The Analysis of Vibration for Ballastless Track-Bridge Base on a Hybrid FE-SEA Method

Abstract:

In this study, the methods for combining statistical energy analysis (SEA) and the finite element method (FEM) for the vibration analysis of structures are studied. Using the two methods simultaneously isnt entirely extend a primarily low frequency method, the finite element method, and high frequency method, SEA, to the mid frequency region are addressed. This approach is intended to extend the frequency range for a FEM based vibration analysis . A new finite element elementl for elevated slab ballastless track is proposed in which the new model can be used for modeling the track structural constituents of elevated slab ballastless track. Using finite element method and Hamilton theory, the coupled equation of vehicle-track-bridge can be established. In calculating example, both the rail displacement induced by single four-layer beam model. Specifically, it showed that the method yields very good result and high performance in the numerical example of previous research.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 3213-3217
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.3213
• Online since: September 2013
• Authors: Wen Jun Luo, Xiao Yan Lei, Song Liang Lian
• Keywords: Finite Element Method (FEM), Statistical Energy Analysis, Vibration

References

[1] X.Y. Lei, Finite element method. (China Railway Publishing House, Beijing , 2000. In Chinese).

[2] R.S. Langley, P. Bremner, A hybrid method for the vibration analysis of complex structural-acoustic systems. (J. Acoust. Soc. Am. 105 (3), March 1999 ) pp.1657-1671.

DOI: 10.1121/1.426705

[3] R.S. Langley , V. Cotonia . Response variance prediction for uncertain vibro- acoustic systems using a hybrid deterministic-statistical method . (J. Acoust. Soc. Am, March 2007 ). pp.3445-3463.

DOI: 10.1121/1.2799499

[4] R.S. Langley, On the diffuse field reciprocity relationship and vibrational energy variance in a random subsystem at high frequencies. (J. Acoust. Soc. Am, March 2007 ) pp.913-921.

DOI: 10.1121/1.2409484

[5] X.Y. Lei, Nao Aki Noda. Analyses of Dynamic Response of Vehicle and Track Coupling System with Random Irregularity of Track Vertical Profile. Journal of Sound and Vibration, Vol. 258 (2002) No. 1, pp.147-165.

DOI: 10.1006/jsvi.2002.5107

[6] S.L. Lian, Dynamics of track structure. (Tongji University Press Shanghai 2001. In Chinese).

[7] Sato Y, Study on High-Frequency Vibration in Track Operation with High-Speed Trains, Quarterly Reports, Vol. 18 (1997) No. 3, pp.22-27.