Abstract
An analytical solution of elastic waves scattered by a series of arbitrarily arranged cylindrical piles in saturated soils is achieved based on Biot’s poroelastic theory and multiple scattering method in acoustics and electromagnetics. The elastic waves are expanded by cylindrical functions with undetermined complex coefficients, and the first order of scattering is satisfied with the boundary conditions at the certain pile; therefore, the coefficients of the first-order scattering are obtained. Subsequently, regarding the first order of scattering waves as the secondary excitation to the remaining piles, it is also contented with required boundary conditions; thus, the second order of undetermined complex coefficients are acquired by generalized Graf’s addition theorem. The successive scattering could be repeated as the same manner. The vibration reduction of elastic waves by rows of piles is calculated. The numerical results demonstrate that the defection of neglecting subsequent scattering waves’ coherence has been corrected by considering scattering waves as every secondary wave source in multiple scattering theory. It is also discussed the main parameters influencing the vibration reduction effect such as scattering orders, separations between piles, distances between pile rows, shear modulus ratio of pile and soil and barrier size, and several significant suggestions of optimal design are concluded.
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References
Woods RD, Barnett NE, Sagesser R (1974) Holography, a new tool for soil dynamics. J Geotech Eng Div 100(11):1231–1247
Liao S, Sangrey DA (1978) Use of piles as isolation barriers. J Geotech Eng Div 104(9):1139–1152
Gao GY, Yang XJ, Wang YS et al (1997) Theory and application of vibration isolation by piles in rows. J Build Struct 18(4):58–69
Xia TD, Chen C, Sun MM (2011) An improved method for multiple scattering under SV incident waves and vibration isolation using rows of piles. J Vib Shock 4:86–90
Xia TD, Sun MM, Chen C et al (2011) Analysis of multiple scattering by an arbitrary configuration of piles as barriers for vibration isolation. Soil Dyn Earthq Eng 31(3):535–545
Xu P (2012) Isolation of plane elastic waves by discontinuous barriers composed of several rows of piles. J Rock Mech Geotech Eng 31(S1):3159–3166
Xu P, Deng YH, Wu M (2014) Isolation of fast compressive waves by barriers composed of several rows of piles saturated soils. Eng Mech 5:120–127
Sun MM (2012) Research on multiple scattering of elastic waves by rows of discontinuous barrier. Zhejiang University, Hangzhou
Sun MM, Liang GQ, Xia TD et al (2014) Ground vibration isolation of multiple scattering by using rows of tubular piles as barrier. Sound Vib 894213
Liu ZX, Wang SJ (2016) Isolation effect of discontinuous pile-group barriers on plane P and SV waves: simulation based on 2D broadband indirect boundary integration equation method. Rock Soil Mech 37(4):1195–1207
Lu JF, Zhang X, Li CX (2014) Vibration isolation system for linked pile rows and its numerical simulation. Chin J Geotech Eng 36(7):1316–1325
Lu JF, Zhang X, Zhang R (2014) A wave number domain boundary element model for the vibration isolation via a new type of pile structure: linked pile rows. Arch Appl Mech 84:401–420
Ding HB, Yang YY, Xu CJ et al (2017) Vibration isolation analysis of elastic continuous barrels in saturated soil. Noise Vib Control 37(5):149–153
Liu ZJ, Xia TD, Huang R et al (2015) Comparison and discussion for Biot theory and modified Biot one. J Vib Shock 34(4):148–152
Biot MA (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid, I, low frequency range. J Acoust Soc Am 28(2):168–178
Acknowledgements
The authors are grateful to anonymous reviewers for their helpful advice and valuable comments. The work described in this paper was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY18E080024, Y16E090021), National Science Foundation of China (Grant No. 51408549).
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Sun, M., Zhu, H., Wei, X., Fang, H., Zhou, L. (2020). Vibration Reduction with Rows of Arbitrarily Arranged Elastic Piles in Saturated Soil by Multiple Scattering Method. In: Tutumluer, E., Chen, X., Xiao, Y. (eds) Advances in Environmental Vibration and Transportation Geodynamics. Lecture Notes in Civil Engineering, vol 66. Springer, Singapore. https://doi.org/10.1007/978-981-15-2349-6_45
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DOI: https://doi.org/10.1007/978-981-15-2349-6_45
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