Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration

Tsai, Pei-Hsun; Zhang, Feng; Jen, Tin-lon

doi:10.1016/j.compgeo.2007.05.010

Cited by 82 publications

(29 citation statements)

References 13 publications

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“…To verify the proposed method in this research, a numerical analysis was carried out and the result was compared with that of Feng and co-workers [11]. The material properties of the elastic soil are chosen as: shear modulus s = 132 MPa, mass density s = 1750 kg/m 3 , Poisson's ratio s = 0.25 and hysteretic damping s = 5%.…”

Section: Comparison With Published Resultsmentioning

confidence: 99%

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Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Cai

Ding

et al. 2009

Num Anal Meth Geomechanics

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SUMMARYA row of rigid piles is addressed as the countermeasures for isolating Rayleigh waves in a poroelastic half-space. The complex characteristic equations for Rayleigh waves are derived via Biot's theory and their existence conditions are given. The piles are modeled as Euler-Bernoulli beams with longitudinal displacements and the diffracted field by each pile is constructed only with Rayleigh waves. Six infinite linear systems of algebraic equations are obtained in terms of the equilibrium of forces and continuity of displacements at the pile-soil interfaces. The systems are subsequently solved in the complex leastsquares sense. The influence of certain pile and soil characteristics such as the permeability of poroelastic soil, spacing between the piles and length of the piles on the isolating performance of a pile barrier is investigated. Computed results show that the permeability of poroelastic soil displays a significant effect on the vertical amplitude reduction of Rayleigh waves.

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Section: Comparison With Published Resultsmentioning

confidence: 99%

“…sc f (11) where N is the number of piles. The wave potentials with respect to the cylindrical coordinate systems (r j , j , z) and (r l , l , z), in which j =l are related by the following transformation:…”

Section: Solution Of Governing Equations For a Poroelastic Mediummentioning

confidence: 99%

Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Cai

Ding

et al. 2009

Num Anal Meth Geomechanics

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“…In order to reduce the modeling complexity, Kattis et al [9] constructed an effective trench model to replace a pile row as the passive barrier. Most recently, the vibration isolation effect of four types of circular piles in a row for a massless square foundation subjected to harmonic vertical loads were studied by Tsai [10]. Moreover, the theoretical examination of passive isolation effectiveness of ground vibration with two or three rows of piles was conducted in [11].…”

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confidence: 99%

Numerical analysis of the isolation of the vibration due to Rayleigh waves by using pile rows in the poroelastic medium

Wang

2009

Arch Appl Mech

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The isolation of the vibration due to harmonic Rayleigh waves using pile rows embedded in a saturated poroelastic half-space is investigated in this study. Based on Biot's theory and the potential function method, the free field solution for Rayleigh waves along the surface of the poroelastic half-space is derived first. The fundamental solution for a harmonic circular patch load applied in the poroelastic half-space are obtained in terms of Biot's theory and the integral transform method. Using Muki's method and the fundamental solution for the circular patch load as well as the Rayleigh waves solution for the poroelastic half-space, the second kind of Fredholm integral equations in the frequency domain for pile rows are derived. Numerical solution of the integral equations yields the dynamic response of the pile-soil system to incident Rayleigh waves. Influences of various parameters on the vibration isolation effect of piles rows are investigated numerically. Numerical results suggest that for the same vibration source, the same pile rows will produce a better vibration isolation effect for the poroelastic medium than for a single phase elastic medium. Also, stiffer piles tend to have better vibration isolation effect than flexible piles. Moreover, the pile length and the spacing between neighboring piles in each pile row have significant influence on the vibration isolation effect of pile rows.

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“…Kattis et al [6] numerically solved vibration isolation of one-row piles with 3D frequency domain BEM. Tsai et al [7] used 3D frequency domain FEM to simulate the block process of Rayleigh waves by one-row pile barrier with various materials in half-space. Xu et al [8] used complex variable method to investigate the characteristics of elastic wave scattering by arbitrarily shaped cavities in saturated soil and gave transient solutions as well.…”

Section: Introductionmentioning

confidence: 99%

Multiple Scattering of P₁ Waves by Arbitrarily Arranged Cavities in Saturated Soils

Sun

Fang

Zheng

et al. 2018

Shock and Vibration

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Based on Biot's saturated soil wave theory, using wave function expansion method, theoretical solutions of multiple scattering of plain P 1 waves are achieved by rows of cavities as barrier with arbitrarily arranged cavities in saturated soil. Undetermined complex coefficients after wave function expansion are obtained by cavities-soil stress and displacement free boundary conditions. Numerical examples are used to investigate variation of dimensionless displacement amplitude at the back and force of cavities barrier under P 1 wave incident, and it is also discussed that the main parameters influenced isolation effect such as scattering orders, separation of cavities, distances between cavity rows, numbers of cavities, and arrangement of barriers. The results clearly demonstrate optimum design proposals with rows of cavities: with the multiple scattering order increases, the displacement amplitude tends to converge and the deviation caused by subsequent scattering cannot be neglected; it will obtain higher calculation accuracy when the order of scattering is truncated at = 4; it is considered to select 2.5 ≤ p / ≤ 3.0 and 2.5 ≤ ℎ/ ≤ 3.5, while designing cavity spacing and row-distance, respectively. The isolation properties of elastic waves with rectangular arrangement (counterpoint) are weaker than that with hexagonal arrangement (counterchanged) when the row-distance of barrier is uniform.

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Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration

Cited by 82 publications

References 13 publications

Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Numerical analysis of the isolation of the vibration due to Rayleigh waves by using pile rows in the poroelastic medium

Multiple Scattering of P₁ Waves by Arbitrarily Arranged Cavities in Saturated Soils

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Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration

Cited by 82 publications

References 13 publications

Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Numerical analysis of the isolation of the vibration due to Rayleigh waves by using pile rows in the poroelastic medium

Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils

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Multiple Scattering of P₁ Waves by Arbitrarily Arranged Cavities in Saturated Soils