Periodic pile barriers for Rayleigh wave isolation in a poroelastic half-space

Pu, Xingbo; Shi, Zhifei

doi:10.1016/j.soildyn.2019.02.029

Cited by 74 publications

(14 citation statements)

References 51 publications

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“…There are three modal Rayleigh waves (i.e., R1, R2 and R3 waves) corresponding respectively to compression waves (i.e., P1, P2 and P3 waves) in the vibration process of unsaturated soil 3,4 . However, in practical engineering applications, the effect of various Rayleigh waves on the dynamic response of soil layer are usually considered according to the superposition method 5 . To accurately derive the vertical and horizontal displacements of free‐field soil under the action of Rayleigh waves (only downward waves), one can obtain the following expressions through operator decomposition theory and variable separation method: 1,2

\begin{equation}{\varphi }_s = {A}_{s1}\exp \left( { - {s}_1z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {A}_{s2}\exp \left( { - {s}_2z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {A}_{s3}\exp \left( { - {s}_3z - {\mathop{\rm i}\nolimits} k_Rx} \right)\end{equation}

\begin{equation}{\varphi }_f = {d}_{f1}{A}_{s1}\exp \left( { - {s}_1z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {d}_{f2}{A}_{s2}\exp \left( { - {s}_2z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {d}_{f3}{A}_{s3}\exp \left( { - {s}_3z - {\mathop{\rm i}\nolimits} k_Rx} \right)\end{equation}

φ_{a} badbreak= d_{a 1} A_{s 1} \exp ((), badbreak- s_{1})

…”

Section: Free Field Response Of Unsaturated Soil Subjected To Rayleig...mentioning

confidence: 99%

“…3,4 However, in practical engineering applications, the effect of various Rayleigh waves on the dynamic response of soil layer are usually considered according to the superposition method. 5 To accurately derive the vertical and horizontal displacements of free-field soil under the action of Rayleigh waves (only downward waves), one can obtain the following expressions through operator decomposition theory and variable separation method: 1,2…”

Section: Solution Of Wave Equationsmentioning

confidence: 99%

“…The generated surface waves can be further divided into Rayleigh waves, Love waves and Stoneley waves, among which Rayleigh waves is widely concerned by scholars for it accounts for 67.3% of total input energy 3,4 . Different from the formation mechanism of pressure waves and shear waves, Rayleigh waves is more easy to be generated in construction sites, expressways, machine operation sites and other places 5 . Thus, many researchers have tried to use the propagation characteristics of Rayleigh waves to detect foundation integrity and inverse geotechnical parameters 6–8 .…”

Section: Introductionmentioning

confidence: 99%

“…3,4 Different from the formation mechanism of pressure waves and shear waves, Rayleigh waves is more easy to be generated in construction sites, expressways, machine operation sites and other places. 5 Thus, many researchers have tried to use the propagation characteristics of Rayleigh waves to detect foundation integrity and inverse geotechnical parameters. [6][7][8] However, the horizontal shear motion and slow attenuation of Rayleigh waves in shallow soil layers are likely to cause damage to structures and foundations, so it is considered as a harmful surface wave in earthquake-prone areas.…”

Section: Introductionmentioning

confidence: 99%

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Flexible support of a pile embedded in unsaturated soil under Rayleigh waves

Yang

Líu

et al. 2022

Earthq Engng Struct Dyn

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Under the action of Rayleigh waves, pile head is easy to rotate with a concrete pile cap, and pure fixed-head condition is rarely achieved, which is a common phenomenon for it usually occurs on the precast piles with insufficient anchorage. In addition, the propagation characteristics of Rayleigh wave have been changed significantly due to the existence of capillary pressure and the coupling between phases in unsaturated soil, which significantly affects the pile-soil interaction. In order to study the above problems, a coupled vibration model of unsaturated soil-pile system subjected to Rayleigh waves is established on the basis that the pile cap is equivalent to a rigid mass block. Meanwhile, the soil constitution is simplified to linear-elastic and small deformations are assumed to occur during the vibration phase of soil-pile system. Then, the horizontal dynamic response of a homogeneous free-field unsaturated soil caused by propagating Rayleigh waves is obtained by using operator decomposition theory and variable separation method. The dynamic equilibrium equation of a pile is established by using the dynamic Winkler model and the Timoshenko beam theory, and the analytical solutions of the horizontal displacement, rotation angle, bending moment and shear force of pile body are derived according to the boundary conditions of flexible constraint of pile top. Based on the present solutions, the rationality of the proposed model is verified by comparing with the previous research results. Through parametric study, the influence of rotational stiffness and yield bending moment of pile top on the horizontal dynamic characteristics of Rayleigh waves induced pile is investigated in detailed. The analysis results can be utilized for the seismic design of pile foundation under Rayleigh waves.

