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An Integrated Coupling Element for Vehicle-Rail-Bridge Interaction System with a Non-Uniform Continuous Bridge

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Abstract

An integrated coupling element considering wheel-rail interface for analyzing the dynamic responses of vehicle-rail-bridge interaction system with a non-uniform continuous bridge is presented. The governing equations of the interaction system are established first, and the solution procedure and assembly method of the coupling element are demonstrated. Finally, the accuracy, efficiency and function of the integrated coupling element are tested using two numerical examples. The influences of different combinations of rail and bridge element length in the coupling element on the solution are investigated, and the effects of different rail irregularities on the dynamic responses are discussed.

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References

  1. Frýba, L., Dynamics of Railway Bridges. London: Thomas Telford House, 1996.

    Book  MATH  Google Scholar 

  2. Frýba, L., Vibration of Solids and Structures under Moving Loads. Czech Republic: Thomas Telford House, 1999.

    Book  MATH  Google Scholar 

  3. Yang, Y.B., Yau, J.D. and Wu, Y.S., Vehicle-Bridge Interaction Dynamics: With Applications to High-Speed Railways. Singapore: World Scientific Publishing, 2004.

    Google Scholar 

  4. Yang, Y.B. and Yau, J.D., Vehicle-bridge interaction element for dynamic analysis. Journal of Structural Engineering, 1997, 123(11): 1512–1518.

    Article  Google Scholar 

  5. Yang, Y.B., Chang, C.H. and Yau, J.D., An element for analyzing vehicle-bridge systems considering vehicle’s pitching effect. International Journal for Numerical Methods in Engineering, 1999, 46(7): 1031–1047.

    Article  MATH  Google Scholar 

  6. Wu, C., Liu, X.W. and Huang, X.C., Alterable-element method for vehicle-bridge interaction considering the transient jump of wheel. Journal of Shanghai Jiaotong University (Science), 2008, 13: 330–335.

    Article  Google Scholar 

  7. Ju, S.H. and Lin, H.T., A finite element model of vehicle-bridge interaction considering braking and acceleration. Journal of Sound and Vibration, 2007, 303(1–2): 46–57.

    Article  Google Scholar 

  8. ERRI D214 Committee, Rail bridges for speeds higher than 200 km/h. Utrecht: Research report of the European Rail Research Institute, 1999.

  9. Cheng, Y.S., Au, F.T.K. and Cheung, Y.K., Vibration of railway bridges under a moving train by using bridge-track-vehicle element. Engineering Structures, 2001, 23: 1597–1606.

    Article  Google Scholar 

  10. Koh, C.G., Ong, J.S.Y., Chua, D.K.H. and Feng, J., Moving element method for train-track dynamics. International Journal for Numerical Methods in Engineering, 2003, 56: 1549–1567.

    Article  MATH  Google Scholar 

  11. Lou, P., A vehicle-track-bridge interaction element considering vehicle’s pitching effect. Finite Elements in Analysis and Design, 2005, 41(4): 397–427.

    Article  Google Scholar 

  12. Lou, P. and Zeng, Q.Y., Formulation of equations of motion of finite element form for vehicle-track-bridge interaction system with two types of vehicle model. International Journal for Numerical Methods in Engineering, 2005, 62(3): 435–474.

    Article  MATH  Google Scholar 

  13. Lou, P., Finite element analysis for train-track-bridge interaction system. Archive of Applied Mechanics, 2007, 77(10): 707–728.

    Article  MATH  Google Scholar 

  14. Lou, P., Yu, Z.W. and Au, F.T.K., Rail-bridge coupling element of unequal lengths for analysing train-track-bridge interaction systems. Applied Mathematical Modelling, 2012, 36(4): 1395–1414.

    Article  MathSciNet  MATH  Google Scholar 

  15. Yang, H.Y., Chen, Z.J., Zhang, H.L. and Huang, W., Vibration analysis of bridge under trains considering transient jump of wheel. Journal of Chongqing Jiaotong University (Natural Science), 2014, 33(2): 21–25 (in Chinese).

