Technical Papers
May 26, 2017

Efficient Three-Dimensional Building-Soil Model for the Prediction of Ground-Borne Vibrations in Buildings

Publication: Journal of Structural Engineering
Volume 143, Issue 9

Abstract

This paper proposes a new efficient model for the prediction of low-amplitude ground-borne vibrations in buildings. The model takes into account the three-dimensional nature of the building structure by analytical and semianalytical means, making it ideal for performing parametric studies or large-scale vibrations predictions. Its formulation assumes that the principal component in floor vibrations is the vertical one and assumes that the vibrations are transmitted to the various floors through the building columns. The correctness of the model is tested by comparing, in two 3-story building examples, its results with those obtained using a numerical model. Results regarding the isolation efficiency of implementing a thicker lower floor or columns with a larger cross section are also presented. The building-soil coupling is formulated considering piled foundations in a stratified soil. To ensure the computational efficiency of the calculations, the piles’ response to an incident wavefield is modeled considering the Novak pile model for a layered half-space. Finally, a study of the importance of the soil mechanical parameters in the considered problem is conducted using the building-soil coupled model.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The results presented have been obtained in the frame of ISIBUR project TRA2014-52718-R, “Innovative Solutions for the Isolation of Buildings from Underground Railway-Induced Vibrations” funded by the Spanish Ministry of Economy and Competitiveness. This financial support is gratefully acknowledged.

