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http://dx.doi.org/10.12989/scs.2016.20.5.1023

Flexural natural vibration characteristics of composite beam considering shear deformation and interface slip  

Zhou, Wangbao (School of Civil Engineering, Guangzhou University)
Jiang, Lizhong (School of Civil Engineering, Central South University)
Huang, Zhi (School of Civil Engineering, Central South University)
Li, Shujin (School of Civil Engineering and Architecture, Wuhan University of Technology)
Publication Information
Steel and Composite Structures / v.20, no.5, 2016 , pp. 1023-1042 More about this Journal
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.
Keywords
steel-concrete composite beam; shear deformation; interfacial slip; flexural natural vibration; degree of shear connection; Hamilton's principle;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Adam, C., Heuer, R. and Jeschko, A. (1997), "Flexural vibrations of elastic composite beams with interlayer slip", ACTA Mech., 125(1), 17-30.   DOI
2 Berczynski, S. and Wroblewski, T. (2005), "Vibration of steel-concrete composite beams using the Timoshenko beam model", J. Vib. Control., 11(6), 829-848.   DOI
3 Berczynski, S. and Wroblewski, T. (2010), "Experimental verification of natural vibration models of steelconcrete composite beams", J. Vib. Control., 16(14), 2057-2081.   DOI
4 Biscontin, G., Morassi, A. and Wendel, P. (2000), "Vibrations of steel-concrete composite beams", J. Vib. Control., 6(5), 691-714.   DOI
5 Chakrabarti, A., Sheikh, A.H., Griffith, M. and Oehlers, D.J. (2013), "Dynamic response of composite beams with partial shear interaction using a higher-order beam theory", J. Struct. Eng., 139(1), 47-56.   DOI
6 Dilena, M. and Morassi, A. (2003), "A damage analysis of steel-concrete composite beams via dynamic methods: Part II. Analytical models and damage detection", J. Vib. Control., 9(5), 529-565.   DOI
7 Dilena, M. and Morassi, A. (2004), "Experimental modal analysis of steel concrete composite beams with partially damaged connection", J. Vib. Control., 10(6), 897-913.   DOI
8 Dilena, M. and Morassi, A. (2009), "Vibrations of steel-concrete composite beams with partially degraded connection and applications to damage detection", J. Sound. Vib., 320(1), 101-124.   DOI
9 Jimbo, S., Morassi, A., Nakamura, G. and Shirota, K. (2012), "A non-destructive method for damage detection in steel-concrete structures based on finite eigendata", Inverse Probl. Sci. Eng., 20(2), 233-270.   DOI
10 Lezgy-Nazargah, M. and Kafi, L. (2015), "Analysis of composite steel-concrete beams using a refined high-order beam theory", Steel Compos. Struct, Int. J., 18(6), 1353-1368.   DOI
11 Li, J., Huo, Q., Li, X., Kong, X. and Wu, W. (2014), "Dynamic stiffness analysis of steel-concrete composite beams", Steel Compos. Struct, Int. J., 16(6), 577-593.   DOI
12 Morassi, A. and Rocchetto, L. (2003), "A damage analysis of steel-concrete composite beams via dynamic methods: Part I. Experimental results", J. Vib. Control, 9(5), 507-527.   DOI
13 Morassi, A., Nakamura, G., Shirota, K. and Sini, M. (2007), "A variational approach for an inverse dynamical problem for composite beams", Eur. J. Appl. Math., 18(1), 21-55.   DOI
14 Nguyen, Q., Hjiaj, M. and Le Grognec, P. (2012), "Analytical approach for free vibration analysis of twolayer Timoshenko beams with interlayer slip", J. Sound. Vib., 331(12), 2949-2961.   DOI
15 Nie, J., Fan, J. and Cai, C.S. (2004), "Stiffness and deflection of steel-concrete composite beams under negative bending", J. Struct. Eng., 130(11), 1842-1851.   DOI
16 Nie, J., Cai, C.S. and Wang, T. (2005), "Stiffness and capacity of steel-concrete composite beams with profiled sheeting", Eng. Struct., 27(7), 1074-1085.   DOI
17 Nie, J.G., Cai, C.S., Zhou, T.R. and Li, Y. (2007), "Experimental and analytical study of prestressed steelconcrete composite beams considering slip effect", J. Struct. Eng.-ASCE, 133(4), 530-540.   DOI
18 Ranzi, G. and Zona, A. (2007), "A steel-concrete composite beam model with partial interaction including the shear deformability of the steel component", Eng. Struct., 29(11), 3026-3041.   DOI
19 Qi, J. and Jiang, L. (2010), "Effects of interface slip and semi-rigid joint on elastic seismic response of steelconcrete composite frames", J. Central South Univ. Technol., 17(6), 1327-1335.   DOI
20 Qi, J., Jiang, L., Zhang, C. and Yu, Z. (2010), "Effects of interface slip, vertical uplift and shear deformation on dynamic behavior of steel-concrete composite continuous beams", J. Central South Univ. (Sci. Technol.), 41(6), 2334-2343.
