Effect of Inclined Soil Layers on Surface Vibration from Underground Railways Using the Thin-Layer Method
Publication: Journal of Engineering Mechanics
Volume 137, Issue 12
Abstract
Noise and vibration from underground railways is a documented disturbance for individuals living or working near subways. Numerical models are used to investigate and understand vibration propagation from these underground railways, although the models commonly include simplifying assumptions (i.e., assuming the soil is a horizontally layered, homogenous half-space). Such simplifying assumptions add a level of uncertainty to the predictions that is not well understood. The goal of the current paper is to quantify the effect of including layer inclination angles up to 5° in relation to the surface. The thin-layer method (TLM) is introduced as an efficient and accurate means of simulating vibration from underground railways in arbitrarily layered half-spaces. The TLM is an element-based approach that uses the analytical wave equation to describe vibration in the horizontal direction, whereas assuming displacements in the vertical direction can be described by using a linear shape-function. The method is used to simulate a half-space with an inclined layer and is shown to be both accurate and computationally faster than a boundary-element model in predicting surface RMS velocities. The sensitivity of surface vibrations to inclination angle is also investigated, and the results suggest that small inclination angles of 5° or less can cause significant variation in RMS response of approximately 5 dB.
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Acknowledgments
This work was funded in part by the Gates Cambridge Trust and the Natural Sciences and Engineering Research Council of Canada.
References
Andersen, L., and Jones, C. (2006). “Coupled boundary and finite element analysis of vibration from railway tunnels—A comparison of two- and three-dimensional models.” J. Sound Vib., 293(3-5), 611–625.
Andrade, P. (1999). “Implementation of second-order absorbing boundary conditions in frequency-domain computations.” Ph.D. thesis, Univ. of Texas at Austin.
Becker, A. (1992). The boundary element method in engineering: A complete course, McGraw-Hill, London.
Berglund, B., Lindvall, T., Schwela, D., and Kee-Tai, G. (2000). Guidelines for community noise, World Health Organization, London.
British Standards Institution (BSI). (1992). “Guide to evaluation of human exposure to vibration in buildings (1 Hz to 80 Hz).” BS 6472, BSI, London.
British Standards Institution (BSI). (2005). “Mechanical vibration. Ground-borne noise and vibration arising from rail systems. General guidance.” BS ISO 14837-1:2005, BSI, London.
Clouteau, D., Arnst, M., Al-Hussaini, T., and Degrande, G. (2005). “Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium.” J. Sound Vib., 283(1-2), 173–199.
Degrande, G., et al. (2006). “A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element—Boundary element formulation.” J. Sound Vib., 293(3-5), 645–666.
Dinges, D., et al. (1997). “Cumulative sleepiness, mood disturbance, and psychomotor vigilance performance decrements during a week of sleep restricted to 4-5 hours per night.” Sleep (N. Y.), 20(4), 267–277.
Dominguez, J. (1993). Boundary elements in dynamics, Elsevier Applied Science, London.
Ferrara, M., and De Gennaro, L. (2001). “How much sleep do we need?” Sleep Med. Rev., 5(2), 155–179.
Fidell, S., Barber, D., and Schultz, T. (1991). “Updating a dosage-effect relationship for the prevalence of annoyance due to general transportation noise.” J. Acoust. Soc. Am., 89(1), 221–233.
Graff, K. (1991). “Wave motion in elastic solids.” Dover Publications, Dover, U.K.
Greer, R., and Manning, C. (1998). “Vibration isolation for railways.” Acoust. Bull., 23(3), 13–17.
Hull, S., and Kausel, E. (1984). “Dynamic loads in layered halfspaces.” Proc., 5th Engineering Mechanics Division Specialty Conf., Univ. of Wyoming, Laramie, WY, 201–204.
Hussein, M. (2004). “Vibration from underground railways.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Jones, S., and Hunt, H. (2011). “Voids at the tunnel-soil interface for calculation of ground vibration from underground railways.” J. Sound Vib., 330(2), 245–270.
Kausel, E., and Roësset, J. (1977). “Semianalytic hyperelement for layered strata.” J. Engrg. Mech. Div., 103(EM4), 569–588.
Miedema, H., and Vos, H. (1998). “Exposure-response relationships for transportation noise.” J. Acoust. Soc. Am., 104(6), 3432–3445.
Sheng, X., Jones, C., and Thompson, D. (2006). “Prediction of ground vibration from trains using the wavenumber finite and boundary element methods.” J. Sound Vib., 293(3-5), 575–586.
Waas, G. (1972). “Linear two-dimensional analysis of soil dynamics problems in semi-infinite layered media.” Ph.D. thesis, Univ. of California Berkeley.
Walker, J., and Chan, M. (1996). “Human response to structurally radiated noise due to underground railway operations.” J. Sound Vib., 193(1), 49–63.
Woods, R. (1968). “Screening of surface waves in soils.” J. Soil Mech. and Found. Div., SM4, 951–979.
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© 2011 American Society of Civil Engineers.
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Received: Oct 12, 2010
Accepted: Jun 23, 2011
Published online: Jun 25, 2011
Published in print: Dec 1, 2011
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