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Application of 2D-infinite beam elements in dynamic analysis of train-track interaction

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Abstract

Railway structure is a structure with an infinite length for which its modeling is usually carried out by accepting some assumptions for boundary conditions. In practice, there are various methods of modeling by forming equations of motions and dynamic analysis. One of these methods is modeling the railway track by finite element method. Generally in such modeling, a limited length of a track is modeled and executed by implementing some boundary conditions. Assortment of boundary conditions has an effect on dynamic responses. To reduce such effects, usually the length of the track is chosen to such a measure to minimize the dynamic responses of the end points of the track elements to zero. Doing so would cause an increase in the length of the track and hence add to an equation’s degrees of freedom, volume of output and prolongation of analysis time. For this reason, a combination of finite elements and infinite beam elements (two end elements) has been proposed for railway track modeling. Also, matrices of mass, damping and stiffness of one infinite element which has been laid on a visco-elastic bed, have been calculated by implementing selected shape functions. Therefore, by applying two infinite beam elements on either side of the model, a railway track is formed like a beam on an elastic bed which creates the possibility of eliminating the boundary condition effects.

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Author information

Authors and Affiliations

  1. School of Railway Engineering, Iran University of Science and Technology, Tehran, 16846-13114, Iran

    Jabbar Ali Zakeri

  2. School of Civil Engineering & Architecture, Beijing Jiaotong University, Beijing, 100084, China

    He Xia

Authors
  1. Jabbar Ali Zakeri
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  2. He Xia
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Corresponding author

Correspondence to Jabbar Ali Zakeri.

Additional information

This paper was recommended for publication in revised form by Associate Editor Hong Hee Yoo

Jabbar Ali Zakeri received a B.S. degree in civil Engineering and MSc. Degree in structural engineering from Tabriz University in 1992 and 1995, respectively. He then went on to receive his Ph.D. degrees in Road and Railway Engineering from Beijing Jiaotong University in 1997. Dr. Zakeri is currently an Assistant Professor at the School of Railway Engineering at Iran University of Science and Technology. Dr. Zakeri’s research interests are in the area of dynamic analysis of train — track interaction, railway track dynamics, track maintenance and construction.

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Zakeri, J.A., Xia, H. Application of 2D-infinite beam elements in dynamic analysis of train-track interaction. J Mech Sci Technol 23, 1415–1421 (2009). https://doi.org/10.1007/s12206-008-1207-x

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  • DOI: https://doi.org/10.1007/s12206-008-1207-x

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