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\begin{equation}{\varphi }_s = {A}_{s1}\exp \left( { - {s}_1z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {A}_{s2}\exp \left( { - {s}_2z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {A}_{s3}\exp \left( { - {s}_3z - {\mathop{\rm i}\nolimits} k_Rx} \right)\end{equation}

\begin{equation}{\varphi }_f = {d}_{f1}{A}_{s1}\exp \left( { - {s}_1z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {d}_{f2}{A}_{s2}\exp \left( { - {s}_2z - {\mathop{\rm i}\nolimits} k_Rx} \right) + {d}_{f3}{A}_{s3}\exp \left( { - {s}_3z - {\mathop{\rm i}\nolimits} k_Rx} \right)\end{equation}

φ_{a} badbreak= d_{a 1} A_{s 1} \exp ((), badbreak- s_{1})

…”

Section: Free Field Response Of Unsaturated Soil Subjected To Rayleig...mentioning

confidence: 99%

Section: Solution Of Wave Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Flexible support of a pile embedded in unsaturated soil under Rayleigh waves

Yang

Líu

et al. 2022

Earthq Engng Struct Dyn

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show abstract

“…The study of mitigation measures has also received significant attention among researchers due to the negative impact of railways in terms of noise and vibrations, especially appreciable in urban environments. It is well known that these measures are applicable in three different areas: (i) in the rail tracks, with elastic mats used under the track [ 8 ], subgrade stiffening [ 9 ], and improvements in rail irregularities and wheel defects, among others; (ii) in the wave propagation path, such as open trenches and filled trenches [ 10 , 11 , 12 , 13 , 14 , 15 , 16 ] among others and buried periodic inclusions [ 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]; and (iii) on the building, through base isolation solutions [ 32 ].…”

Section: Introductionmentioning

confidence: 99%

Use of Tyre-Derived Aggregate as Backfill Material for Wave Barriers to Mitigate Railway-Induced Ground Vibrations

Fernández-Ruiz

Rodríguez

Costa

2020

IJERPH

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The use of piles as barriers to mitigate vibrations from rail traffic has been increasing in theoretical and practical engineering during the last years. Tyre-derived aggregate (TDA) is a recycled material with some interesting applications in civil engineering, including those related to railway engineering. As a novelty, this paper combines the concept of pile wave barriers and TDA material and investigates the mitigation effect of pile barriers made of TDA on the vibrations transmitted by rail traffic. This solution has a dual purpose: the reduction of railway vibrations and the recycling of a highly polluting material. The mitigation potential of this material when used as backfill for piles is analysed using a numerical scheme based on a 3D finite-difference numerical model formulated in the space/time domain, which is also experimentally validated in this paper in a real case without pile barriers. The numerical results show insertion loss (IL) values of up to 11 dB for a depth closed to the wavelength of Rayleigh wave. Finally, this solution is compared with more common backfills, such as concrete and steel tubular piles, showing that the TDA pile is a less effective measure although from an environmental and engineering point of view it is a very competitive solution.

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A locally resonant metamaterial and its application in vibration isolation: Experimental and numerical investigations

Ding,

Huang,

et al. 2024

Earthq Engng Struct Dyn

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Vibration isolation metamaterial barrier has been extensively studied in mitigating the damage induced by vibration, while a deeper understanding of the vibration isolation characteristics based on laboratory experiments is still lacking. In this work, a locally resonant metamaterial barrier is proposed, and a large‐scale laboratory experiment was first designed to investigate the isolation mechanism of the proposed metamaterial barrier. The metamaterial vibration isolation barrier is assembled by arraying 5 × 5 resonators. To better explain the observations in experiments and unveil the underlying isolation mechanism, COMSOL Multiphysics was also employed to simulate the laboratory experiment. Subsequently, the vibration isolation effect is quantitatively analyzed by analyzing the acceleration amplitude reduction spectrum (ARS) of the ground surface. The vibration isolation mechanism is discussed by monitoring the acceleration field around the metamaterial barrier. The results indicate that two significant locally resonant attenuation domains are observed, which are induced by the first‐order and second‐order vertical resonance frequencies of the metamaterial. Another experimental scheme that simultaneously monitored the acceleration of the mass block and the bottom of resonators was implemented to investigate vibration in the resonator. The vibration energy distribution on the mass block and the bottom of the resonator is found to depend significantly on the vibration frequency. When the frequency is lower than a certain frequency, the locally resonant is dominant. Otherwise, the geometric scattering is dominant. The vibration isolation mechanism of the locally resonance metamaterial was investigated by laboratory experiments and provided an effective solving path for isolating the low‐frequency vibration.

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Periodic pile barriers for Rayleigh wave isolation in a poroelastic half-space

Cited by 74 publications

References 51 publications

Flexible support of a pile embedded in unsaturated soil under Rayleigh waves

Flexible support of a pile embedded in unsaturated soil under Rayleigh waves

Use of Tyre-Derived Aggregate as Backfill Material for Wave Barriers to Mitigate Railway-Induced Ground Vibrations

A locally resonant metamaterial and its application in vibration isolation: Experimental and numerical investigations

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