Dynamic models of railway track taking account of cross-section deformation at high frequency

TY - GEN

T1 - Dynamic models of railway track taking account of cross-section deformation at high frequency

AU - Yang, Jiannan

AU - Thompson, David

AU - Bhaskar, Atul

PY - 2012

Y1 - 2012

N2 - Track dynamic behaviour is important for the prediction of the rolling noise, corrugation growth and track damage. Various models have been developed in the literature but problems still remain. On the one hand, analytical models become insufficient because of the need to include cross-section deformation at high frequencies. On the other hand, FE models are straightforward but the truncation of the infinite length is unavoidable. A new tapered plate rail model is developed in this paper. This model takes into account all the main motions required for frequencies below 7 kHz. The rail head is represented by a rectangular beam, the web by a plate of constant thickness and the foot by a plate of variable thickness. The out-of-plane and in-plane motions of the plates are approximated using cubic and linear functions, respectively, based on the relevant wave speeds. Freely propagating waves in the rail are studied by means of Hamilton's principle. Comparing the results in terms of the dispersion relations, the tapered plate rail model shows good agreement with an FE model. Comparison with simpler beam models confirms the improvements at high frequencies due to the taper of the foot.

AB - Track dynamic behaviour is important for the prediction of the rolling noise, corrugation growth and track damage. Various models have been developed in the literature but problems still remain. On the one hand, analytical models become insufficient because of the need to include cross-section deformation at high frequencies. On the other hand, FE models are straightforward but the truncation of the infinite length is unavoidable. A new tapered plate rail model is developed in this paper. This model takes into account all the main motions required for frequencies below 7 kHz. The rail head is represented by a rectangular beam, the web by a plate of constant thickness and the foot by a plate of variable thickness. The out-of-plane and in-plane motions of the plates are approximated using cubic and linear functions, respectively, based on the relevant wave speeds. Freely propagating waves in the rail are studied by means of Hamilton's principle. Comparing the results in terms of the dispersion relations, the tapered plate rail model shows good agreement with an FE model. Comparison with simpler beam models confirms the improvements at high frequencies due to the taper of the foot.

UR - http://www.scopus.com/inward/record.url?scp=83455224787&partnerID=8YFLogxK

U2 - 10.1007/978-4-431-53927-8_15

DO - 10.1007/978-4-431-53927-8_15

M3 - Conference contribution

AN - SCOPUS:83455224787

SN - 9784431539261

T3 - Notes on Numerical Fluid Mechanics and Multidisciplinary Design

SP - 125

EP - 133

BT - Noise and Vibration Mitigation for Rail Transportation Systems

ER -