Dynamic Response of Suspension Bridge to Typhoon and Trains. II: Numerical Results
Publication: Journal of Structural Engineering
Volume 133, Issue 1
Abstract
The field measurement results of the Tsing Ma suspension bridge under cross winds and running trains during Typhoon York have been presented in Part I of this study. The field measurement results are used in this paper (Paper II) to verify, to some extent, the finite element based framework developed by the writers in the time domain for predicting dynamic response of coupled train and bridge systems in cross winds. In this regard, a three-dimensional finite element model is used to model the Tsing Ma suspension bridge. Wind forces acting on the bridge are generated in the time domain using a fast spectral representation method and based on the field measurement results and wind tunnel test results. Each coach in a train running on the bridge is modeled by a -of-freedom dynamic system. The dynamic interaction between the bridge and the train is realized through the contact forces between the wheels and the track. Track irregularity is simulated using a high-order multivariate autoregressive model, whereas wheel hunting is assumed to be a sinusoidal function with a random phase. The acceleration and displacement responses of the bridge under cross winds and running trains are computed and compared with the responses measured from the field for four cases. The comparison is found to be satisfactory in general. The dynamic response and performance of trains on the bridge is also computed and evaluated. The proposed framework is found to be feasible and practical.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers wish to acknowledge the financial support from the Research Grants Council of Hong Kong (Project No. PolyU 5043/01E) and the Education Ministry of China (Project No. 20040004022). Sincere thanks should also go to the Highways Department of Hong Kong for providing the writers with the field measurement data. Any opinions and concluding remarks presented in this paper are entirely those of the writers.
References
Au, F. T. K., Wang, J. J., and Cheung, Y. K. (2001). “Impact study of cable-stayed bridge under railway traffic using various models.” J. Sound Vib., 240, 447–465.
Cao, Y., Xiang, H., and Zhou, Y. (2000). “Simulation of stochastic wind velocity field on long-span bridges.” J. Eng. Mech., 126(1), 1–6.
Chen, J., Xu, Y. L., and Zhang, R. C. (2004). “Modal parameter identification of Tsing Ma suspension bridge under Typhoon Victor: EMD-HT method.” J. Wind. Eng. Ind. Aerodyn., 92(10), 805–827.
Chen, X., and Matsumoto, M., and Kareem, A. (2000). “Time domain flutter and buffeting response analysis of bridges.” J. Eng. Mech., 126(1), 7–16.
Diana, G., and Cheli, F. (1989). “Dynamic interaction of railway systems with large bridges,” Veh. Syst. Dyn., 18, 71–106.
Lau, C. K., Wong, K. Y., and Chan, K. W. Y. (1998). “Preliminary monitoring results of Tsing Ma Bridge.” Proc., 14th National Conf. on Bridge Engineering, Shanghai, Vol. 2, 730–740 (in Chinese).
Lin, Y. K., and Yang, J. N. (1983). “Multimode bridge response to wind excitations.” J. Eng. Mech., 109(2), 586–603.
Marple, S. L. (1987). Digital spectral analysis with applications, Prentice-Hall, Englewood Cliffs, N.J.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: Fundamentals and applications to design, Wiley, New York.
Xia, H., Xu, Y. L., and Chan, T. H. T. (2000). “Dynamic interaction of long suspension bridges with running trains.” J. Sound Vib., 237, 263–280.
Xu, Y. L., Ko, J. M., and Zhang, W. S. (1997). “Vibration studies of Tsing Ma suspension bridge.” J. Bridge Eng., 2(4), 149–156.
Xu, Y. L., Xia, H., and Yan, Q. S. (2003). “Dynamic response of suspension bridge to high wind and running train.” J. Bridge Eng., 8(1), 46–55.
Yang, Y. B., and Yau, J. D. (1997). “Vehicle-bridge interaction element for dynamic analysis.” J. Struct. Eng., 123(11), 1512–1518.
Zhang, Q. L., Vrouwenvelder A., and Wardenier, J. (2001). “Numerical simulation of train-bridge interactive dynamics.” Comput. Struct., 79(10), 1059–1075.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: Aug 9, 2005
Accepted: May 10, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: Abhinav Gupta
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.