DOI QR코드

DOI QR Code

Dynamics of a bridge beam under a stream of moving elements -Part 2 - Numerical simulations

  • Podworna, M. (Institute of Civil Engineering, Wroclaw University of Technology)
  • 투고 : 2010.10.20
  • 심사 : 2010.12.17
  • 발행 : 2011.05.10

초록

The paper constitutes the second part of the author's study. The first part (Podworna 2010) formulates four fundamental tasks in dynamics of the bridge-track-train systems. The following cyclic moving loads are considered: a concentrated forces stream (model P), an unsprung masses stream (model M), a single-mass viscoelastic oscillators stream (model $M_o$) and a double-mass viscoelastic oscillators stream (model $MM_o$). Three problems precluding to the numerical simulations have been developed, i.e., prediction of the forced resonances, the parameters of integration of equations of motion, the output results. A computer programme was written in Pascal and numerical research in the scope of the fundamental tasks was worked out. The investigations were focused on adequacy evaluation of the moving load models, P, M, $M_o$, $MM_o$, in predicting dynamic processes in railway bridges.

키워드

참고문헌

  1. Bilello, C., Di Paola, M. and Salamone, S. (2008), "A correction method for the analysis of continuous linear one-dimensional systems under moving loads", J. Sound Vib., 315(1-2), 226-238. https://doi.org/10.1016/j.jsv.2008.01.040
  2. Cojocaru, E.C., Irschik, H. and Gattringer, H. (2004), "Dynamic response of an elastic bridge due to a moving elastic beam", Comp. Struct., 82(11-12), 931-943. https://doi.org/10.1016/j.compstruc.2004.02.001
  3. De Salvo, V., Muscolino, G. and Palmeri, A. (2010), "A substructure approach tailored to the dynamic analysis of multi-span continuous beams under moving loads", J. Sound Vib., 329(15), 3101-3120. https://doi.org/10.1016/j.jsv.2010.02.016
  4. Fryba, L. and Yau, J.D. (2009), "Suspended bridges subjected to moving loads and support motions due to earthquake", J. Sound Vib., 319(1-2), 218-227. https://doi.org/10.1016/j.jsv.2008.05.012
  5. Garinei, A. (2006), "Vibrations of simple beam-like modelled bridge under harmonic moving loads", Int. J. Eng. Sci., 44(11-12), 778-787. https://doi.org/10.1016/j.ijengsci.2006.04.013
  6. Klasztorny, M. (2005), Dynamics of Beam Bridges Loaded by High-speed Trains, WNT Press, Warsaw. (in Polish)
  7. Langer, J. (1980), Dynamics of Structures, Wroclaw Univ. Technol. Press, Wroclaw. (in Polish)
  8. Liu, M.F., Chang, T.P. and Zeng, D.Y. (2011), "The interactive vibration behavior in a suspension bridge system under moving vehicle loads and vertical seismic excitations", Appl. Math. Model., 35(1), 398-411. https://doi.org/10.1016/j.apm.2010.07.005
  9. Muscolino, G., Palmeri, A. and Sofi, A. (2009), "Absolute versus relative formulations of the moving oscillator problem", Int. J. Solids Struct., 46(5), 1085-1094. https://doi.org/10.1016/j.ijsolstr.2008.10.019
  10. Newmark, N.M. (1959), "A method of computation for structural dynamics", ASCE J. Eng. Mech. Div., 85(3), 67-94.
  11. Nelson, H.D. and Conover, R.A. (1971), "Dynamic stability of a beam carrying moving masses", ASME J. Appl. Mech., 38, 1003-1006. https://doi.org/10.1115/1.3408901
  12. Podworna, M. (2010), "Dynamics of a bridge beam under a stream of moving elements. Part 1 - Modelling and numerical integration", Struct. Eng. Mech., 38(3), 283-300. https://doi.org/10.12989/sem.2011.38.3.283
  13. Wu, S.Q. and Law, S.S. (2010), "Dynamic analysis of bridge-vehicle system with uncertainties based on the finite element model", Prob. Eng. Mech., 25(4), 425-432. https://doi.org/10.1016/j.probengmech.2010.05.004
  14. Yau, J.D. and Frýba, L. (2007), "Response of suspended beams due to moving loads and vertical seismic ground excitations", Eng. Struct., 29(12), 3255-3262. https://doi.org/10.1016/j.engstruct.2007.10.001
  15. Yau, J.D. and Yang, Y.B. (2008), "Vibration of a suspension bridge installed with a water pipeline and subjected to moving trains", Eng. Struct., 30(3), 632-642. https://doi.org/10.1016/j.engstruct.2007.05.006
  16. Yau, J.D. (2009), "Response of a train moving on multi-span railway bridges undergoing ground settlement", Eng. Struct., 31(9), 2115-2122. https://doi.org/10.1016/j.engstruct.2009.03.019

피인용 문헌

  1. Dynamic analysis of bridge girders submitted to an eccentric moving load vol.52, pp.1, 2014, https://doi.org/10.12989/sem.2014.52.1.173
  2. Condition assessment for high-speed railway bridges based on train-induced strain response vol.54, pp.2, 2015, https://doi.org/10.12989/sem.2015.54.2.199