Skip to main content
Log in

On the dynamics of two multi-span continuous beam bridges model coupled by their close environment

  • Published:
International Journal of Dynamics and Control Aims and scope Submit manuscript

Abstract

In this paper, we sought to develop a valid theoretical model of two bridges coupled via their dynamic environment modelled as a linear viscoelastic Winkler foundation. Analytical, numerical and experimental study of the dynamic response of the two bridges are explored in the cases where they are submitted to sinusoidal excitation and periodic impulsive force. The effects of the close environment and the distance between the two bridges on the amplitude of vibration of each beam bridge is pointed out.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Paultre P, Chaallal O, Proulx J (1992) Bridge dynamics and dynamic amplification factors—a review of analytical and experimental findings. Can J Civ Eng 19:260–278

    Article  Google Scholar 

  2. Meng J, Ghasemi H, Lui EM (2004) Analytical and experimental study of a skew bridge model. Eng Struct 26:1127–1142

    Article  Google Scholar 

  3. Liu K, Reynders E, De Roeck G, Lombaert G (2009) Experimental and numerical analysis of a composite bridge for high-speed trains. J Sound Vib 320:201–220

    Article  Google Scholar 

  4. Chatterjee RK, Datta TK, Surana CS (1994) Vibration of continuous bridges under moving vehicles. J Sound Vib 169:619–632

    Article  MATH  Google Scholar 

  5. Yang S, Fang X, Zhang J, Wang D (2016) Dynamic behavior of bridge-erecting machine subjected to moving mass suspended by wire ropes. J Appl Math Mech 36:741–748

    Article  MathSciNet  MATH  Google Scholar 

  6. Johansson C, Pacoste C, Karoumi R (2013) Closed-form for the mode superposition analysis of the vibration in muti-span beam bridges caused by concentrated moving loads. Comput Struct 119:85–94

    Article  Google Scholar 

  7. Bozdag E, Sunbuloglu E, Ersoy H (2006) Vibration analysis of new Galata Bridge: experimental and numerical results. Comput Struct 84:283–292

    Article  Google Scholar 

  8. Mekki OB (2007) Amortissement Semi-actif des Structures Flexibles: Application au Contrôle des Grands Ponts. XXVemes Rencontres Universitaires de Génie Civil—PRIX RENE HOUPERT

  9. Green MF, Cebon D (1994) Dynamic response of highway bridges to heavy vehicle loads: theory and experimental validation. J Sound Vib 170:51–78

    Article  Google Scholar 

  10. Marchesiello S, Fasana A, Garibaldi L, Piombo BAD (1999) Dynamics of multi-span continuous straight bridges subject to multi-degrees of freedom moving vehicle excitation. J Sound Vib 224:541–561

    Article  Google Scholar 

  11. Djanan AAN, Nbendjo BRN, Woafo P (2011) Control of vibration on a hinged-hinged beamunder a non-ideal excitation using RLC circuit with variable capacitance. Nonlinear Dyn 63:477–489

    Article  Google Scholar 

  12. Bouna HS, Nbendjo BRN (2012) Vibration control of a plate subjected to impulsive force by plate-type dynamic vibration absorbers. World J Mech 2:143–151

    Article  Google Scholar 

  13. Huang W, Zou Y (1994) The dynamic response of a viscoelastic Winkler foundation-supported elastic beam impacted by a low velocity projectile. Comput Struct 52:431–436

    Article  MATH  Google Scholar 

  14. Lu S, Xuejun D (1998) Dynamic analysis to infinite beam under a moving line load with uniform velocity. J Appl Math Mech 19:368–373

    MATH  Google Scholar 

  15. Semblat JF, Lenti L, Jacqueline D, Leblond JJ (2011) Railway vibrations induced into the soil: experiments, modelling and isolation. Revue Française de Géotechnique 23–36:134–135

  16. Semblat JF (1998) Amortissement et dispersion des ondes: points de vue physique et numérique. Revue française de génie civil 2:91–111

    Google Scholar 

  17. Gutowsky TG, Dym CL (1976) Propagation of ground vibration: a review. J Sound Vib 49:179–193

    Article  Google Scholar 

Download references

Acknowledgements

Part of this work was completed during a research visit of Prof Nana Nbendjo at the University of Kassel in Germany. He is grateful to the Alexander von Humboldt Foundation for financial support within the Georg Forster Fellowship. Prof Woafo acknowledge the support of the Humboldt Foundation (Germany) through the equipment Grant.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. R. Nana Nbendjo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bouna, H.S., Nana Nbendjo, B.R. & Woafo, P. On the dynamics of two multi-span continuous beam bridges model coupled by their close environment. Int. J. Dynam. Control 6, 29–40 (2018). https://doi.org/10.1007/s40435-016-0293-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40435-016-0293-3

Keywords

Navigation