Dynamic characteristics analysis of partial-interaction composite continuous beams

- Journal title : Steel and Composite Structures
- Volume 21, Issue 1, 2016, pp.195-216
- Publisher : Techno-Press
- DOI : 10.12989/scs.2016.21.1.195

Title & Authors

Dynamic characteristics analysis of partial-interaction composite continuous beams

Fang, Genshen; Wang, Jingquan; Li, Shuai; Zhang, Shubin;

Fang, Genshen; Wang, Jingquan; Li, Shuai; Zhang, Shubin;

Abstract

The dynamic characteristics of continuous steel-concrete composite beams considering the effect of interlayer slip were investigated based on Euler Bernoulli`s beam theory. A simplified calculation model was presented, in which the Mode Stiffness Matrix (MSM) was developed. The natural frequencies and modes of partial-interaction composite continuous beams can be calculated accurately and easily by the use of MSM. Proceeding from the present method, the natural frequencies of two-span steel-concrete composite continuous beams with different span-ratios (0.53, 0.73, 0.85, 1) and different shear connection stiffnesses on the interface are calculated. The influence pattern of interfacial stiffness on bending vibration frequency was found. With the decrease of shear connection stiffness on the interface, the flexural vibration frequencies decrease obviously. And the influence on low order modes is more obvious while the reduction degree of high order is more sizeable. The real natural frequencies of partial-interaction continuous beams commonly used could have a 20% to 40% reduction compared with the fully-interaction ones. Furthermore, the reduction-ratios of natural frequencies for different span-ratios two-span composite beams with uniform shear connection stiffnesses are totally the same. The span-ratio mainly impacts on the mode shape. Four kinds of shear connection stiffnesses of steel-concrete composite continuous beams are calculated and compared with the experimental data and the FEM results. The calculated results using the proposed method agree well with the experimental and FEM ones on the low order modes which mainly determine the vibration properties.

Keywords

partial-interaction;steel-concrete composite continuous beam;shear connection stiffness;mode stiffness matrix;dynamic analysis;

Language

English

Cited by

1.

References

1.

Adam, C., Heuer, R. and Jeschko, A. (1997), "Flexural vibrations of elastic composite beams with interlayer slip", Acta. Mech., 125(1-4), 17-30.

2.

Berczynski, S. and Wroblewski, T. (2005), "Vibration of steel-concrete composite beams using the Timoshenko beam mode", J. Vib. Control, 11(6), 829-848.

3.

Berczynski, S. and Wroblewski, T. (2010), "Experimental verification of natural vibration models of steelconcrete composite beams", J. Vib. Control, 16(14), 2057-2081.

4.

Biscontin, G., Morassi, A. and Wendel, P. (2000), "Vibrations of steel-concrete composite beams", J. Vib. Control, 6(5), 691-714.

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.

6.

Girhammar, U.A. and Pan, D.H. (1993), "Dynamic analysis of composite members with interlayer slip", Int. J. Solids. Sturct., 30(6), 797-823.

7.

Hayashikawa, T. and Watanabe, N. (1985), "Free vibration analysis of continuous beams", J. Eng. Mech., 111(5), 639-652.

8.

Hou, Z.M., Xia, H. and Zhang, Y.L. (2012), "Dynamic analysis and shear connector damage identification of steel-concrete composite beams", Steel Compos. Struct., Int. J., 13(4), 327-341.

9.

Huang, C.W. and Su, Y.H. (2008), "Dynamic characteristics of partial composite beams", Int. J. Struct. Stab. Dy., 8(4), 665-685.

10.

Inoue, K. and Ishikawa, K. (2010), "Free vibration analysis of multi layered beam members including the effect of interlayer slip", Int. J. Struct. Eng., 1(3/4), 327-339.

11.

Johnson, R.P. and May, I.M. (1975), "Partial-interaction design of composite beams", Struct. Eng., 53(8), 305-311.

12.

Nguyen, Q.H., Hjiaj, M. and Grognec, P.L. (2012), "Analytical approach for free vibration analysis of twolayer Timoshenko beams with interlayer slip", J. Sound. Vib., 331(12), 2949-2961.

13.

Nie, J.G. (2011), Steel-Concrete Composite Bridges, China Communications Press, Beijing, China. [In Chinese]

14.

Nie, J.G., Tao, M.X., Cai, C.S. and Li, S.J. (2009), "Deformation analysis of prestressed continuous steelconcrete composite beams", J. Struct. Eng., 135(11), 1377-1389.

15.

Qi, J.J., Jiang, L.Z., Zhang, C.Z. and Yu, Z.W. (2010), "Effects of interface slip, vertical uplift and shear deformation on dynamic behavior of steel-concrete composite continuous beams", J. Central South Univ. (Science and Technology), 41(6), 2334-2343. [In Chinese]

16.

Ranzi, G. and Zona, A. (2009), "A steel-concrete composite beam model with partial interaction including the shear deformability of the steel component", Eng. Struct., 29(11), 3026-3041.

17.

Shen, X.D., Chen, W.Q., Wu, Y.F. and Xu, R.Q. (2011), "Dynamic analysis of partial-interaction composite beams", Compos. Sci. Technol., 71(10), 1286-1294.

18.

Shen, X.D., Chen, W.Q. and Xu, R.Q. (2012), "Dynamic analysis of partial-interactive composite beam with axial force", J. Vib. Eng., 25(5), 514-521.

19.

Wang, Y.C. (1998), "Deflection of steel-concrete composite beams with partial shear interaction", J. Struct. Eng., 124(10), 1159-1165.

20.

Wroblewski, T., Pelka-Sawenko, A., Abramowica, M. and Berczynski, S. (2012), "Modeling and analysis of free vibration of steel-concrete composite beams by finite element method", Adv. Manuf. Sci. Technol., 36(4), 85-96.

21.

Wu, Y.F., Xu, R.Q. and Chen, W.Q. (2007), "Free vibrations of the partial-interaction composite members with axial force", J. Sound. Vib., 299(4-5), 1074-1093.

22.

Xu, R.Q. and Wu, Y.F. (2007), "Static, dynamic, and bulking analysis of partial interaction composite members using Timoshenko's beam theory", Int. J. Mech. Sci., 49(10), 1139-1155.

23.

Zhang, S.B. (2014), "Experimental and theoretical study of dynamic properties for steel-concrete composite beam bridges with interlayer slip", Master Thesis; Southeast University, Nanjing, China. [In Chinese]

24.

Zhou, W.B., Jiang, L.Z., Yu, Z.W. and Huang, Z. (2013), "Free vibration characteristics of steel-concrete composite continuous box girder considering shear lag and slip", Chia J. Highway Transport, 26(5), 88-94. [In Chinese]