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Vertical vibrations of composite bridge/track structure/high-speed train systems. Part 2: Physical and mathematical modelling

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A theory of one-dimensional physical and mathematical modelling of the composite (steel-concrete) bridge/track structure/highspeed train system is developed including viscoelastic suspensions of rail-vehicles with two two-axle bogies each, non-linear Hertz contact stiffness and one-sided contact between wheel sets and rails, the viscoelastic and inertia features of the bridge, the viscoelastic track structure on and beyond the bridge, approach slabs, and random vertical track irregularities. Compared to the state-of-the-art, the physical model developed in the study accurately reproduces dynamic processes in the considered system. Division of the system into the natural subsystems, a method of formulation of the equations of motion partly in implicit form and the finite element method are applied. Vibrations in the vertical plane of symmetry are described by more than nine matrix equations of motion with constant coefficients. Couplings and non-linearity are hidden in the generalized load vectors. The equations of motion are integrated using the implicit Newmark average acceleration method with linear extrapolation of the interactions between the subsystems.
Rocznik
Strony
181--196
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
  • Institute of Civil Engineering, Wroclaw University of Technology, 27 Wyspianskiego St., 50-370 Wroclaw, Poland
  • Department of Mechanics and Applied Computer Science, Military University of Technology, 2 Kaliskiego St., 00-908 Warsaw, Poland
Bibliografia
  • [1] A. Wiriyachai, K.H. Chu, and V.K. Gang, “Bridge impact due to wheel and track irregularities”, ASCE J. Engng. Mech. Div. 108 (4), 648-666, 1982.
  • [2] X. Lei and N.-A. Noda, “Analyses of dynamic response of vehicle and track coupling system with random irregularity of track vertical profile”, J. Sound Vib. 258 (1), 147-165, 2002.
  • [3] F.T.K. Au, J.J. Wang, and Y.K. Cheung, “Impact study of cable stayed railway bridges with random rail irregularities”, Engineering Structures 24, 529-541 (2002).
  • [4] M. Majka and M. Hartnett, “Dynamic response of bridges to moving trains: A study on effects of random track irregularities and bridge skewness”, Comput. Struct. 87, 1233-1253 (2009).
  • [5] M. Podworna and M. Klasztorny, “Vertical vibrations of composite bridge / track structure / high-speed train system. Part 1: Series-of-types of steel-concrete bridges”, Bull. Pol. Ac.: Tech. 62 (1), 165-179 (2014).
  • [6] M. Klasztorny, Vibrations of Railway Single-track Bridges Induced by Trains Moving at High-speeds, WPWr Press, Wroclaw, 1987, (in Polish).
  • [7] M. Klasztorny, Dynamics of Beam Bridges under High-speed Trains, WNT Press, Warsaw, 2005, (in Polish).
  • [8] L. Fryba, “A rough assessment of railway bridges for high speed trains”, Engineering Structures 23, 548-556 (2001).
  • [9] Y.S. Cheng, F.T.K. Au, and Y.K. Cheung, “Vibration of railway bridges under a moving train by using bridge-track-vehicle element”, Engineering Structures 23 (12), 1597-1606 (2001).
  • [10] F.T.K. Au, J.J. Wang, and Y.K. Cheung, “Impact study of cable-stayed bridge under railway traffic using various models”, J. Sound Vib. 240 (3), 447-465 (2001).
  • [11] Q.-L. Zhang, A. Vrouwenvelder, and J. Wardenier, “Numerical simulation of train - bridge interactive dynamics”, Comput. Struct. 79, 1059-1075 (2001).
  • [12] M.-K. Song and C.-K. Choi, “Analysis of high-speed vehiclebridge interactions by a simplified 3-D model”, Structural Engineering and Mechanics 13 (5), 505-532 (2002).
  • [13] M. Podworna, “Vertical vibrations of steel beam bridges induced by trains moving at high speeds. Part 1 - theory”, Archives of Civil Engineering 51 (2), 179-209 (2005).
  • [14] M. Podworna, “Vertical vibrations of steel beam bridges induced by trains moving at high speeds. Part 2 - numerical analysis”, Archives of Civil Engineering 51 (2), 211-231 (2005).
  • [15] F. Lu, J.H. Lin, D. Kennedy, and F.W.Williams, “An algorithm to study non-stationary random vibrations of vehicle - bridge system”, Comput. Struct. 87, 177-185 (2009).
  • [16] J. Langer, Dynamics of Structures, Wroclaw Univ. Technol. Press, Wroclaw, 1980, (in Polish).
  • [17] M. Podworna and M. Klasztorny, “Vertical vibrations of composite bridge / track structure / high-speed train system. Part 3: Deterministic and random vibrations of exemplary system”, Bull. Pol. Ac.: Tech. 62 (2), (2014), (to be published).
  • [18] L. Fryba, Dynamics of Railway Bridges, Academia, Praha, 1996.
  • [19] N.M. Newmark, “A method of computation for structural dynamics”, ASCE J. Eng. Mech. Div. 85 (3), 67-94 (1959).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fecfe626-a81f-4eeb-8e2e-78363b46bbe4
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