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Direct numerical simulation of dynamic response of bridges subjected to vehicular loads

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Abstract

In this paper, the dynamics of multi-span thin plates loaded by masses moving with arbitrary trajectories have been numerically studied using modal decomposition. The partial differential equation of motion of the plate is derived from the classical plate theory; then, it is transformed into a number of ordinary differential equations coupled by interaction forces between the moving masses and plate surface. This procedure was successfully validated by comparison with the results of the literature. Moreover, the method applies to various boundary conditions and is not limited by the plate shape in principle. In addition, this method considerably reduces the computation time by a truncation on the number of vibration modes. In the numerical examples, the influence of the moving speed, number of masses, damping ratio, number of spans are examined.

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Acknowledgements

The present study was supported by the Newton Fund/British Council Institutional Links program.

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Authors and Affiliations

  1. Department of Structural Mechanic, National University of Civil Engineering, Hanoi, Vietnam

    Viet Hung Dang & Manh Hung Ha

Authors
  1. Viet Hung Dang
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  2. Manh Hung Ha
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Corresponding author

Correspondence to Viet Hung Dang.

Appendix

Appendix

The values of obtained eigenfrequency are listed in Table 3

Table 3 Eigenfrequency values of the multi-span plate computed by ABAQUS
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Dang, V.H., Ha, M.H. Direct numerical simulation of dynamic response of bridges subjected to vehicular loads. Int. J. Dynam. Control 9, 44–55 (2021). https://doi.org/10.1007/s40435-020-00650-x

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  • DOI: https://doi.org/10.1007/s40435-020-00650-x

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