Excitation Source Function of Ground Vibration from Urban Railway Traffic by an Inversion Procedure

Abstract:

The exciting source of ground vibration from urban rail generally consists two parts, a quasi-static load moving through the railway, and a dynamic interaction between wheel and rail. The latter is caused mainly from the wheel-rail unevenness, and usually described by a power spectral density function, PSD in brief. From the three dimensional point of view, this kind of exciting source can hardly be measured directly. A procedure is proposed to invert the source function from the ground vibrations observed at array. A dynamic coupled train-track-3D ground model is adopted to calculate the vibrations from given PSD. The Micro-Genetic Algorithm including the operators of the tournament selection, the uniform crossover and the re-initialization together with an elitist strategy is schemed to the inversion. The object function is designed as minimum of the sum of residua between calculated and observed ground vibration acceleration levels of 18 center frequencies, at 4 ground points and twice trains. The result shows that the ground vibration acceleration levels calculated from the obtained excitation source function agree with those from the observed data quite well, even for an additional point where the observed data have never been adopted in the inversion process.

• Periodical: Applied Mechanics and Materials (Volumes 226-228)
• Pages: 374-380
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.226-228.374
• Online since: November 2012
• Authors: Xia Xin Tao, Xin Zheng, Fu Tong Wang
• Keywords: Excitation Source, Ground Vibration, Inversion, Urban Rail Traffic

References

[1] M. Bahrekazemi, Train induced ground vibration and its prediction, Division of Soil and Rock Mechanics, Dept. of Civil and Architectural Engineering, Stockholm Royal Institute of Technology, (2004).

[2] X. TAO, X. ZHENG, and Q. XING, Virtual Inversion of Environment Vibration Source of Rail Traffic in Urban Area, Proceedings of the International conference on urban transport and the Environment in the 21st Century, UT2008, (2008).

DOI: 10.2495/ut080381

[3] C.J.C. Jones, and J.R. Block, J. Sound. Vib. 193, 205 (1996).

[4] M. Heckl, G. Hauck, and R. Wettschureck, J. Sound. Vib. 193 , 175 (1996).

[5] X. Sheng, C.J.C. Jones, and M. Petyt, J. Sound. Vib. 228, 129, (1999).

[6] H. Chebli, R. Othman, and D. Clouteau, Comput. Geotech. 35, 22, (2008).

[7] X. Sheng, C.J.C. Jones, and D.J. Thompson, J. Sound. Vib. 267, 621, (2003).

[8] X. Sheng, C.J.C. Jones, and D.J. Thompson, J. Sound. Vib. 293, 575, (2006).

[9] X. Sheng, C.J.C. Jones, and D.J. Thompson, J. Sound. Vib. 272, 937, (2004).

[10] P.C. Dings, and M.G. Dittrich, J. Sound. Vib. 193, 103, (1996).

[11] G. Lombaert, G. Degrande, J. Kogut, and S. Francois, J. Sound. Vib. 297, 512, (2006).

[12] G. Lombaert, and G. Degrande, J. Sound. Vib. 319, 103, (2009).

[13] X. Tao, F. Wang, X. Zheng, Y. Liu, and H. Lin, Validation of an inversion scheme for source of ground vibration near to urban railway. Proceedings of 4th International Symposium on Environmental Vibration: Prediction, Monitoring and Evaluation, (2009).

[14] F. Wang, X. Tao, and X. Zheng, Science China (accepted, in press), (2011).

[15] K. Krishnakumar, Micro-genetic algorithms for stationary and non-stationary function optimization, Proceedings of Intelligent Control and Adaptive Systems, (1989) November 7-8; Philadelphia, USA.

DOI: 10.1117/12.969927

[16] J. Wang, Q. Zhang, and G. Xu, Adv. Sci. Lett. 4, 2508, (2011).