Lizhong Jiang, Zhi Huang and Shujin Li
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| Abstract | ||
| Based on Hamilton's principle, the flexural vibration differential equations and boundary conditions of the steel-concrete composite beam (SCCB) with comprehensive consideration of the influences of the shear deformation, interface slip and longitudinal inertia of motion were derived. The analytical natural frequencies of flexural vibration were compared with available results previously observed by the experiments, the results calculated by the FE model and the other similar beam theories available in the open literatures. The comparison results showed that, the calculation results of the analytical and Timoshenko models had a good agreement with the results of the experimental test and FE model. Finally, the influences of shear deformation and interface slip on the flexural natural frequencies of the SCCB were discussed. The shear deformation effect increases with the increase of the mode orders of flexural natural vibration, and the flexural natural frequencies of the higher mode orders ignoring the influence of shear deformations effect would be overestimated. The interface slip effect decrease with the increase of the mode orders of flexural natural vibration, and the influence of the interface slip effect on flexural natural frequencies of the low mode orders is significant. The influence of the degree of shear connection on shear deformation effect is insignificant, and the low order modes of flexural natural vibration are mainly composed of the rotational displacement of cross sections. | ||
| Key Words | ||
| steel-concrete composite beam; shear deformation; interfacial slip; flexural natural vibration; degree of shear connection; Hamilton's principle | ||
| Address | ||
| (1) Wangbao Zhou: School of Civil Engineering, Guangzhou University, Guangzhou, 510006, China; (2) Wangbao Zhou, Shujin Li: School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan, 430070, China; (3) Lizhong Jiang, Zhi Huang: School of Civil Engineering, Central South University, Changsha, 410075, China. | ||