21 Shen, Z. and Zhong, H. (2012), "Static and vibrational analysis of partially composite beams using the weak-form quadrature element method", Math. Probl. Eng., 2012, 1-23.
22 Shen, X., Chen, W., Wu, Y. and Xu, R. (2011), "Dynamic analysis of partial-interaction composite beams", Compos. Sci. Technol., 71(10), 1286-1294.   DOI
23 Wang, W., Li, Q., Zhao, C. and Zhuang, W. (2013), "Dynamic properties of long-span steel-concrete composite bridges with external tendons", J. Highway Transport. Res. Develop., 7(4), 30-38.   DOI
24 Xia, Y., Hao, H. and Deeks, A.J. (2007), "Dynamic assessment of shear connectors in slab-girder bridges", Eng. Struct., 29(7), 1475-1486.   DOI
25 Xia, Y., Hao, H., Deeks, A.J. and Zhu, X. (2008), "Condition assessment of shear connectors in slab-girder bridges via vibration measurements", J. Bridge Eng., 13(1), 43-54.   DOI
26 Xu, R. and Wu, Y. (2007a), "Static, dynamic, and buckling analysis of partial interaction composite members using Timoshenko's beam theory", Int. J. Mech. Sci., 49(10), 1139-1155.   DOI
27 Yan, W. and Ren, W. (2015), "An Enhanced Power Spectral Density Transmissibility (EPSDT) approach for operational modal analysis: Theoretical and experimental investigation", Ent. Struct., 102, 108-119.   DOI
28 Xu, R. and Wu, Y. (2007b), "Two-dimensional analytical solutions of simply supported composite beams with interlayer slips", Int. J. Solid. Struct., 44(1), 165-175.   DOI
29 Yan, W. and Katafygiotis, L.S. (2015), "A two-stage fast Bayesian spectral density approach for ambient modal analysis. Part I: Posterior most probable value and uncertainty", Mech. Syst. Signal. Process., 54-55, 139-155.   DOI
30 Yan, W. and Ren, W. (2012), "Operational modal parameter identification from power spectrum density transmissibility", Comput-Aided Civ. Infra. Eng., 27(3), 202-217.   DOI
31 Yan, W., Ren, W. and Huang, T. (2012), "Statistic structural damage detection based on the closed-form of element modal strain energy sensitivity", Mech. Syst. Signal. process., 28, 183-194.   DOI
32 Zhou, W., Jiang, L. and Yu, Z. (2013), "Analysis of free vibration characteristic of steel-concrete composite box-girder considering shear lag and slip", J. Central South Univ., 20(9), 2570-2577.   DOI
33 Zhou, W., Jiang, L., Li, S. and Kong, F. (2015a), "Elastic distortional buckling sanalysis of I-steel concrete composite beam considering shear deformation", Int. J. Struct. Stab. Dy., 1550045.
34 Zhou, W., Li, S., Jiang, L. and Qin, S. (2015b), "Vibration analysis of steel-concrete composite box beams considering shear lag and slip", Math Probl. Eng., 2015(1), 1-8.
35 Zhou, W., Li, S., Jiang, L. and Zhi, H. (2015c), "Distortional buckling calculation method of steel-concrete composite box beam in negative moment area", Steel Compos. Struct, Int. J., 19(5), 1203-1219.   DOI