Abstract
For analyzing the dynamic interaction problem of a train passing a railway bridge with high speed, a substructure approach is presented taking into account the influence of rail irregularities. Modal analysis provides a description of the finite element bridge model in modal space with a small number of degrees of freedom. The train is modeled as a sequence of multibody mass–spring–damper systems. A linear interaction model in the context of a component mode synthesis method is used for coupling the two substructures. In a numerical example, the dynamic response of a single-span steel bridge subjected to a high-speed train is analyzed showing the efficiency of the proposed approach. The results of this example demonstrate the importance of considering rail irregularities for a reliable prediction of the acceleration response.
Similar content being viewed by others
References
ABAQUS 6.12-1: Dassault Systèmes, Providence, RI, United States (2012)
Adam C., Heuer R., Ziegler F.: Reliable dynamic analysis of an uncertain compound bridge under traffic loads. Acta Mech. 223(8), 1567–1581 (2012)
Adam C., Salcher P.: Dynamic effect of high-speed trains on simple bridge structures. Struct. Eng. Mech. 51(4), 581–599 (2014)
Antolín P., Zhang N., Goicolea J.M., Xia H., Astiz M.A., Oliva J.: Consideration of nonlinear wheel–rail contact forces for dynamic vehicle–bridge interaction in high–speed railways. J. Sound Vib. 332(5), 1231–1251 (2013)
Bathe K.: Finite Element Procedures. With Applications to High-Speed Railways. Prentice Hall, Englewood Cliffs (1996)
Biondi B., Muscolino G.: Component-mode synthesis method for coupled continuous and FE discretized sub-structures. J. Eng. Struct. 25, 419–433 (2003)
Biondi B., Muscolino G., Sofi A.: A substructure approach for the dynamic analysis of train–track–bridge system. Comput. Struct. 83(28–30), 2271–2281 (2005)
Chopra A.: Dynamics of Structures: Theory and Applications to Earthquake Engineering, 4th edn. Prentice Hall, Englewood Cliffs (2011)
Claus H., Schiehlen W.: Modeling and simulation of railway bogie structural vibrations. Veh. Syst. Dyn. 29(S1), 538–552 (1998)
Cojocaru E.C., Irschik H., Gattringer H.: Dynamic response of an elastic bridge due to a moving elastic beam. Comput. Struct. 82(11–12), 931–943 (2004)
Dassault Systèmes: ABAQUS Documentation, Providence, RI, United States (2012)
Delgado, R., Calcada, R., Goicolea, J.M., Gabaldon, F.: Dynamics of high-speed railway bridges. Selected and revised papers from the Advanced Course on ‘Dynamics of High-Speed Railway Bridges’, Porto, Portugal, 20–23 Sept 2005. CRC Press (2008)
Di Paola, M., Pirrotta, A.: Vehicle dynamic response considering front-to-rear excitation delay. In: Kareem, H., Spencer, J. (eds.) Proceedings 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability (PMC 2000), 24–26 July 2000, University of Notre Dame, Notre Dame, Indiana, digital paper, paper no. 255, p. 6 (2000)
Eurocode 1: EN 1991–2: Actions on structures (2003)
Frỳba L.: Dynamics of Railway Bridges. Thomas Telford Publishing, London (1996)
Frỳba L.: Vibration of Solids and Structures Under Moving Loads. Thomas Telford, London (1999)
Guo W.W., Xia H., De Roeck G., Liu K.: Integral model for train–track–bridge interaction on the Sesia viaduct: dynamic simulation and critical assessment. Comput. Struct. 112–113(C), 205–216 (2012)
Hurty W.C.: Vibrations of structural systems by component mode synthesis. J. Eng. Mech. Div. 86(4), 51–70 (1960)
