Effect of Mass of Moving Load on Dynamic Response of a Simply Supported Railway Bridge

Rohit Kumar Mittal*, Vutukuru Krishna Sai**, Pabitra Ranjan Maiti***
*-** PG Scholar, Department of Civil Engineering, Indian Institute of Technology (BHU), Varanasi, India.
*** Associate Professor, Department of Civil Engineering, Indian Institute of Technology (BHU), Varanasi, India.
Periodicity:December - February'2017
DOI : https://doi.org/10.26634/jste.5.4.10391

Abstract

Moving loads have great impact on structures. On one side, concentrated load moving with high speed induces dynamic impact on structures, influencing their working state and service life. On the other side, these vibrations of the bridge caused due to moving load in turn affect the running stability and safety of moving load.Only in case of short span bridges when mass of moving load is comparable to mass of the bridge, moving load is also taken into account to perform dynamic analysis of the bridge. Displacement response to variation in speed of moving load at different damping of the bridge are plotted and compared when deflection is to be considered at different locations on the bridge. It is observed that when concentrated load moves with critical speed, maximum deflection takes place at mid span of the bridge. When damping is taken into account, a point of singularity occurs below which derived governing equation holds good. The effect of mass of moving load on the dynamic response of the bridge is studied and it is concluded that governing equation in both cases, i.e. without considering the mass of moving load and with consideration of mass of moving load, overlap each other.

Keywords

Critical Speed, Concentrated Moving Load, Dynamic Response, Maximum Deflection, Point of Singularity.

How to Cite this Article?

Mittal, R.K., Sai, V.K., and Maiti, P.R. (2017). Effect of Mass of Moving Load on Dynamic Response of a Simply Supported Railway Bridge. i-manager’s Journal on Structural Engineering, 5(4), 23-29. https://doi.org/10.26634/jste.5.4.10391

References

[1]. R. Willis, (1849). Appendix to the Report of the Commissioners Appointed to Inquire into the Application of Iron to Railway Structures. H.M. Stationary Office, London, UK.
[2]. G.G. Stokes, (1849). “Discussion of a differential equation relating to the braking of railway bridges”. Transactions of the Cambridge Philosophical Society, Vol.8, No.5, pp.707–735.
[3]. C.E. Inglis, (1934). A Mathematical Treatise on Vibration in Railway Bridges. Cambridge University Press, Cambridge, UK.
[4]. S.P. Timoshenko, (1922). “On the forced vibrations of bridges”. Philosophical Magazine Series, Vol.6, No.43, pp.1018–1019.
[5]. J.M. Biggs, (1964). Introduction to Structural Dynamics. McGraw-Hill, New York.
[6]. Esmailzadeh E., and Ghorashi M. (1997). “Vibration analysis of beams traversed byuniform partially distributed moving masses”. J. of Sound and Vibration, Vol.184, No.1, pp.9- 17.
[7]. Fryba, L. (2001). “A rough assessment of railway bridges for high speed trains”. Eng. Struct., Vol.23, No.5, pp.548-556.
[8]. B. Lena, (2004). Dynamic Analysis of a Railway Bridge subjected to High Speed Trains. (Master Thesis). Royal Institute of Technology, Stockholm.
[9]. Majka, M., and Hartnett, M., (2008). “Effects of speed, load and damping on the dynamic response of railway bridge and vehicles”. Comput. Struct., Vol.86, No.6, pp.556-572.
[10]. Liu K., Roeck G. De, and Lombaert G., (2009). “The effect of dynamic train bridge interaction on the bridge response during a train passage”. J. Sound and Vibration, Vol. 325, No.1, pp.240-251.
[11]. Mao Lei, and Lu Yang, (2013). “Critical speed and resonance criteria of Railway Bridge response to moving trains”. Journal of Bridge Engg., Vol.18, No.2, pp.131-141.
[12]. Domenech A. Museros P., and Martinez Rodrigo M.D., (2014). “Influence of the vehicle model on the prediction of the maximum bending response of simply supported bridges under high speed railway traffic”. Engineering Structures, Vol.72, pp.123-139.
[13]. Ruiz A.C. Alonso T.R., and Perez C.I., (2014). “Dynamic response of high speed railway bridge decks with beams transverse to the direction of track”. J. of Bridge Engineering, Vol.19, No.11, pp.1- 12.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.