    Google Scholar 

  16. Yang, H.Y., Chen, Z.J., Zhang, H.L. and Fan, J.P., Dynamic analysis of train-rail-bridge interaction considering concrete creep of a multi-span simply supported bridge. Advances in Structural Engineering, 2014, 17(5): 709–720.

    Article  Google Scholar 

  17. Kargarnovin, M.H., Younesian, D., Thompson, D. and Jones, C., Ride comfort of high-speed trains travelling over railway bridges. Vehicle System Dynamics, 2005, 43(3): 173–199.

    Article  Google Scholar 

  18. Dinh, V.N., Kim, K.D. and Warnitchai, P., Simulation procedure for vehicle-substructure dynamic interactions and wheel movements using linearized wheel-rail interfaces. Finite Elements in Analysis and Design, 2009, 45(5): 341–356.

    Article  Google Scholar 

  19. Dinh, V.N., Kim, K.D. and Warnitchai, P., Dynamic analysis of three-dimensional bridge-high-speed train interactions using a wheel-rail contact model. Engineering Structures, 2009, 31(12): 3090–3106.

    Article  Google Scholar 

  20. Cheng, Y.S., Au, F.T.K., Cheung, Y.K. and Zheng, D.Y., On the separation between moving vehicles and bridge. Journal of Sound and Vibration, 1999, 222(5): 781–801.

    Article  Google Scholar 

  21. Bowe, C.J. and Mullarkey, T.P., Wheel-rail contact elements incorporating irregularities. Advances in Engineering Software, 2005, 36(11–12): 827–837.

    Article  Google Scholar 

  22. Zhang, Q.L., Vrouwenvelder, A. and Wardenier, J., Numerical simulation of train-bridge interactive dynamics. Computers and Structures, 2001, 79(10): 1059–1075.

    Article  Google Scholar 

  23. Liu, X.W., Xie, J., Wu, C. and Huang, X.C., Semi-analytical solution of vehicle-bridge interaction on transient jump of wheel. Engineering Structures, 2008, 30(9): 2401–2412.

    Article  Google Scholar 

  24. Leung, A.Y.T., Galerkin element method for non-uniform frames. Computers and Structures, 1995, 54(5): 819–834.

    Article  MATH  Google Scholar 

  25. Zheng, D.Y., Cheung, Y.K., Au, F.T.K. and Cheng, Y.S., Vibration of multi-span non-uniform beams under moving loads by using modified beam vibration functions. Journal of Sound and Vibration, 1998, 212(3): 455–467.

    Article  MATH  Google Scholar 

  26. Dugush, Y. A. and Eisenberger, M., Vibrations of non-uniform continuous beams under moving loads. Journal of Sound and Vibration, 2002, 254(5): 911–926.

    Article  Google Scholar 

  27. Martínez-Castro, A.E., Museros, P. and Castillo-Linares, A., Semi-analytic solution in the time domain for non-uniform multi-span Bernoulli-Euler beams traversed by moving loads. Journal of Sound and Vibration, 2006, 294(1–2): 278–297.

    Article  Google Scholar 

  28. Biondi, B., Muscolino, G. and Sofi, A., A substructure approach for the dynamic analysis of train-track-bridge system. Computers and Structures, 2005, 83(28–30): 2271–2281.

    Article  Google Scholar 

  29. Ates, S., Numerical modeling of continuous concrete box girder bridges considering construction stages. Applied Mathematical Modelling, 2011, 35: 3809–3820.

    Article  Google Scholar 

  30. Yau, J.D., Wu, Y.S. and Yang, Y.B., Impact response of bridges with elastic bearings to moving loads. Journal of Sound and Vibration, 2001, 248: 9–30.

    Article  Google Scholar 

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Correspondence to Zhijun Chen.

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Project supported by the National Natural Science Foundation of China (No. 51078164).

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Yang, H., Chen, Z., Li, S. et al. An Integrated Coupling Element for Vehicle-Rail-Bridge Interaction System with a Non-Uniform Continuous Bridge. Acta Mech. Solida Sin. 28, 313–330 (2015). https://doi.org/10.1016/S0894-9166(15)30018-5

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  • DOI: https://doi.org/10.1016/S0894-9166(15)30018-5

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