Iwnicki S.: Handbook of Railway Vehicle Dynamics, 1st edn. CRC Press, Boca Raton (2006)
Johansson C., Nualláin N.Á.N., Pacoste C., Andersson A.: A methodology for the preliminary assessment of existing railway bridges for high-speed traffic. Eng. Struct. 58(C), 25–35 (2014)
Liu K., De Roeck G., Lombaert G.: The effect of dynamic train–bridge interaction on the bridge response during a train passage. J. Sound Vib. 325(1–2), 240–251 (2009)
MATLAB Release: The MathWorks, Inc., Natick, Massachusetts, United States (2013)
Museros P., Alarcon E.: Influence of the second bending mode on the response of high-speed bridges at resonance. J. Struct. Eng. 131(3), 405–415 (2005)
Nguyen D.V., Kim K.D., Warnitchai P.: Simulation procedure for vehicle–substructure dynamic interactions and wheel movements using linearized wheel–rail interfaces. Finite Elem. Anal. Des. 45(5), 341–356 (2009)
ÖBB Infrastruktur: Guideline for the dynamic analysis of railway bridges [in German] (2011)
Olmos J.M., Astiz M.A.: Analysis of the lateral dynamic response of high pier viaducts under high-speed train travel. Eng. Struct. 56(C), 1384–1401 (2013)
Pirrotta A., Cutrona S., Di Lorenzo S.: Fractional visco-elastic Timoshenko beam from elastic Euler–Bernoulli beam. Acta Mech. 226(1), 179–189 (2014)
Rieker J.R., Lin Y.H., Trethewey M.W.: Discretization considerations in moving load finite element beam models. Finite Elem. Anal. Des. 21(3), 129–144 (1996)
Rocha J.M., Henriques A.A., Calcada R.: Probabilistic safety assessment of a short span high-speed railway bridge. Eng. Struct. 71(C), 99–111 (2014)
Salcher, P., Adam, C.: Modelling strategies for bridges subjected to high-speed trains. In: Adam, C., Heuer, R., Lenhardt, W., Schranz, C. (eds.) Proceedings Vienna Congress on Recent Advances in Earthquake Engineering and Structural Dynamics 2013 (VEESD 2013), 28–30 Aug 2013, Vienna, Austria, digital paper, paper no. 100, p. 10 (2013)
Salcher, P., Pradlwarter, H., Adam, C.: Reliability of high-speed railway bridges with respect to uncertain characteristics. In: Proceedings of the 9th International Conference on Structural Dynamics 2014 (2014)
Shabana A.A., Zaazaa K.E., Sugiyama H.: Railroad Vehicle Dynamics. A Computational Approach. CRC Press, Boca Raton (2007)
UIC Leafleat 776-2: Design requirements for rail–bridges based on interaction phenomena between train, track and bridge (2009)
Xia H., Zhang N., De Roeck G.: Dynamic analysis of high speed railway bridge under articulated trains. Comput. Struct. 81(26–27), 2467–2478 (2003)
Xia H., Zhang N., Guo W.W.: Analysis of resonance mechanism and conditions of train–bridge system. J. Sound Vib. 297(3–5), 810–822 (2006)
Yang Y., Yau J., Wu Y.: Vehicle–Bridge Interaction Dynamics. With Applications to High–Speed Railways. World Scientific Publishing Company Incorporated, Singapore (2004)
Zhang N., Xia H., Guo W.: Vehicle–bridge interaction analysis under high-speed trains. J. Sound Vib. 309(3–5), 407–425 (2008)
Zhang N., Xia H., Guo W.W., De Roeck G.: A vehicle–bridge linear interaction model and its validation. Int. J. Struct. Stab. Dyn. 10(02), 335–361 (2010)
Ziegler F.: Mechanics of Solids and Fluids, 3rd edn. Springer, New York (1998)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Salcher, P., Adam, C. Modeling of dynamic train–bridge interaction in high-speed railways. Acta Mech 226, 2473–2495 (2015). https://doi.org/10.1007/s00707-015-1314-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-015-1314-6