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Vibrations Induced by Harmonic Loadings Applied at Circular Plate on Layered Medium

Published online by Cambridge University Press:  20 December 2012

Gin-Show Liou
Gin-Show Liou*
Affiliation:
Department of Civil Engineering, National Chiao-Tung University, Hsin-Chu, Taiwan 30049, R.O.C.
*
*Corresponding author ([email protected])
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Abstract

A systematic procedure is developed to calculate ground vibration at any specific location in layered medium due to harmonic loadings applied at a circular plate on the medium. In the procedure, the technique decomposing the interaction tractions between excited plate and layered medium will be employed. The decomposed tractions will automatically match boundary values of general solutions of three dimensional wave equations in cylindrical coordinates. In numerical results, the effect of layered stratum on ground vibration will be investigated and how ground vibration in layered medium decreases with depth will be presented. Also, from the numerical results, one can observe ground vibration may not decay monotonically along distance away from vibration source. The presented scheme is proved to be effective and efficient for accurately predicting near-field ground response to harmonic loadings applied at a rigid circular plate on layered medium. Comments on the presented scheme and numerical results will be given.

Keywords

Near-fieldGround vibrationsLayered mediumWave propagation
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 197 - 206
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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References

REFERENCES

1.Ahmad, S. and Al-Hussaini, T. M., “Simplified Design for Vibration Screening by Open and In-Filled Trenches,” Journal of Geotech Engineering, ASCE, 117, pp. 67–88 (1991).Google Scholar
2.Lu, Jian-Fei., Xu, Bin. and Wang, Jian-Hun, “Numerical Analysis of Isolation of the Vibration Due to Moving Loads Using Pile Rows,” Journal of Sound and Vibration, 319, pp. 940–962 (2009).CrossRefGoogle Scholar
3.Takemiya, H., “Field Vibration Mitigation by Honeycomb WIB for Pile Foundations of a High- Speed Train Viaduct,” Soil Dynamics and Earthquake Engineering, 24, pp. 69–87 (2004).Google Scholar
4.Sheng, X., Jones, C. J. C. and Petyt, M., “Ground Vibration Generated by a Load Moving Along a Railway Track,” Journal of Sound and Vibration, 228, pp. 129–156 (1999).CrossRefGoogle Scholar
5.Krylov, V. V., “Vibrational Impact of High-Speed Trains. I. Effect of Track Dynamics,” Journal of the Acoustical Society of America, 100, pp. 3121–3134 (1996).CrossRefGoogle Scholar
6.Kaynic, A. M., Madshus, C. and Zackrisson, P., “Ground Vibration from High-Speed Train: Prediction and Countermeasure,” Journal of Geotechnical and Geoenvironmental Engineering, 126, pp. 0531–0573 (2000).Google Scholar
7.Karlstrom, A., “An Analytical Model for Ground Vibrations from Accelerating Trains,” Journal of Sound and Vibration, 293, pp. 587–598 (2006).Google Scholar
8.Apsel, R. J. and Luco, J. E., “On the Green's Functions for a Layered Half-Space, Part II,” Bulletin of Seismological Society of America, 73, pp. 931–951 (1983).Google Scholar
9.Yeh, C.-S., Teng, T.-J., Liao, W.-I. and Chai, J.-F., “The Transition Matrix for the Scattering of Elastic Waves in a Half-Space,” Journal of the Chinese Institute of Engineers, 30, pp. 983–996 (2007).CrossRefGoogle Scholar
10.Vostroukhov, A. V., Verichev, S. N., Kok, A. W. M. and Esveld, C., “Steady-State Response of a Stratified Half-Space Subjected to a Horizontal Arbitrary Buried Uniform Load Appied at a Circular Area,” Soil Dynamics and Earthquake Engineering, 24, pp. 449–459 (2004).CrossRefGoogle Scholar
11.Liou, G.-S., “Vibrations Induced by Harmonic Loadings Applied at Circular Rigid Plate on Half-Space Medium,” Journal of Sound and Vibration, 323, pp. 257–269 (2009).Google Scholar
12.Liou, G.-S., “Further Investigation of Vibrations Induced by Harmonic Loadings Applied at Circular Rigid Plate on Half-Space Medium,” Journal of Chinese Institute of Engineers, 34, pp. 995–996 (2011).CrossRefGoogle Scholar
13.Woods, R. D. and Larry, P. J., “Energy-Attenuation Relationships from Construction Vibrations,” Proceedings of Vibration Problems in Geotechnical Engineering Convention, Detroit, Michigan, pp. 229–246 (1985).Google Scholar
14.Liou, G.-S. and Chung, I-L., “Impedance Matrices for Circular Foundation Embedded in Layered Medium,” Soil Dynamics Earthquake Engineering, 29, pp. 677–692 (2009).CrossRefGoogle Scholar