Propagation Attenuation of Plane Waves in Single-Phased Soil by Periodic Pile Barriers
Publication: International Journal of Geomechanics
Volume 18, Issue 6
Abstract
Pile barriers have been broadly used to decrease the effect of ground vibration generated by machines or traffic. In recent years, the periodic theory of solid-state physics was introduced to study the reduction characteristics of periodic pile barriers. In the present paper, a finite-element method based on a partial differential equation (PDE) is introduced to study the propagation and attenuation of plane waves in single-phased soil by pile barriers. In this method, single-phased soil and pile barriers are considered as a periodic system, and the attenuation zones (AZs) of this periodic system are further calculated based on the plane-strain assumption. The influences of soil types and pile configurations on the AZs are comprehensively considered. To verify the existence of AZs using the periodic pile barriers, both two-dimensional and three-dimensional finite periodic pile barrier models were built, and the vibration reduction was analyzed in the frequency domain. After that, based on a practical ambient vibration wave, a periodic pile barrier system was designed, and the isolation effectiveness was verified by numerical simulations in the time domain. The present investigation provides a new method for designing pile barriers to block midfrequency vibration in single-phased soil.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant 51678046).
References
Ameratunga, J., Sivakugan, N., and Das, B. M. (2016). Correlations of soil and rock properties in geotechnical engineering, Springer, Berlin.
Avilés, J., and Sánchez-Sesma, F. J. (1983). “Piles as barriers for elastic waves.” J. Geotech. Eng., 1133–1146.
Avilés, J., and Sánchez-Sesma, F. J. (1988). “Foundation isolation from vibrations using piles as barriers.” J. Eng. Mech., 1854–1870.
Boroomand, B., and Kaynia, A. M. (1991). “Vibration isolation by an array of piles.” Proc., 5th Int. Conf. on Soil Dynamics and Earthquake Engineering, Elsevier, Amsterdam, Netherlands, 683–691.
Cai, Y. Q., Ding, G. Y., and Xu, C. J. (2008). “Screening of plane S waves by an array of rigid piles in poroelastic soil.” J. Zhejiang Univ. Sci. A, 9(5), 589–599.
Cai, Y. Q., Ding, G. Y., and Xu, C. J. (2009). “Amplitude reduction of elastic waves by a row of piles in poroelastic soil.” Comput. Geotech., 36(3), 463–473.
Cao, Y. J., Hou, Z. L., and Liu, Y. Y. (2004). “Convergence problem of plane-wave expansion method for phononic crystals.” Phys. Lett. A, 327(2-3), 247–253.
COMSOL 5.1 [Computer software]. COMSOL Software, Burlington, MA.
COMSOL Software. (2015). COMSOL 5.1 multiphysics reference manual, Burlington, MA.
Dobry, R., Vicente, E., O’Rourke, M. J., and Roesset, J. M. (1982). “Horizontal stiffness and damping of single piles.” J. Geotech. Engrg. Div., 108(3), 439–459.
Gatmiri, B., and Eslami, H., (2007). “Scattering of harmonic waves by a circular cavity in a porous medium: Complex functions theory approach.” Int. J. Geomech., 371–381.
Graczykowski, B., Alzina, F., Gomis-Bresco, J., and Sotomayor Torres, C. M. (2016). “Finite element analysis of true and pseudo surface acoustic waves in one-dimensional phononic crystals.” J. Appl. Phys., 119(2), 025308.
Huang, J. K. (2014). “Application of periodic pile barriers and wave barriers to reduce vibrations in civil engineering.” Ph.D. thesis, Beijing Jiaotong Univ., Beijing (in Chinese).
Huang, J. K., and Shi, Z. F. (2013a). “Attenuation zones of periodic pile barriers and its application in vibration reduction for plane waves.” J. Sound Vib., 332(19), 4423–4439.
Huang, J. K., and Shi, Z. F. (2013b). “Application of periodic theory to rows of piles for horizontal vibration attenuation.” Int. J. Geomech., 132–142.
