Frequency Domain Analysis of Train–Guideway Interaction Dynamics
Publication: Journal of Structural Engineering
Volume 144, Issue 8
Abstract
A frequency domain approach to dynamic analysis of train–girder interaction is presented. The method is based on the calculation of a harmonic transfer matrix for the system, using the principle of harmonic balance. Results of the analysis are verified by comparison with a numerical integration using Newmark’s method. It is demonstrated that the frequency domain approach is able to model stochastic track irregularity without the need for a Monte Carlo approach, as is required when numerical integration is used. The method also leads naturally to a linear least-squares optimization problem giving the best camber shape for reducing train vibrations. Train vibrations are evaluated using a ride comfort index based on weighted third-octave acceleration magnitudes. Through an illustrative example, it is shown that camber can reduce the total frequency-weighted acceleration level by 22%.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work has been generously supported by a graduate scholarship from the Canadian Precast Prestressed Concrete Institute.
References
Cheung, Y. K., F. T. K. Au, D. Y. Zheng, and Y. S. Cheng. 1999. “Vibration of multi-span non-uniform bridges under moving vehicles and trains by using modified beam vibration functions.” J. Sound Vib. 228 (3): 1–18. https://doi.org/10.1006/jsvi.1999.2423.
Hamid, A., K. Rasmussen, M. Baluja, and T.-L. Yang, eds. 1983. Analytical descriptions of track geometry variations (DOT/FRA/ORD-83/03.1). Washington, DC: Federal Railroad Administration.
Hubbell, D., and P. Gauvreau. 2016. “Flexural design of light rail guideway girders using ultra-high-performance fibre-reinforced concrete and glass-fibre-reinforced polymer.” In Proc., CICE 2016, 875–880. Kingston, ON, Canada: International Institute for FRP in Construction.
ISO. 1997. Mechanical vibration and shock—Evaluation of human exposure to whole-body vibration. 1: General requirements. ISO 2631-1. Geneva, Switzerland: ISO.
ISO. 2001. Mechanical vibration and shock—Evaluation of human exposure to whole-body vibration. 4: Guidelines for the evaluation of the effects of vibration and rotational motion on passenger and crew comfort in fixed-guideway transport systems. ISO 2631-4. Geneva, Switzerland: ISO.
Johansson, C., N. Nuallin, C. Pacoste, and A. Andersson. 2014. “A methodology for the preliminary assessment of existing railway bridges for high-speed traffic.” Supplement, Eng. Struct. 58 (C): 25–35. https://doi.org/10.1109/TAC.2005.860294.
Sandberg, H., E. Mollerstedt, and B. Bernhardsson. 2005. “Frequency-domain analysis of linear time-periodic systems.” IEEE Trans. Autom. Control 50 (12): 1971–1983. https://doi.org/10.1109/TAC.2005.860294.
Wereley, N. M. 1991. “Analysis and control of linear periodically time varying systems.” Ph.D. thesis, Massachusetts Institute of Technology.
Yang, Y. B., and B. H. Lin. 1995. “Vehicle-bridge interaction analysis by dynamic condensation method.” J. Struct. Eng. 121 (11): 1636–1643. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:11(1636).
Yau, J. D., and L. Frýba. 2015. “A quasi-vehicle/bridge interaction model for high speed railways.” J. Mech. 31 (2): 217–225. https://doi.org/10.1017/jmech.2014.89.
Zhu, X. Q., and S. S. Law. 2016. “Recent developments in inverse problems of vehicle-bridge interaction dynamics.” J. Civ. Struct. Health Monit. 6 (1): 107–128. https://doi.org/10.1007/s13349-016-0155-x.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 144 • Issue 8 • August 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: May 25, 2017
Accepted: Jan 11, 2018
Published online: May 24, 2018
Published in print: Aug 1, 2018
Discussion open until: Oct 24, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.