References

Athanasopoulos, G., and Pelekis, P. (2000). “Ground vibrations from sheetpile driving in urban environment: Measurements, analysis and effects on buildings and occupants.” Soil Dyn. Earthquake Eng., 19(5), 371–387.
Auersch, L. (2008). “Dynamic stiffness of foundations on inhomogeneous soils for a realistic prediction of vertical building resonance.” J. Geotech. Geoenviron. Eng., 328–340.
Auersch, L. (2010a). “Technically induced surface wave fields. I: Measured attenuation and theoretical amplitude-distance laws.” Bull. Seismol. Soc. Am., 100(4), 1528–1539.
Auersch, L. (2010b). “Technically induced surface wave fields. II: Measured and calculated admittance spectra.” Bull. Seismol. Soc. Am., 100(4), 1540–1550.
Baranov, V. A. (1967). “On the calculation of excited vibrations of an embedded foundation.” Vopr. Dyn. Prochn., 14, 195–209 (in Russian).
Crispino, M., and D’Apuzzo, M. (2001). “Measurement and prediction of traffic-induced vibrations in a heritage building.” J. Sound Vib., 246(2), 319–335.
Cryer, D. P. (1994). “Modelling of vibration in buildings with application to base isolation.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Fiala, P., Degrande, G., and Augusztinovicz, F. (2007). “Numerical modelling of ground-borne noise and vibration in buildings due to surface rail traffic.” J. Sound Vib., 301(3), 718–738.
Fiala, P., Gupta, S., Degrande, G., and Augusztinovicz, F. (2008). A numerical model for re-radiated noise in buildings from underground railways, Vol. 99, Springer, Berlin, 115–121.
Hood, R., Greer, R., Breslin, M., and Williams, P. (1996). “The calculation and assessment of ground-borne noise and perceptible vibration from trains in tunnels.” J. Sound Vib., 193(1), 215–225.
Hudson, D. (1956). “Response spectrum techniques in engineering seismology.” Proc., World Conf. on Earthquake Engineering, Berkeley, CA.
Hunt, H. E. M. (1995). “Prediction of vibration transmission from railways into buildings using models of infinite length.” Veh. Syst. Dyn., 24(sup1), 234–247.
Hussein, M., Hunt, H., Kuo, K., Alves Costa, P., and Barbosa, J. (2015). “The use of sub-modelling technique to calculate vibration in buildings from underground railways.” Proc. Inst. Mech. Eng. F-J. Rail Rapid Transit, 229(3), 303–314.
ISO. (2003). “Mechanical vibration and shock. Evaluation of human exposure to whole-body vibration. II: Vibration in buildings (1 Hz to 80 Hz).” ISO 2631-2:2003, Geneva.
ISO. (2005). “Mechanical vibration. Ground-borne noise and vibration arising from rail systems.” ISO 14837-1:2005, Geneva.
Jean, P., and Villot, M. (2000). “Study of the vibrational power injected to a wall excited by a ground surface wave.” J. Sound Vib., 231(3), 721–726.
Jennings, P., and Bielak, J. (1973). “Dynamics of building-soil interaction.” Bull. Seismol. Soc. Am., 63(1), 9–48.
Kausel, E. (2006). Fundamental solutions in elastodynamics: A compendium. Cambridge University Press, Cambridge, U.K.
Kausel, E., and Roësset, J. M. (1981). “Stiffness matrices for layered soils.” Bull. Seismol. Soc. Am., 71(6), 1743–1761.
Kaynia, A. M. (1982). “Dynamic stiffness and seismic response of pile groups.” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Kaynia, A. M., and Kausel, E. (1991). “Dynamics of piles and pile groups in layered soil media.” Soil Dyn. Earthquake Eng., 10(8), 386–401.
Kuo, K. A. (2010). “Vibration from underground railways: Considering piled foundations and twin tunnels.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Kuo, K. A., and Hunt, H. E. M. (2013a). “An efficient model for the dynamic behaviour of a single pile in viscoelastic soil.” J. Sound Vib., 332(10), 2549–2561.
Kuo, K. A., and Hunt, H. E. M. (2013b). “Dynamic models of piled foundations.” Appl. Mech. Rev., 65(3), 031003.
Kuppelwieser, H., and Ziegler, A. (1996). “A tool for predicting vibration and structure-borne noise immissions caused by railways.” J. Sound Vib., 193(1), 261–267.
Kurzweil, L. G. (1979). “Ground-borne noise and vibration from underground rail systems.” J. Sound Vib., 66(3), 363–370.
Leissa, A. W. (1973). “The free vibration of rectangular plates.” J. Sound Vib., 31(3), 257–293.
Lombaert, G., Degrande, G., François, S., and Thompson, D. J. (2015). Ground-borne vibration due to railway traffic: A review of excitation mechanisms, prediction methods and mitigation measures, Vol. 126, Springer, Berlin, 253–287.
Lopes, P., Alves Costa, P., Calçada, R., and Silva Cardoso, A. (2014). “Influence of soil stiffness on building vibrations due to railway traffic in tunnels: Numerical study.” Comput. Geotech., 61, 277–291.
Madshus, C., Bessason, B., and Hårvik, L. (1996). “Prediction model for low frequency vibration from high speed railways on soft ground.” J. Sound Vib., 193(1), 195–203.
MATLAB [Computer software]. MathWorks, Natick, MA.
MSC Nastran [Computer software]. MSC Software, Newport Beach, CA.
Newland, D. E., and Hunt, H. E. M. (1991). “Isolation of buildings from ground vibration: A review of recent progress.” Proc. Inst. Mech. Eng. C: Mech. Eng. Sci., 205(1), 39–52.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 574–598.
Rubin, S. (1975). “Improved component-mode representation for structural dynamic analysis.” AIAA J., 13(8), 995–1006.
Sanayei, M., and Kayiparambil, P. A., Moore, J. A., and Brett, C. R. (2014). “Measurement and prediction of train-induced vibrations in a full-scale building.” Eng. Struct., 77, 119–128.
Sanayei, M., Maurya, P., and Moore, J. A. (2013). “Measurement of building foundation and ground-borne vibrations due to surface trains and subways.” Eng. Struct., 53, 102–111.
Sanayei, M., Zhao, N., Maurya, P., Moore, J. A., Zapfe, J. A., and Hines, E. M. (2012). “Prediction and mitigation of building floor vibrations using a blocking floor.” J. Struct. Eng., 1181–1192.
Talbot, J. P. (2001). “On the performance of base-isolated buildings: A generic model.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Villot, M., Ropars, P., Jean, P., Bongini, E., and Poisson, F. (2011). “Modeling the influence of structural modifications on the response of a building to railway vibration.” Noise Control Eng. J., 59(6), 641.
Waller, R. A. (1969). Building on springs, Pergamon Press, Oxford, U.K.
Warburton, G. B. (1954). “The vibration of rectangular plates.” Proc. Inst. Mech. Eng., 168(1), 371–384.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 9September 2017

History

Received: Mar 31, 2016
Accepted: Feb 21, 2017
Published online: May 26, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 26, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Research Associate, Dept. of Engineering, Univ. of Cambridge, Trumpington St., Cambridge CB2 1PZ, U.K. (corresponding author). E-mail: [email protected]
Robert Arcos
Serra Húnter Fellow, Acoustical and Mechanical Engineering Laboratory, Universitat Politècnica de Catalunya, Terrassa, 08222 Barcelona, Spain.
Jordi Romeu
Professor, Acoustical and Mechanical Engineering Laboratory, Universitat Politècnica de Catalunya, Terrassa, 08222 Barcelona, Spain.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share