Skip to main content
Log in

Reliability analysis of the bridge dynamic response in a stochastic vehicle-bridge interaction

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope Submit manuscript

Abstract

Modelling and simulation of the bridge response during vehicle crossing is of the utmost importance in bridge design. In previous works some studies have been conducted on this issue, but parametric statistical investigations and reliability analysis of the bridge response are not studied in the reported literature. In this research, after modelling the bridge-vehicle system, the uncertainties of the vehicles is produced using Gaussian probability distribution function and the statistical parameters of the response is extracted by Monte-Carlo simulation. The results, which are based on the confidence intervals and the variance of the statistical parameters, are obtained to study the effects of uncertainties on the dynamic response of the bridge. In addition, the probabilities of failure are calculated to illustrate a quantitative measure for the simulated statistical results. The most effective parameters on the uncertainty of the bridge response are also presented in this paper.

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.

Similar content being viewed by others

References

  • Bhattacharyya, G. K. and Richard, A. (1977). Statistical concepts and methods, Johnson John Wiley & Sons.

    Google Scholar 

  • CarSim (2013). Mechanical simulation corporation, USA.

    Google Scholar 

  • Da Silva, J. G. S. (2004). “Dynamical performance of highway bridge decks with irregular pavement surface.” Computers & Structures, Vol. 82, Issues 11–12, pp. 871–881.

    Article  Google Scholar 

  • Ding, L., Hao, H., and Zhu, X. (2009). “Evaluation of dynamic vehicle axle loads on bridges with different surface conditions.” Journal of Sound and Vibration, Vol. 323, Issues 3–5, pp. 826–848.

    Article  Google Scholar 

  • Henchi, K., Fafard, M., Talbot, M., and Dhatt, G. (1998). “An efficient algorithm for dynamic analysis of bridges under moving vehicles using a coupled modal and physical components approach.” Journal of Sound and Vibration, Vol. 212, Issue 4, pp. 663–83.

    Article  Google Scholar 

  • ISO 8606 (1995). Mechanical vibration-Road surface profiles-Reporting of measured data, International Organization for Standardization.

    Google Scholar 

  • Law, S. and Wu, S. (2011). “Dynamic analysis of bridge with non-Gaussian uncertainties under moving vehicles.” Probabilistic Engineering Mechanics, Vol. 26, Issue 2, pp. 281–293.

    Article  Google Scholar 

  • Liu, N., Gao, W., Song, C., and Zhang, N. (2011). “Probabilistic dynamic analysis of vehicle-bridge interaction with uncertain parameters.” Computer Modeling in Engineering & Sciences, Vol. 72, No. 2, pp. 72–102.

    MathSciNet  Google Scholar 

  • Lu, F., Lin, J., Kennedy, D., and Williams, F. (2009). “An algorithm to study non stationary random vibrations of vehicle-bridge systems.” Computers and Structures, Vol. 87, Issues 3–4, pp. 177–185.

    Article  Google Scholar 

  • Marple, S. L. (1987). Digital spectral analysis, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  • Muscolino, G., Benfratello, S., and Sidoti, A. (2002). “Dynamics analysis of distributed parameter system subjected to a moving oscillator with random mass, velocity and acceleration.” Probabilistic Engineering Mechanics, Vol. 17, Issue 1, pp. 63–72.

    Article  Google Scholar 

  • Schenk, C. A. and Bergman, L. A. (2003). “Response of continuous system with stochastically varying surface roughness to moving load.” Journal of Engineering Mechanics, ASCE, Vol. 129, Issue 7, pp. 759–68.

    Article  Google Scholar 

  • Seetapan, P. (2006). “Dynamic responses of a two-span beam subjected to high speed 2DOF of sprung vehicles.” International Journal of Structural Stability and Dynamics, Vol. 6, Issue 3, pp. 413–30.

    Article  Google Scholar 

  • Thoft-Christensen, P. and Baker, M. J. (1982). Structural reliability theory and its applications, Springer Verlag.

    Book  MATH  Google Scholar 

  • Weaver, W. and Johnstone, P. R. (1987). Structural dynamics by finite elements, Prentice-Hall.

    Google Scholar 

  • Wu, S. Q. and Law, S. S. (2010). “Moving force identification based on stochastic finite element model.” Engineering Structures, Vol. 32, Issue 4, pp. 1016–1027.

    Article  Google Scholar 

  • Wu, S. Q. and Law, S. S. (2011). “Vehicle axle load identification on bridge deck with irregular road surface profile.” Engineering Structures, Vol. 33, Issue 2, pp. 591–601.

    Article  Google Scholar 

  • Wu, S. Q. and Law, S. S. (2012). “Evaluating the response statistics of an uncertain bridge-vehicle system.” Mechanical Systems and Signal Processing, Vol. 27, pp. 576–589.

    Article  Google Scholar 

  • Wyss, J.-C., Su, D., and Fujino, Y. (2011). “Prediction of vehicleinduced local responses and application to a skewed girder bridge.” Engineering Structures, Vol. 33, Issue 4, pp. 1088–1097.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mir Mohammad Ettefagh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ettefagh, M.M., Behkamkia, D., Pedrammehr, S. et al. Reliability analysis of the bridge dynamic response in a stochastic vehicle-bridge interaction. KSCE J Civ Eng 19, 220–232 (2015). https://doi.org/10.1007/s12205-013-0388-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-013-0388-8

Keywords

Navigation