Structural Engineering and Mechanics

  • 제38권3호
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  • Pages.283-300
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Dynamics of a bridge beam under a stream of moving elements -Part 1 - Modelling and numerical integration

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

초록

A new conception of fundamental tasks in dynamics of the bridge-track-train systems (BTT), with the aim to evaluate moving load's models adequacy, has been developed. The 2D physical models of BTT systems, corresponding to the fundamental tasks, have been worked out taking into account one-way constraints between the moving unsprung masses and the track. A method for deriving the implicit equations of motion, governing vibrations of BTT systems' models, as well as algorithms for numerical integration of these equations, leading to the solutions of high accuracy and relatively short times of simulations, have been also developed. The derived equations and formulated algorithms constitute the basis for numerical simulation of vibrations of the considered systems.

키워드

참고문헌

  1. Benedetti, G.A. (1974), "Dynamic stability of a beam loaded by a sequence of moving mass particles", ASME J. Appl. Mech., 41, 1069-1071. https://doi.org/10.1115/1.3423435
  2. 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
  3. Cheng, Y.S., Au, F.T.K. and Cheung, Y.K. (2001), "Vibration of railway bridges under a moving train by using bridge-track-vehicle element", Eng. Struct., 23, 1597-1606. https://doi.org/10.1016/S0141-0296(01)00058-X
  4. Chu, K.H., Dhar, C.L. and Garg, V.K. (1979), "Railway - bridge impact: simplified train and bridge model", ASCE J. Struct. Div., 105(9), 1823-1844.
  5. 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
  6. 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
  7. Fryba, L. (2001), "A rough assessment of railway bridges for high speed trains", Eng. Struct., 23, 548-556. https://doi.org/10.1016/S0141-0296(00)00057-2
  8. 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
  9. 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
  10. Klasztorny, M. (2005), Dynamics of Beam Bridges Loaded by High-speed Trains, WNT Press, Warsaw. (in Polish)
  11. Klasztorny, M. (1986), "Dynamic stability of bridge structures under inertial moving loads", Eng. Trans., 34(3), 215-231. (in Polish)
  12. Klasztorny, M. and Langer J. (1990), "Dynamic response of single-span beam bridges to series of moving loads", Earthq. Eng. Struct. D., 19(8), 1107-1124. https://doi.org/10.1002/eqe.4290190803
  13. Klasztorny, M. (2001), "Vertical vibrations of a multi-span beam steel bridge induced by a superfast passenger train", Struct. Eng. Mech., 12(3), 267-281. https://doi.org/10.12989/sem.2001.12.3.267
  14. Langer, J. and Klasztorny, M. (1981), "Vibrations of the complex beam system under a cyclic inertial moving load", Arch. Civil Eng., 27(2), 261-279. (in Polish)
  15. Langer, J. (1980), Dynamics of Structures, Wroclaw Univ. Technol. Press, Wroclaw. (in Polish)
  16. Langer, J. and Klasztorny, M. (1986), "Analysis of one-step methods for numerical integration of equations of motion", Mech. Comput., Polish Academy of Sciences Press, 6, 51-71. (in Polish)
  17. 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
  18. Muscolino, G., Dalmeri, 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
  19. Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng. Mech. Div.-ASCE, 85(3), 67-94.
  20. Nelson, H.D. and Conover, R.A. (19710, "Dynamic stability of a beam carrying moving masses", ASME J. Appl. Mech., 38, 1003-1006. https://doi.org/10.1115/1.3408901
  21. Podworna, M. (2004), "Determination of the design model for simulating vibrations of steel beam bridges under moving trains", Arch. Civil Mech. Eng., 4(1), 57-69.
  22. Podworna, M. (2005a), "Vertical vibrations of steel beam bridges induced by trains moving at high speeds. Part 1 - theory", Arch. Civil Eng., 51(2), 179-209.
  23. Podworna, M. (2005b), "Vertical vibrations of steel beam bridges induced by trains moving at high speeds. Part 2 - numerical analysis", Arch. Civil Eng., 51(2), 211-231.
  24. Podworna, M. (2010), "Dynamics of a bridge beam under a stream of moving elements. Part 2 - Numerical simulations", Struct. Eng. Mech., 38(3), 301-314.
  25. 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
  26. Yang, Y.B., Yau, J.D. and Hsu, L.C. (1997), "Vibrations of simple beams due to trains moving at high speeds", Eng. Struct., 19(11), 936-944. https://doi.org/10.1016/S0141-0296(97)00001-1
  27. Yau, J.D., Wu, Y.S. and Yang, Y.B. (2001), "Impact response of bridges with elastic bearings to moving loads", J. Sound Vib., 248(1), 9-30. https://doi.org/10.1006/jsvi.2001.3688
  28. 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
  29. 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
  30. 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 response of a Timoshenko beam to a continuous distributed moving load vol.54, pp.4, 2015, https://doi.org/10.12989/sem.2015.54.4.771
  2. Spectral method in realistic modelling of bridges under moving vehicles vol.50, 2013, https://doi.org/10.1016/j.engstruct.2012.10.024
  3. 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
  4. Application of Volterra Integral Equations in Dynamics of Multispan Uniform Continuous Beams Subjected to a Moving Load vol.2016, 2016, https://doi.org/10.1155/2016/4070627
  5. 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
  6. Dynamic response of a Timoshenko Beam to a Deterministic and Stochastic Series of Impulses vol.199, 2017, https://doi.org/10.1016/j.proeng.2017.09.367
  7. Dynamics of a bridge beam under a stream of moving elements -Part 2 - Numerical simulations vol.38, pp.3, 2011, https://doi.org/10.12989/sem.2011.38.3.301
  8. Effect of random track irregularities on selected composite bridge / track structure / high-speed train system vibrations vol.12, pp.1, 2011, https://doi.org/10.35784/bud-arch.2207