Huang, J. K., and Shi, Z. F. (2015). “Vibration reduction of plane waves using periodic in-filled pile barriers.” J. Geotech. Geoenviron. Eng., 04015018.
Jensen, J. S. (2003). “Phononic band gaps and vibrations in one- and two-dimensional mass–spring structures.” J. Sound Vib., 266(5), 1053–1078.
Kattis, S. E., Polyzos, D., and Beskos, D. E. (1995). “Structural vibration isolation by rows of piles.” Proc., 7th Int. Conf. on Soil Dynamics and Earthquake Engineering, WIT, Ashurst, U.K., 509–516.
Kattis, S. E., Polyzos, D., and Beskos, D. E. (1999). “Modelling of pile wave barriers by effective trenches and their screening effectiveness.” Soil Dyn. Earthquake. Eng., 18(1), 1–10.
Khelif, A., Choujaa, A., Djafari-Rouhani, B., Wilm, M., Ballandras, S., and Laude, V. (2003). “Trapping and guiding of acoustic waves by defect modes in a full-band-gap ultrasonic crystal.” Phys. Rev. B, 68(21), 214301.
Liao, S., and Sangrey, D. A. (1978). “Use of piles as isolation barriers.” J. Geotech. Engrg. Div., 104(9), 1139–1152.
Liu, J. B., Yin, G. U., and Du, Y. X. (2006). “Consistent viscous-spring artificial boundaries and viscous-spring boundary elements.” Chinese J. Geotech. Eng., 28(9), 1070–1075 (in Chinese).
Liu, X. N., Shi, Z. F., and Mo, Y. L. (2015a). “Comparison of 2D and 3D models for numerical simulation of vibration reduction by periodic pile barriers.” Soil Dyn. Earthquake. Eng., 79(Part A), 104–107.
Liu, X. N., Shi, Z. F., Xiang, H. J., and Mo, Y. L. (2015b). “Attenuation zones of periodic pile barriers with initial stress.” Soil Dyn. Earthquake. Eng., 77, 381–390.
Lu, J. F., Xu, B., and Wang, J. H. (2009a). “Numerical analysis of isolation of the vibration due to moving loads using pile rows.” J. Sound Vib., 319(3–5), 940–962.
Lu, J. F., Xu, B., and Wang, J. H. (2009b). “A numerical model for the isolation of moving-load induced vibrations by pile rows embedded in layered porous media.” Int. J. Solids Struct., 46(21), 3771–3781.
Pennec, Y., Vasseur, J. O., Djafari-Rouhani, B., Dobrzyński, L., and Deymier, P. A. (2010). “Two-dimensional phononic crystals: Examples and applications.” Surf. Sci. Rep., 65(8), 229–291.
Richart, F. E., Hall, J. R., and Woods, R. D. (1970). Vibrations of soils and foundations, Prentice Hall, Upper Saddle, NJ.
Tsai, P. H., Feng, Z. Y., and Jen, T. L. (2008). “Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration.” Comput. Geotech., 35(3), 489–499.
Wang, Y. F. (2015). “Bandgap properties and design of phononic crystals with resonant units.” Ph.D. thesis, Beijing Jiaotong Univ., Beijing (in Chinese).
Woods, R. D., Barnett, N. E., and Sagesser, R. (1974). “Holography—A new tool for soil dynamics.” J. Geotech. Engrg. Div., 100(11), 1231–1247.
Xia, T. D., Sun, M. M., Chen, C., Chen, W. Y., and Xu, P. (2011). “Analysis on multiple scattering by an arbitrary configuration of piles as barriers for vibration isolation.” Soil Dyn. Earthquake. Eng., 31(3), 535–545.
Xu, P., Zhou, X. M., and Xia, T. D. (2007). “Discontinuous barrier used a row of elastic piles for incident elastic waves.” J. Vib. Eng., 20(4), 388–395 (in Chinese).
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Published In
International Journal of Geomechanics
Volume 18 • Issue 6 • June 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Apr 20, 2017
Accepted: Dec 5, 2017
Published online: Mar 19, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 19, 2018
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