DOI QR코드

DOI QR Code

Dynamic stiffness analysis of steel-concrete composite beams

  • Li, Jun (Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology) ;
  • Huo, Qiji (Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology) ;
  • Li, Xiaobin (Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology) ;
  • Kong, Xiangshao (Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology) ;
  • Wu, Weiguo (Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology)
  • 투고 : 2013.03.16
  • 심사 : 2014.01.27
  • 발행 : 2014.06.25

초록

An exact dynamic stiffness method is introduced for investigating the free vibration characteristics of the steel-concrete composite beams consisting of a reinforced concrete slab and a steel beam which are connected by using the stud connectors. The elementary beam theory is used to define the dynamic behaviors of the two beams and the relative transverse deformation of the connectors is included in the formulation. The dynamic stiffness matrix is formulated from the exact analytical solutions of the governing differential equations of the composite beams in undamped free vibration. The application of the derived dynamic stiffness matrix is illustrated to predict the natural frequencies and mode shapes of the steel-concrete composite beams with seven boundary conditions. The present results are compared to the available solutions in the literature whenever possible.

키워드

참고문헌

  1. Adam, C., Heuer, R. and Jeschko, A. (1997), "Flexural vibrations of elastic composite beams with interlayer slip", Acta Mech., 125(1), 17-30. https://doi.org/10.1007/BF01177296
  2. Banerjee, J.R. (1997), "Dynamic stiffness formulation for structural elements: a general approach", Comput. Struct., 63(1), 101-103. https://doi.org/10.1016/S0045-7949(96)00326-4
  3. Berczynski, S. and Wroblewski, T. (2005), "Vibration of steel-concrete composite beams using the Timoshenko beam model", J. Vib. Control, 11(6), 829-848. https://doi.org/10.1177/1077546305054678
  4. Berczynski, S. and Wroblewski, T. (2010), "Experimental verification of natural vibration models of steel-concrete composite beams", J. Vib. Control, 16(14), 2057-2081. https://doi.org/10.1177/1077546309350552
  5. Biscontin, G., Morassi, A. and Wendel, P. (2000), "Vibrations of steel-concrete composite beams", J. Vib. Control, 6(5), 691-714. https://doi.org/10.1177/107754630000600503
  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. https://doi.org/10.1177/1077546303009005003
  7. 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(1-2), 101-124. https://doi.org/10.1016/j.jsv.2008.07.022
  8. Girhammar, U.A. and Pan, D. (1993), "Dynamic analysis of composite members with interlayer slip", Int. J. Solids Struct., 30(6), 797-823. https://doi.org/10.1016/0020-7683(93)90041-5
  9. Girhammar, U.A., Pan, D.H. and Gustafsson, A. (2009), "Exact dynamic analysis of composite beams with partial interaction", Int. J. Mech. Sci., 51(8), 565-582. https://doi.org/10.1016/j.ijmecsci.2009.06.004
  10. Lenci, S. and Clementi, F. (2012), "Effects of shear stiffness, rotatory and axial inertia, and interface stiffness on free vibrations of a two-layer beam", J. Sound Vib., 331(24), 5247-5267. https://doi.org/10.1016/j.jsv.2012.07.004
  11. Luo, Y., Li, A. and Kang, Z. (2012), "Parametric study of bonded steel-concrete composite beams by using finite element analysis", Eng. Struct., 34, 40-51. https://doi.org/10.1016/j.engstruct.2011.08.036
  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. https://doi.org/10.1177/1077546303009005002
  13. Ranzi, G. and Bradford, M.A. (2007), "Direct stiffness analysis of a composite beam-column element with partial interaction", Comput. Struct., 85(15-16), 1206-1214. https://doi.org/10.1016/j.compstruc.2006.11.031
  14. 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. https://doi.org/10.1016/j.compscitech.2011.04.013
  15. Wang, Y.C. (1998), "Deflection of steel-concrete composite beams with partial shear interaction", J. Struct. Eng., 124(10), 1159-1165. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:10(1159)
  16. Wittrick, W.H. and Williams, F.W. (1971), "A general algorithm for computing natural frequencies of elastic structures", Q. J. Mech. Appl. Math., 24(3), 263-284. https://doi.org/10.1093/qjmam/24.3.263
  17. Wolfram, S. (1991), Mathematica: A System for Doing Mathematics by Computer, Addison-Wesley, MA, USA.
  18. Wu, Y.F., Xu, R. and Chen, W. (2007), "Free vibrations of the partial-interaction composite members with axial force", J. Sound Vib., 299(4-5), 1074-1093. https://doi.org/10.1016/j.jsv.2006.08.008
  19. Xu, R. and Wu, Y. (2007), "Static, dynamic, and buckling analysis of partial interaction composite members using Timoshenko's beam theory", Int. J. Mech. Sci., 49(10), 1139-1155. https://doi.org/10.1016/j.ijmecsci.2007.02.006
  20. Xu, R.Q. and Wu, Y.F. (2008), "Free vibration and buckling of composite beams with interlayer slip by two-dimensional theory", J. Sound Vib., 313(3-6), 875-890. https://doi.org/10.1016/j.jsv.2007.12.029

피인용 문헌

  1. Analysis of composite steel-concrete beams using a refined high-order beam theory vol.18, pp.6, 2015, https://doi.org/10.12989/scs.2015.18.6.1353
  2. Structural performance of composite double beam system vol.19, pp.2, 2016, https://doi.org/10.1177/1369433215624599
  3. Flexural natural vibration characteristics of composite beam considering shear deformation and interface slip vol.20, pp.5, 2016, https://doi.org/10.12989/scs.2016.20.5.1023
  4. Distortional buckling of I-steel concrete composite beams in negative moment area vol.20, pp.1, 2016, https://doi.org/10.12989/scs.2016.20.1.057
  5. Distortional buckling calculation method of steel-concrete composite box beam in negative moment area vol.19, pp.5, 2015, https://doi.org/10.12989/scs.2015.19.5.1203
  6. Design and modelling of pre-cast steel-concrete composites for resilient railway track slabs vol.22, pp.3, 2016, https://doi.org/10.12989/scs.2016.22.3.537
  7. Free vibration of a steel-concrete composite beam with coupled longitudinal and bending motions vol.24, pp.1, 2014, https://doi.org/10.12989/scs.2017.24.1.079
  8. Influence of shear bolt connections on modular precast steel-concrete composites for track support structures vol.27, pp.5, 2018, https://doi.org/10.12989/scs.2018.27.5.647
  9. Briefing: Dynamic mode couplings of railway composite track slabs vol.173, pp.2, 2014, https://doi.org/10.1680/jstbu.17.00193
  10. Optimization of steel-concrete composite beams considering cost and environmental impact vol.34, pp.3, 2014, https://doi.org/10.12989/scs.2020.34.3.409
  11. Time-dependent analysis of slender, tapered reinforced concrete columns vol.36, pp.2, 2014, https://doi.org/10.12989/scs.2020.36.2.229
  12. Exact Dynamic Characteristic Analysis of Steel-Concrete Composite Continuous Beams vol.2021, pp.None, 2014, https://doi.org/10.1155/2021/5577276
  13. A dynamic stiffness matrix method for free vibrations of partial-interaction composite beams based on the Timoshenko beam theory vol.520, pp.None, 2014, https://doi.org/10.1016/j.jsv.2021.116579